1

In which of the following states of matter do the molecules vibrate about their mean positions?

A

liquids only

B

solids only

C

liquids and gasses only

D

solids, liquids and gases

CORRECT OPTION:
b

2

Which of the following properties of a steel bar can be measured in terms of the dimension of length only?

A

weight

B

density

C

pressure

D

volume

CORRECT OPTION:
d

3

In a hydraulic press, a force of 40N is applied to the smaller priston of area 10cm^{2}. If the area of the larger piston is 200cm^{2}, calculate the force obtained

A

800N

B

500N

C

80N`

D

50N

CORRECT OPTION:
a

\(F_2 = \frac{F_1 \times A_2}{A_1} = \frac{40 \times 200}{10} = 800N\)

4

A body of volume 0.046m^{3} is immersed in a liquid of density 980kgm^{-3} with \(\frac{3}{4}\) of its volume submerged. Calculate the upthrust on the body. [g = 10ms^{-2}]

A

11.27N

B

33.81N

C

112.70N

D

338.10N

CORRECT OPTION:
d

M = D x V

= 980 x 0.046 x \(\frac{3}{4}\) = 33.81kg

upthrust = mg = 33.81 x 10

= 338.1N

= 980 x 0.046 x \(\frac{3}{4}\) = 33.81kg

upthrust = mg = 33.81 x 10

= 338.1N

5

Which of the following types of types of motion will be produced when a pair of equal and opposite non-collinear parallel forces acts on a body?

A

vibrational motion

B

random motion

C

translational motion

D

rotational motion

CORRECT OPTION:
d

6

A body moving in a circle at constant speed has i. a velocity tangent to the circle ii. a constant kinetic energy ii. an acceleration directed towards the circmference of the circle ii. an acceleration directed towards the circumference of the circle. Which of the statements above are correct?

A

i and ii only

B

ii and iii

C

ii and iii only

D

i and iii only

CORRECT OPTION:
a

7

A moving body accelerates when it

A

changes its direction at constant speed

B

mauntains a constant linear speed

C

covers equal distances in equal times in a straight line

D

is acted upon by balanced forces

CORRECT OPTION:
c

8

The following properties of a solid are measured on earth i. weight ii. specific heat capacity iii. density. Which of the properties will hav a different value if measured in space?

A

i only

B

ii only

C

iii only

D

ii and iii only

CORRECT OPTION:
a

9

Two forces 6N and 8N, act eastwards and northwards respectively on a body. Calculate the magnitude of their equilibrant

A

2N

B

7N

C

10N

D

14N

CORRECT OPTION:
c

R = \(\sqrt{A^2 + B^2} = \sqrt{6^2 + 8^2} = 10N\)

10

The period of a simple pendulum of length 80.0cm was found to have doubled when the length of the pendulum was increased by X. Calculate X.

A

26.7cm

B

40.0cm

C

160.0cm

D

240.0cm

CORRECT OPTION:
d

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