Question # 1

The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

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The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

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If f (x) = |x|, then (0,0) is the

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Critical point

Inflection point

Stationary point

None of these

When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

The system of measurement in which the angle is measured in radians is called the

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circular system

CGS system

sexagesimal system

none of these

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

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4

64

8

All values of k

Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

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y : x

x : y

-y : x

-x : y

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The equation of the circle wit (-1, 1) and radius 2 is

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If cosα= 4/5, then cosα/2

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The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to

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-2

2

3

-1

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

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A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

Number of lines passing through three non-collinear points is

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2

3

1

0

∞

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The line joining the center of a circle to the midpoint of the chord is

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Perpendicular to the tnagent

Perpendicular to the normal

Perpendicular to the chord

The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

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The surface generated by lines, consists of two parts, called:

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vertex

apex

nappes

axis

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none of these

The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

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2x + 2y

4 - x²

-x/y

x/y

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

If 4 > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

None of above

Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

A number A is called the arithmetic mean between a and b if a, A, b is ______

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Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

a.a^-1 = a^-1.a = 1 is a

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Commutative law of multiplication

Multiplicative identity

Associative law of multiplication

Multiplicative inverse

In one hour the minute hand of a clock turns through

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The set {1,-1, i, -i} form a group under

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Addition

Multiplication

Subtraction

None

Domain of cosec x is ______

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The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

No term of a harmonic sequence can be

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0

1

2

3

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The 7th term of the A.P 7,11,15,is

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24

31

26

23

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3

1

4

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The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

A matrix in which the number of rows is equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

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An equation which holds good for all values of variables is called

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Equation

Conditional equation

Constant

None

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Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

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A

A'

U

U'

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

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0

1

-1

None

The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

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X = 100 sinθ

X = 10 sinθ

X = 100 secθ

None of these

sin2 π/6 + sin2 π/3 + tan2 π/4 =______;

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1

2

3

4

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a cot(ax + b) + c

- a cot(ax + b) + c

tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

The additive inverse of a matrix A is

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None of these

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Period of Tangent function is

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0°

-π

π

2π

An ellipse slides between two lines at right angles to one another. The locus of its centre is :

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a parabola

an ellipse

a circle

a hyperbola

The are of the circle centred at ( 1 , 2) and passing through ( 4 , 6) is:

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10π

25π

5π

25/2π

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

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(1,4)

(4,2)

(3,1)

(4,1)

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5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

Roots of the equation 9x²- 12x + 4 = 0 are

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Real and equal

Real and distinct

Complex

None of these

The corner point of the boundary lines, x-2y

2x + y = 2 is:

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(2,6)

(6,2)

(-2,2)

(2,-2)

The standard form of the quadratic function f(x) = -x² +4x+2, is

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(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

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Order

Degree

Variables

All are correct

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A vector with magnitude one is called

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constant vector

unit vector

zero vector

null vector

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

f(x) = C is

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identity function

constant function

linear function

quadratic function

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

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Sin 270° = ______

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-1

0

1

Undefined

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(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

Sum of n terms of a geometric series if | r | < 1 is

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The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

In ladder leaning against a vertical well makes an angle of 24^𝜊with the wall, Its foot is 5m from the wall, its length is

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5.47m

2m

7m

6.29m

The period of 3 sin x is

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2π

9π

3π

5π

Which compound contains - OH in their molecule

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Alcohol

Phenol

Alcohol and phenol

Ether

Which bond is most stable

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C - Cl

C - F

C - Br

C - I

Protein may have

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Primary structure

Secondary structure

Tertiary structure

All of these

Transition elements have valence electrons in

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s-orbital

p-orbital

d-orbital

f-orbital

How many isomeric disubtituted products are obtained by the introducing of second group in the ring

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Two

Three

Four

None

When the rate of reaction is entirely independent of the conc. of reaction molecules then order of reaction is

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Zero

First

Second

Third

Oleum is

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Castor oil

Oil of vitriol

Fuming of H₂SO₄

None of them

Which of the following is a water soluble vetamin?

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Niacin

Riboflavin

Trypsin

Ascorbic acid

If initial concentration of the reactants and half life period of the reaction is known, then we can determine

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Average rate of reaction

Order of reaction

Rate constant k

Instantaneous rate

Selection of filter paper depends upon sizes of particles to be:

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Tested

^Filtered

Checked

All of above

Which of the following molecules have multiple bonds

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CH₄

C₂H₄

C₂H₆

CCI₄

The color of Cr³⁺ion is

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Violet

Blue

Pink

Green

A white precipitate ofsilver chlorideimmediately formed on additionof :

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Silver nitrate solution to sodium chloride solution.

Silver chloride solution to sodium nitrate solution.

Silver nitrate solution to potassium chloride solution

Silver nitrate solution to hydrogen chloride solution.

The rate of reaction between two specific time intervals is called

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Instantaneous rate

Average rate

Specific rate

Ordinary rate

H₂+ L₂----2Hl

In the above equilibrium system, if the concentration of reactants at 25°C is increased, the value K_C will :

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Remains Constant

Increases

Cecreases

Depends upon nature of reactans

On warming with silver powder,chloroform is converted into

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Acetylene

Hexachloroethane

1,1,2,2-tetrachloroethane

ethylene

Alkyl halides when reduced with nascent hydrogen in the presence of Zn + HCI, are converted to

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Alkynes

Alkenes

Alkanes

Alcohol

Which one of the following is a water soluble vitamin

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Niacin

Riboflavin

Tyrosine

Ascorbic acid

Atmosphere of big/metropolitan cities is polluted most by

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Automobile exhausts

Pesticide residue

Household waste

Radio-active fall out

Drained sewage has B.O.D

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More than that of water

Less than that of water

Equal to that of water

None of the above

The alkali metal which is liquid at 15°C is

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K

Cs

Na

None

In passage of electricity through aqueous solution of AgNO₃silver dissolves at anode to form Ag⁺, the electrodes are

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Silver metal

Pt metal

Graphite

Copper metal

Carboxyl group has functional group in it:

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One

Two

Three

Four

Gasoline is a mixture of hydrocarbons containing carbon atoms

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5 to 10

5 to 8

5 to 12

5 to 11

Alkenes normally have ______ geometry

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Tetrachedral

Linear

Planer

None

E₁mechanism is generally shown by

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1° - RX

2° - RX

3° - RX

None of these

Chloroflurocarbon releases a chemical harmful to ozone

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Fluorine

Chlorine

Nitrogen peroxide

Sulphure dioxdie

Which isomer of C₅H₁₁OH gives, one dehydration, the greastest number of different alkenes

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Which of the following acid can be used as a catalyst in Friedal Craft's reactions

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AlCl₃

HNO₃

BeCl₂

NaCl

Ethyl alcohol on oxidation with K₂Cr₂O₇gives

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Acetic acid

Acetaldehyde

Formaldehyde

Formic acid

Rectified spirit contains alcohol about

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80%

85%

90%

95%

Hydrocarbans, SO₂, CO, NH₃, nitrogen oxides and compounds of fluorine are called

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Primary pollutant

Secondary pollutant

Tertiary pollutant

None of these

Synthesis rubber is made by polymerization :

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Chloroform

Acetylene

Divinyl acetylene

Butene

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2

3

4

9

Three sp²hybrid are co-planar at an angle of

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104.5°

109.5°

107°

120°

Grignard's reagent on treatment with dry CO₂and HCI yields

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Ester

Alcohol

Carboxylic acid

Aldehyde

Which of the following is obtained when Fe reacts with dil. HNO₃?

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N₂O

NO

NO₂

None of these

Reactivity of alkyl halides with magnisium is of the order:

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Rl > RBr> RCl > RF

RBr > RCl >RF > Rl

RCL > RF > Rl > RBr

RF >RI >RBr > RII

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Initial concentration of reaction

Initial concentration of products

Final concentration of products

Order of the reaction

Which is not true with respect to cathode rays?

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A stream of electrons

Charged particles

Move with speed as that of light

Can be deflected by magnetic fields

The molarity of the solution containing x grams (NH₄)₂SO₄in 500 cm³of the solution is 0.6 what is x

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39.6

45.1

40.5

42.7

Li, Be, B, C, O, Fl Ne are elements of

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Second period

First period

Third period

Fourth period

Each of the following is true of white and red phosphours except that they

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Are both soluble in CS₂

Can be oxidized by heating in air

Consist of the same kind of atoms

Can be converted into one another

Which is the derived lipid?

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Common fats

Vitamin-D

Common oils

Spinolipids

N₂ + O₂ ⇌2NO

The unit of K_c for tis reaction will be:

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No unit

mol^-2 dm^-3

mol^-1 dm^-3

mol^-2 dm⁺³

Orbital having same energy is called:

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Hybrid orbital.

Valence orbital.

Degenerate orbital.

D-orbital.

H-bonding is not present in

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Glycerine

Water

Hydrogen sulphide

Hydrogen fluride

A bond between two atoms may be obtained by sharing of electrons such a bond is called

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An ionic bond

A coordinate bond

A dative bond

A covalent bond

How does the ionization energy of 1st group elements vary?

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Increases down the group

Decreases down the group

Remains unchanged

Variation is not regular

Which one of the following reacts immediately with conc. HCI in the presence of ZnCI₂

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Primary alcohol

Secondary alcohol

Tertiary alcohol

Ether

Metallic conduction is due to the

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Movement of electrons

Movement of ions

Both a and b

None of these

Phosphide ion has the electronic structure similar to that of

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Nitride ion

Fluoride ion

Sodium ion

Chloride ion

Which of the following does give violet colour with neutral ferric chloride?

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Acetic acid

Salicaylic acid

Formine acid

Benzoic acid

In Lucas test teriary alcohol make an oily layer

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Immediately

In 10 mins

On heating

Not

On passing HCI gas through a saturated solution of commercial sodium chloride, pure crystals of NaCI are precipitated due to

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Increase in pH of the solution

Decrease in pH of the solution

Common ion effect

Increase in ionization of NaCl

Coal is used to bake bricks in lime kiln:

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40%

60%

80%

None of these

One of the following bonds is polar but compound is non-polar

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H₂O

NH₃

HCl

CO₂

The process in which the solvent molecules are surrounded and interact with solute ions or molecules is called

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Solvation

Hydration

Hydrogenation

None

The largest number of molecules are present in

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3.6 g of H₂O

4.8 g of C₂H₅OH

2.8 g of CO

5.4 g of N₂O₅

Which of the following statement is correct for a chemical reaction to occur molecules of substances must

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Collide with each other

Collide with energy more than activation energy

Collide with energy less than activation energy

Collide with high frequency

By simply reacting Grignand's reagent with water we get

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An alkane

Higher alkane

An alkene

An alkyne

Acetic Acid is obtained from:

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Red out

Vinegar

Butter

Milk

Which element among the following belongs to Group IV-A of the periodic table?

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Barium

Iodine

Lead

Oxygen

Hydrolysis of Grignard's reagent gives:

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Alkane

Alkyl

Halide

Alcohol

Optical activity is possible in

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Oxalic acid

Acetic acid

Tartaric acid

Formic acid

18 g glucose is dissolved in 90 g of water. The relative lowering vapor pressure is equal to :

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1/5

5.1

1/51

6

Which element has highest oxidation potential

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Li

Be

Ba

Ra

Which one of the following is the most abundant organic substance found in nature

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Fructose

Starch

Glucose

Cellulose

An alkane is produced when an alkyle halide reacts with zinc in the presence of

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HCl

CH₃COOH

Both a & b

None

A complete chemical characterization of a compound must include

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Qualitative analysis

Chemical analysis

Quantitative analysis

Both a and c

During the manufacturing process of cement the temperature of the decomposition zone goes up to

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600°C

800°C

1000°C

1200°C

Which of the following has highest first ionization potential?

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Carbon

Oxygen

Nitrogen

Boron

The hydrocarbon used for polymerization is

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Alkanes

Alkenes

Alkynes

All of above

Caroxyl group has functional in it.

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one

two

three

four

Which of the following is not an ortho-para directing group

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Favour the formation of N₂O₄

Favour the decomposition of N₂O₄

Not alter the equilibrium

Stop the reaction

Choose an answer

Which factor is helping to reduce the environmental pollution

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Rapid growth of population

Urbanization

Industrialization

Increase of plantation

Which of the following isoelectronic ions has the lowest ionization energy?

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K⁺

Ca²⁺

Cl^-

S^2-

An electric current is passed through silver voltameter connected to a water voltmeter. The cathode of the silver voltameter is 0.108 g more at the end of the electrolysis. The volume of oxygen evolved at STP is

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56 cm³

550 cm³

5.6 cm³

11.2 cm³

Polycyolic aromatic hydrocarbons are taught to be

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Disinfectant

Carcinogenic

Helpful

Reactive

CL₂, N₂ and O_{2 are:}

Choose an answer

Diatomic molecules

Hetero atomic molecules

Poly-atomic molecules

Mono-atomic molecules

Simple sugars are :

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Monosaccharides

Disaccharides

Oligo saccharides

Trisaccharides

Chemical composition of colemnite is:

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Ca₂B₆O₁₁.5H₂O

CaB₄O₇ .4 H₂O

Na₂B₇O₇. 4 H₂O

CaNaB₅O₉.8H₂O

Amino acids contain functional groups in it:

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--CO--

--OH

---NH₂

All of these

Phenol is also known as

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Acetic acid

Carbolic acid

Tararic acid

Trichloroacetic acid

The presence of a double bond in a compound in the sign of:

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Saturation

Unsaturation

Subsitution

None

The conductivity of strong electrolyte

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Increases on dilution slightly

Does not change on dilution

Decreases on dilution

Depends on density of electrolyte it self

Their e/m, ratio resembles with that of electrons

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Alpha rays

Beta rays

Gamma rays

X-rays

The number of de-electrons retained in Fe²⁺(At.No. of Fe = 26) ions is

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3

4

5

6

Activity of the enzyme is reduced by

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Temperature

Concentration

pH

Inhibitors

Fe⁺³and Mn²⁺are strong paramagnetic because the number of unpaired electrons in each is

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4

5

6

7

Which is not a method for solid waste management

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Landfill

Incinerating

Recycling

None of these

Preparation of vegetable ghee involves:

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Halogenation

Hydrogenation

Hydroxylation

Dehydrogenation

Which of the following is the most suitable method for removing the traces of water from ethanol?

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Reacting with Na metal

Passing dry HCl through it

Distilling it

Reacting with Mg

Those compound which have any atom other than C as member of rings are called as

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Monocyclic

Hetrocyclic

Aliphatic

Both a and b

A transition element is defined as an element of 3d series

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Which is metal

Which has one stable ion

Which has two stable ions

Which has at least one stable ion with incomplete d-orbital

The human body can synthesize ______ amino acids

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1

10

20

19

Which woody raw material is used for the manufacture of paper pupl

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Cotton

Bagasse

Poplar

Rice straw

The order of distance between the various Bohr orbits is

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r₂- r₁> r₃- r₂> r₄- r₃> ......

r₁> r₂> r₂- r₃> r₄-r₃> .....

r₂-r₁= r₃- r₂= r₄- r₃> .....

r₂- r₁> r₃- r₂< r₄- r₃< ....

Which of the following are thermoplastic materials

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PVC

Polystyrenes

Polyethylene

All these

Stoke;s law is not applicable when the speed of the object moving through a fluid is:

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Zero

Small

Large

None of these

Mass of proton is of order of

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10^-31gm

10^-27kg

10^-24gm

10⁺²⁷kg

Victor de-Brogile received the Nobel prize in physics in

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1925

1929

1932

1935

The mass of the nucleus is always less than the total man of the protons and neutron that make up the nucleus. The difference of the two masses is called

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nuclear fission

nuclear fusion

man defect

radioactivity

If water rises 4 cm in a long, thin tube because of capillary action, then, under corresponding conditions of use, the rise (in the tube) of a liquid whose density is 2 g/cm²will be

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1 cm

2 cm

8 cm

None

Which one of the following has larger value of relative permitivity E_rat room temperature?

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Vaccum

Air

Glass

Water

On the power stroke, a spark fires the mixtures causing a rapid increase in pressure and temperature and the burning mixture expands

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adiabatically

isothermally

isochorically

isobarically

Which of the following material has smaller has life

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uranium

polonium

radium

radian

In YDS experiment, fringe spacing means the distance between two consecutive ____fringes.

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Bright

Dark

Any of A and B

None of these

When the pn-junction is forward biased. the current flows through it is of the order of

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mili-amperes

amperes

nano-amperes

micro-amperes

A device used to measure the speed of liquid flow is known as

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barometer

speedometer

sphygmomanometer

venture-meter

A point on the rim of a wheel moves 0.2 m when the wheel turns through an angle of 14.3 degrees. The radius of the wheel is:

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0.05 m

0.08 m

0.8 m

0.008 m

the symbol to be used in relativity problems denotes:

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Dilated time

Proper time

Life time

Half time

None of these

A grating with high resolving power can distinguish _______ difference in wavelengths :

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Smaller

Larger

Zero

None of these

If the two charges in Coulomb's law have double distance between them, then electric force

Choose an answer

Becomes two-fold

Becomes four-fold

Remains the same

None of these

The bicycle pump provides a good example of

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first law of thermodynamics

second law of thermodynamics

third law of thermodynamics

none of them

In SHM, there is always a constant ratio between displacement if body and its:

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Velocity

Period

Mass

Acceleration

The missing mass which is converted to energy in the formation of nucleus, is called

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packing fraction

mass defect

binding energy

none of these

A galvanometer in which the coil comes to rest quickly after the current passed through it, or the current stopped form flowing through it, is called

Choose an answer

dead beat galvanometer

stable galvanometer

shunt galvanometer

sensitive galvanomter

An important part of photocopier is:

Choose an answer

Toner cartridge

Deflection plates

Charging electrode

Print head

None of these

Coulomb force, when any material medium is placed between two charges

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Increases

Decreases

Remain unchanged

None of these

When brakes are applied to a fast moving car, the passengers will be thrown:

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Forward

Backward

Downward

None of these

A 50 volt battery is connected across 10 ohm resistor. The current is 4.5 A. The internal resistance of the battery is

Choose an answer

Zero

0.5Ω

1.1Ω

5.0Ω

In the equilibrium state, the potential difference between two ends of the conductor moving across a magnetic field is called:

Choose an answer

Motion emf

Electrostatic emf

Induced emf

Both A and B

Both A and C

An induced current can be produced by:

Choose an answer

Constant magnetic field

Changing magnetic field

Varying magnetic field

Constant electric field

None of these

The Space around the Earth within which it exerts a force of attraction on other bodies is known as

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Nuclear field

Conservative field

Electric field

Gravitational field

Which one of the following waves belongs to electromagnetic spectrum

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Radio and TV waves

Radar waves

Micro waves

All of them

Significant figures in 0.0010 are:

Choose an answer

Four

Three

Two

One

Charge on neutron is

Choose an answer

1.6 x 10^-19C

zero

-1.6 x 10^-19C

1.2 x 10^-19C

The current that flows through the coil of a motor causes

Choose an answer

Its shaft to revolve

Its brushes to rotate

Motor to move

Its shaft to rotate

None of these

Machine parts are jammed due to:

Choose an answer

Increasing in viscosity of lubricant

Decreasing in viscosity of lubricant

Decreasing in surface tension of lubricant

None of these

At the starting point of the free fall motion of an object, its acceleration will be

Choose an answer

maximum

minimum

zero

none of them

From sand, we get a material used for construction of computer chips. That material is called:

Choose an answer

Germanium

Silicon

Copper

Lead

When each particle of the fluid moves along a smoth path, this path is known as

Choose an answer

straight path

smooth path

haphazard path

steamline

A stationary sound wave has frequency 165 Hz (speed of sound in air = 330 m/s) then distance between two consecutive nodes is

Choose an answer

2 m

1 m

0.5 m

4 m

When two spherical conducting balls at different potentials are joined by a metallic wire, after some time:

Choose an answer

Both the conductors are at the same potential

Potential difference across the conductors remain constant

Potential difference across the conductors becomes zero

Both (A) and (B)

Both (A) and (C)

In a container having water filled up to a height h, a hole is made in the bottom. The velocity of water flowing out of the hole is

Choose an answer

Independent of h

Proportional to h^1/2

Proportional to h

Proportional to h²

Beta particles are

Choose an answer

hydrogen nuclei

helium nuclei

electrons

photons

When two protons are brought closer potential energy of both of them:

Choose an answer

Increases

Decreases

Remains same

None of these

A the top of the trajectory of a projectile, the directions of its velocity and acceleration are

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Perpendicular to each other

Parallel to each other

Inclined to each other at an angle of 45°

Anitparallel to each other

In a metal, the valence electrons are:

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Attached to individual atoms

Not attached to individual atoms

Free to move within the metal

Both A and B

Both A and C

The amplitude of oscillation of each atom in a metallic crystal rises with the

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rise in temperature

decrease in temperature

even temperature remains constant

all of them

Two forces of 10N and 8N are applied simultaneously to a body. The maximum value of their resultant is:

Choose an answer

20 N

-2 N

18 N

36 N

The Stephen-Boltzmann law for the black body radiation is given by

Choose an answer

E = T²

E = -T²

E = T⁴

E = -T⁴

0.1 kg mass will be equivalent to the energy

Choose an answer

9 x 10¹⁵J

5 x 10⁸J

6 x 10¹⁶J

9 x 10^-16J

High speed meteors rushing through air reduces to ashes because of:

Choose an answer

Force of gravity

High resistance of air

Drag force

None of these

A spring of constant k = 0.4 N m^-1is to be extended through 10 cm at a place where g = 10 m sec^-2. The mass to be suspended should be:

Choose an answer

4 gms

0.4 gm

40 gms

None of these

A magnifier gives an image which is:

Choose an answer

Virtual, inverted

Real, erect

Virtual, erect

Real, inverted

The alternative voltage of current is actually measured by:

Choose an answer

Its RMS value

Square root of its mean square value

Instantaneous value

Peak value

Both (A) and (B)

1 gm-cm^-3is equal to:

Choose an answer

10³kg-m^-3

10^-3kg-m^-3

1 kg-m^-3

10⁶kg-m^-1

The energy is found from Einstein's mass energy relation is called

Choose an answer

binding energy of electron

binding energy of proton

binding energy of neutron

binding energy of nucleus

The SI unit of electric field intensity is

Choose an answer

CN^-1

NC^-1or Vm^-1

JC^-1

AV^-1

The distance covered by the wave in one second is:

Choose an answer

Wave number

Wave length

Frequency

Wave speed

A structure of polymeric solid is:

Choose an answer

An ordered structure

A disordered structure

Intermediate between order and disorder

Any of these

None of these

A body is executing free vibrations when it oscilates

Choose an answer

with the interference of an external force

without the interference of an external force

with the interference of an internal force

none of them

The reactance of a coil when used in the domestic A.C. power supply (220 volts, 50 cycles per second) is 50 ohms. The inductance of the coil is nearly

Choose an answer

2.2 henry

1.6 henry

0.22 henry

0.16 henry

When a person jumps off the ground, the reaction force of the ground is

Choose an answer

greater than the weight of the person

smaller than the weight of the person

equal to the weight of the person

zero

If current through conductor is 1 A and length of conductor is 1m placed at right angle to the magnetic field, then the strength of magnetic field is

Choose an answer

F = B²

F = 0

F = B

F = B/2

The time taken by light to travel from moon to earth is:

Choose an answer

80 sec

500 sec

1.802 X 10⁴sec

Aerophysics

The unit of induced emf is:

Choose an answer

Volt

Nm/As

Joule coul^-1

Both A and C

All of these

Rocket engines lift a rocket from the earth surface, because hot gas with high velocity

Choose an answer

Push against the air

React against the rocket and push it up

Heat up the air which lifts the rocket

Push against the earth

A tube is tapered from 20 cm diameter to 2 cm diameter, the velocity at the first cross-section is 50 cm/s, then the velocity at the second cross-section is

Choose an answer

50 m/s

20 m/s

40 cm/s

5 cm/s

Photoelectrons are emitted when ultraviolet light falls on:

Choose an answer

Casium

Silver

Potassium

Any of these

None of these

Which of the following is not thermo dynamical function?

Choose an answer

Enthalpy

Work done

Gibb's energy

Internal energy

The analysis of the distribution of wavelengths of the radiation emitted from a hot body set the foundation of new mechanics, known as

Choose an answer

classical mechanics

Newtonian mechanics

quantum mechanics

statistical mechanics

Which one of the following is dimensionless:

Choose an answer

Acceleration

Velocity

Density

Angle

When a conductoris moved across a magnetic field:

Choose an answer

Emf induced its similar to that of a battery

Emf induced gives rise to induced current

An emf is induced across its ends

All are correct

None of these

The dimensions of viscosity are:

Choose an answer

M²L^-1T^-2

M^-1L¹T^-1

M^-1L^-1T

ML^-1T^-1

The ratio of linear stress/linear strain is called as

Choose an answer

Yong's modulus

Bulk modulus

Shear modulus

Modulus

X-rays can penetrate in a solid matte through a distance of several:

Choose an answer

Kilo metres

Metres

Centimeters

A few angstroms

One micrometer

Radium was discovered by:

Choose an answer

Becquerel

Marie curie

Pierre curie

Rutherford

Both (B) and (C)

In magnet-coil experiment, emf can be produced by:

Choose an answer

Keeping the coil stationary and moving the magnet

Keeping the magnet stationary and moving the coil

Relative motion of the loop and magnet

Any one of above

All above

Surface tension of water is due to

Choose an answer

Inter molecular attractions

Inter molecular spaces

Inter molecular repulsion

None of above

Which of the following phenomenon proves the particle nature of light

Choose an answer

interference

diffraction

photoelectric effect

none of these

The most abundant isotope of neon is

Choose an answer

neon-20

neon-21

neon-22

neon-23

A shunt resistance parallel to the galvanometer is used to convert it into

Choose an answer

avometer

millimeter

voltmeter

none of these

The waveform of alternating voltage is a:

Choose an answer

Square

Rectangular

Saw-tooth

Sinusoidal

None of these

The capacity of a parallel plat capacitor depends on the

Choose an answer

Type to metal used

Thickness of plates

Potential applied across the plates

Separation between the plates

From sand, we get a material used for construction with the motion of bodies under the action of forces is called:

Choose an answer

Optics

Mechanics

Thermodynamics

Astrophysics

The Einstein's changes in length, mass and time are not observed in common life because

Choose an answer

We dont observer then seriously

The masses are too large

Their speed is too small than the speed of right

All of the above

Balmer series was identified in:

Choose an answer

1685

1785

1885

1985

1585

A body moving along the circumference of a circle of radius R completes one revolution. The radius of a covered path to the angle subtended at the centre is:

Choose an answer

Radius of the circle

Twice the radius

Thrice the radius

None of these