1

Which of the following is not an example of a force?

A

Tension

B

Weight

C

Friction

D

Mass

CORRECT OPTION:
d

2

A body moves along a circular path with uniform angular speed of 0.6 rad s^{-1} and at a constant speed of 3.0ms^{-1}. Calculate the acceleration of the body towards the centre of the circle.

A

25.0ms^{-2}

B

5.4 ms^{-2}

C

5.0ms^{-2}

D

1.8 ms^{-2}

CORRECT OPTION:
d

A = wv = 0.6 x 3.0 = 1.8m^{-2}

3

Which of the following is a derived unit?

A

Ampere

B

Kilogramme

C

Second

D

Ohm

CORRECT OPTION:
d

4

A body timed 20 oscillations of a certain pendulum three times and obtained 44.3s, 45.5s and 45.7s respectively. Calculate the mean period of oscillation of the pendulum

A

0.13s

B

2.22s

C

2.26s

D

44.30s

CORRECT OPTION:
c

5

A body of mass M1 moving with a velocity U collides with a stationary body of mass M2 and both move with a common velocity V lf linear momentum is conserved, which of the following expressions correctly represents V?

A

M_{1} U/M_{1} + M_{2}

B

M_{2} U/M_{1} + M_{2}

C

M_{1} + M_{2}/M_{1} U

D

M_{1} - M_{2}/M_{1} U

CORRECT OPTION:
a

M_{1}U + M_{2} x 0 = (M_{1} + M_{2})v

V =

M_{1} U/M_{1} + M_{2}

6

A body of mass m = 0.5 kg is suspended by a string and pulled by a horizontal force of 1g N as shown in the 12N diagram: Calculate the tension T in the String if the body is in equilibrium. [Take g as 10ms^{-1}]

A

7.0

B

10.9

C

12.5

D

13.0

CORRECT OPTION:
d

Mg = 5N

T^{2} = 5^{2} + 12^{2}T = 13N

T

7

A particle starts from rest and moves with a constant acceleration of 0.5 ms^{-2}? Calculate the time taken by the particle to cover a distance of 25m.

A

25s

B

7.1s

C

10.0s

D

50.0s

CORRECT OPTION:
c

S = ut + ^{1}/_{2}at^{2}

25 = 0 +^{1}/_{2} x 0.5t^{2}

T = 10s

25 = 0 +

T = 10s

8

A block of material of volume 2 X 1O^{-5}m^{3} and density 2.5 x 10^{-3} kgm^{-3} is suspended from a spring balance with half volume of the block immersed in water. What is the reading of the spring balance? (Density of water =1.0x10^{3} kg m^{-3} g = 10 ms^{-2}).

A

0.10N

B

0.25N

C

0.30N

D

0.40N

CORRECT OPTION:
d

Weight of object = mg = pvg = 2.5 x 10^{3} x 2 x 10^{-5} x 10 = 0.5N; Upthrust = weight of displaced fluid = pvg water

= 1.0 x 10^{3} x

2 x 10^{-5}/2 x 10 = 0.1N

∴Reading = 0.5 – 0.1 = 0.4N

∴Reading = 0.5 – 0.1 = 0.4N

9

An object is projected with a velocity of 100 ms^{-1} from the ground level at an angle 0 to the vertical. If the total time of flight of the projectile is 10 s, calculate θ. (g = 10 ms^{-2}).

A

0^{o}

B

30^{o}

C

45^{o}

D

60^{o}

CORRECT OPTION:
b

T =

2u sinθ/g

sinθ =

Tg/2u =

10 x 10/2 x 100 = 0.5

,θ = sin^{-1}0.5 = 30^{o}

,θ = sin

10

How far will a body move in 4 seconds if uniformly accelerated from rest at the rate of 2 ms^{-2}?

A

32m

B

24m

C

16m

D

1.2m

CORRECT OPTION:
c

S = vt + ^{1}/_{2} at^{2} = 0 + ^{1}/_{2} x 2 x 4^{2} = 16m

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