# Practice Test: Question Set - 13

**1. Instantaneous center is at infinity when the angular velocity is**

- (A) Constant

- (B) Zero

- (C) Maximum

- (D) Minimum

**2. When a body moves round a fixed axis, it has**

- (A) A rotary
motion

- (B) A
circular motion

- (C) A translatory

- (D) A
rotary motion and translatory motion

**3. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is**

- (A) 50 %

- (B) 40 %

- (C) 55 %

- (D) 30 %

**4. Newton’s Law of Motion is:**

- (A) Everybody
continues in its state of rest or of uniform motion in a straight line, unless
it is acted upon by some external force

- (B) The rate of
change of momentum is directly proportional to the impressed force, and takes
place in the same direction, in which the force acts

- (C) To every
action, there is always an equal and opposite reaction

- (D) All the
above

**5. Time period and length of a second’s pendulum respectively are**

- (A) 1 sec and 99.4 cm

- (B) 1 sec and 92.7 cm

- (C) 2 sec and 99.4 cm

- (D) 2 sec and 92.7 cm

**6. The frequency of oscillation on moon as compared to that on earth, will be**

- (A) 2.44 times
more

- (B) 2.44 times
less

- (C) 3 times less

- (D) 3 times more

**7. The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is**

- (A) 188.5 m/sec

- (B) 18.85 m/sec

- (C) 1.885 m/sec

- (D) 0.18845
m/sec

**8. The centre of gravity of the trapezium as shown in below figure from the side is at a distance of**

- (A) (

*h*/3) × [(

*b*+ 2

*a*)/(

*b*+

*a*)]

- (B) (

*h*/3) × [(2

*b*+

*a*)/(

*b*+

*a*)]

- (C) (

*h*/2) × [(

*b*+ 2

*a*)/(

*b*+

*a*)]

- (D) (

*h*/2) × [(2

*b*+

*a*)/(

*b*+

*a*)]

**9. Cartesian form of the equation of catenary is**

- (A)

*y*=

*c*

*cosh*

*x*/

*c*

- (B)

*y*=

*c sinh*

*x*/

*c*

- (C)

*y*=

*c tan*

*x*/

*c*

- (D)

*y*=

*c sin*

*x*/

*c*

**10. The moment of inertia of a triangular section (base**

*b*, height*h*) about centroidal axis parallel to the base, is- (A)

*b*/12

^{3}h- (B)

*bh*/3

^{3}- (C)

*bh*/36

^{3}- (D)

*bh*/2

^{3}**11. To attain the synchronous orbit, the launch of a satellite, is done from a place**

- (A) On
equator

- (B) On 30°
latitude

- (C) On 45°
latitude

- (D) On the poles

**12. Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down**

- (A) Rubber and
lead balls undergo equal changes in momentum

- (B) Change in
momentum suffered by lead ball is less that of rubber ball

- (C) Momentum
of rubber ball is less than that of lead ball

- (D) None of
these

**13. Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.**

**The speeds of the objects are:**

- (A) 2 m/sec and 2 m/sec

- (B) 3 m/sec and 2 m/sec

- (C) 3 m/sec and 3 m/sec

- (D) 4 m/sec and 6 m/sec

**14. A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was**

- (A) 0.5 m/sec

^{2}

- (B) 0.7 m/sec

^{2}

- (C) 1 m/sec

^{2}

- (D) 1 cm/sec

^{2}

**15. The product of mass and velocity of a moving a body, is called**

- (A) Moment

- (B) Momentum

- (C) Power

- (D) Impulse

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