Question 1
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A hollow metal pipe is held vertically and bar magnet is dropped through it with its length along the axis of the pipe. The acceleration of the falling magnet is (g = acceleration due to gravity)

A
equal to g.

B
less than g.

C
more than g.

D
zero

Question 2
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In a simple pendulum of length I the bob is pulled aside from its equilibrium position through an angle θ and then released. The bob passes through the equilibrium position with speed

A

B

C

D

Question 3

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For a particle executing simple harmonic motion, match the following statements (conditions) from column I to statements (shapes of graph) in column II

column I		column II
a	Velocity-displacement graph (w = 1)	i	Straight line
b	Acceleration-displacement graph	ii	Sinusoidal
c	Acceleration-time graph	iii	Circle
d	Acceleration-velocity (w ≠ 1)	iv	Ellipse

a - iv, b - i, c - ii, d - iii

a - iii, b - i, c - ii, d - iv

a - iii, b - ii, c - i, d - iv

a - iv, b - ii, c - i, d - iii

Question 4

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Match the List-I with the List-II.

List-I	List-II
(i) Coefficient of viscosity	(a) M⁰L⁰T⁰
(ii) Strain	(b) M^-1L T²
(iii) Compressibility	(c) ML^-2T^-2
(iv) Pressure gradient	(d) ML^-1T^-1

(i)-(a), (ii)-(c), (iii)-(d), (iv)-(b)

(i)-(d), (ii)-(a), (iii)-(b), (iv)-(c)

(i)-(b), (ii)-(d), (iii)-(c), (iv)-(a)

(i)-(c), (ii)-(b), (iii)-(d), (iv)-(a)

Question 5
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A
Zero

B
12 Joules

C
7 Joules

D
13 Joules

Question 6
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Give below are two statements

Statement I : Area under velocity- time graph gives the distance traveled by the body in a given time.

Statement II : Area under acceleration- time graph is equal to the change in velocity- in the given time.

In the light of given statement, choose the correct answer from the options given below

A
Both Statement I and Statement II are true.

B
Statement I is correct but Statement II is false.

C
Both Statement I and and Statement II are false

D
Statement I is incorrect but Statement II is true.

Question 7
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The dimension [ML^-1 T^-2] is the physical quantity of

A
Pressure × Area

B

C
Power × Time

D
Energy density

Question 8
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Find the value of 'n' in the given equation P = ρⁿv² where 'P' is the pressure, 'ρ' density and 'v' velocity.

A

B
n = 1

C
n = 3

D
n = 2

Question 9
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We have a jar filled with gas characterized by parameters P, V, T and another jar B filled with gas having parameters where symbols have their usual meaning. The ratio of number of molecules in jar A to those in jar B is

A
1 : 1

B
1 : 2

C
2 : 1

D
4 : 1

Question 10
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A car is moving on a circular track banked at an angle of 45^∘. If the maximum permissible speed of the car to avoid slipping is twice the optimum speed of the car to avoid the wear and tear of the tyres, then the coefficient of static friction between the wheels of the car and the road is

A
0.3

B
0.5

C
0.4

D
0.6