1

Which of the following phenomena causes capillary of liquids in tubes of narrow bore?

A

viscosity

B

surface tension

C

osmosis

D

brownian motion

CORRECT OPTION:
b

2

Which of the following physical quantities are derived? i. Area ii. Thrust iii. Pressure iv. Mass

A

i, ii, iii and iv

B

i, ii and iii only

C

i, ii and iv only

D

i and iii only

CORRECT OPTION:
b

3

A block of volume 3 x 10^{5}m^{3} and density 2.5 x 10^{3} kg m^{-3} is suspended from a spring balance with \(\frac{2}{3}\) of its volume immersed in a liquid of density 900 kg m^{-3}. Determine the reading of the spring balance [g = 10ms^{-2}]

A

0.18N

B

0.57N

C

0.75n

D

0.93N

CORRECT OPTION:
b

Volume immersed solid = 3 x 10^{5} x \(\frac{2}{3}\)

= 2 x 10^{5}m^{3}

Mass of liquid displaced = ev

= 2 x 10^{5} x 900 = 18 x 10^{7} kg

Upthrust = 18 x 10^{7} x 10

= 7.8 x 10^{9}N

Mass of solid = ev

= 2.5 x 10^{3} x 10^{5}

= 7.5 x 10^{8}

Weight of solid = 7.5 x 10^{8} x10 = 7.8 x 10^{9}

Reading = 0.75 - 0.18 = 0.57N

= 2 x 10

Mass of liquid displaced = ev

= 2 x 10

Upthrust = 18 x 10

= 7.8 x 10

Mass of solid = ev

= 2.5 x 10

= 7.5 x 10

Weight of solid = 7.5 x 10

Reading = 0.75 - 0.18 = 0.57N

4

A solid body will float in a liquid if its

A

density is less than that of a liquid

B

mass is equal to that of the liquid

C

density is greater than that of the liquid

D

mass is less than that of the liquid

CORRECT OPTION:
a

5

An object is said to undergo oscillatory motion when it moves

A

in an erratic manner

B

to and fro about a fixed point

C

in a circular path

D

along a continuous path from the starting point

CORRECT OPTION:
b

6

A body is rotating in a horizontal circle of radius 2.5m with an angular speed of 5 rad s^{-1}. Calculate the magnitude of the radial acceleration of the body

A

62.50ms^{-2}

B

31.25ms^{-2}

C

12.50ms^{-2}

D

10.00ms^{-2}

CORRECT OPTION:
c

\(\alpha = \frac{W_2 - W_1}{t} = \frac{5}{1} = 5 rad\)/s^{2}

9 = \(\alpha\)r

= 5 x 2.5 = 12.50m\s^{2}

9 = \(\alpha\)r

= 5 x 2.5 = 12.50m\s

7

A moving car of mass 800 kg experiences a frictional force of 200N. If it accelerates 2 ms^{-2}, calculate the magnitude of the force applied to the car

A

600N

B

1000N

C

1600N

D

1800N

CORRECT OPTION:
d

F = M + F_{F} 800 x 2 = 200

= 1800N

= 1800N

8

Uniform speed occurs when there is equal change of

A

distance in equal times

B

displacement in equal times

C

velocity in equal times

D

acceleration in equal times

CORRECT OPTION:
a

9

A car accelerates uniformly from rest at 5 ms^{-2}. Determine its speed after 10s

A

50.0ms^{-1}

B

25.0ms^{-1}

C

2.0ms^{-1}

D

0.5ms^{-1}

CORRECT OPTION:
a

V = u + at = 0 + 5 x 10 = 50m/s^{2}

10

Which of the following quantities is a vector?

A

speed

B

distance

C

energy

D

momentum

CORRECT OPTION:
d

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