# Practice Test: Question Set - 11

**1. If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with**

- (A) A uniform
retardation

- (B) A
uniform acceleration

- (C) A
variable acceleration

- (D) A
variable retardation

**2. A number of forces acting simultaneously on a particle of a body**

- (A) May
not be replaced by a single force

- (B) May
be replaced by a single force

- (C) May
be replaced by a single force through C.G. of the body

- (D) May
be replaced by a couple

**3. A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection?**

- (A) 15°

- (B) 30°

- (C) 45°

- (D) 75°

**4. If a body is acted upon by a number of coplanar non-concurrent forces, it may**

- (A) Rotate
about itself without moving

- (B) Move
in any one direction

- (C) Move
in any one direction rotating about itself

- (D) All the above

**5. If three rigid rods are hinged together to form a triangle and are given rotary as well as translatory motion, the number of instantaneous centers of the triangle, will be**

- (A) 1

- (B) 2

- (C) 3

- (D) 4

**6. If ‘α’ and ‘**

*u’*are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is- (A)

*u² sin α*/

*g*

- (B)

*u² sin² α*/

*g*

- (C)

*u² sin α*/2

*g*

- (D)

*u² sin² α*/2

*g*

**7. The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogeneous and spherical) is proportional to**

- (A) log

*r*

- (B)

*r*

- (C)

*r*²

- (D) 1/

*r*

Where r is the distance of the particle from
centre of the earth

**8. From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of**

- (A) 2.0 cm

- (B) 1.5 cm

- (C) 1.0 cm

- (D) 0.5 cm

**9. If the gravitational acceleration at any place is doubled, the weight of a body, will**

- (A) Be reduced
to half

- (B) Be doubled

- (C) Not be
affected

- (D) None of
these

**10. A pilot flies a small plane in a vertical loop of radius ‘**

*r’*. At the top of its trajectory he experiences weightlessness. If the acceleration due to gravity is ‘*g’*, the speed of the plane at the top of its trajectory would be- (A) Zero

- (B) Infinite

- (C)

*gr*

- (D) 2

*gr*

**11. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then?**

**(i) A force is required to move the body upwards**

**(ii) A force is required to move the body downward**

**(iii) The body will not be in equilibrium**

**The correct answer is**

- (A) Only (i)

- (B) Only (ii)

- (C) Both (i) and (ii)

- (D) Both (i) and (iii)

**12. The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed**

- (A) Radially

- (B) Tangentially
at that point

- (C) Away
from the centre

- (D) Towards the
centre

**13. Work may be defined as**

- (A) Force ×
distance

- (B) Force
× velocity

- (C) Force
× acceleration

- (D) None
of these

**14. Pick up the correct statement from the following for the structure shown in below figure.**

- (A) The
horizontal reaction at

*A*is 2 √3

*t*←

- (B) The
horizontal reaction at

*C*is 2 √3

*t*→

- (C) The vertical
reaction at

*A*is zero

- (D) All the
above

**15. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan"1 x, where x is**

- (A) 3/4

- (B) 4/5

- (C) 5/3

- (D) 3/5

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