# Practice Test: Question Set - 19

**1. Pick up the incorrect statement from the following. In a simple harmonic motion**

- (A) Velocity is
maximum at its mean position

- (B) Velocity is
minimum at the end of the stroke

- (C) Acceleration
is minimum at the end of the stroke

- (D) Acceleration
is zero at the mean position

**2. The motion of a particle is described by the relation**

*x*=*t*^{2}- 10*t*+ 30, where*x*is in meters and*t*in seconds. The total distance travelled by the particle from*t*= 0 to*t*= 10 seconds would be- (A) Zero

- (B) 30 m

- (C) 50 m

- (D) 60 m

**3. Minimum potential energy of a system will be in the position of**

- (A) Stable equilibrium

- (B) Unstable equilibrium

- (C) Neutral equilibrium

- (D) All of the above

**4. The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane**

- (A) To be zero

- (B) To
be maximum

- (C) To
be minimum

- (D) None of
these

**5. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is**

- (A) α = π/4
- β/2

- (B) α = π/2
+ β/2

- (C) α = β/2
- π/2

- (D) α = π/4
- β/2

**6. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)**

- (A) 1/4

- (B) 1/3

- (C) 1/2

- (D) 1/5

**7. The units of inertia of mass are**

- (A) kg/m

- (B) kg/m

^{2}

- (C) m

^{4}

- (D) kg-m

^{2}

**8. ‘**

*μ*’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is- (A)

*μ*

- (B) 2

*μ*

- (C) 3

*μ*

- (D) ½

*μ*

**9. A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is**

- (A) 0.5 m

- (B) 0.75 m

- (C) 1.0 m

- (D) 1.5 m

**10. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on**

- (A) A point

- (B) A straight
line

- (C) Two straight
lines

- (D) A triangle

**11. Effect of a force on a body depends upon its**

- (A) Direction

- (B) Magnitude

- (C) Position

- (D) All the
above

**12. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is**

- (A) 64 J

- (B) 400 J

- (C) 464 J

- (D) 89 J

**13. A train weighing 196 tonnes experiences a frictional resistance of 5**

^{11}/_{22}per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is- (A) 5
√10 m/sec

- (B) 10
√5 m/sec

- (C) 5
√3 m/sec

- (D) 3
√5 m/sec

**14. The velocity of a moving body, is**

- (A) A vector
quantity

- (B) A scalar
quantity

- (C) A scalar as
well as a vector quantity

- (D) None of
these

**15. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by**

- (A) 1 : 2

- (B) 1 : 1

- (C) 2 : 1

- (D) 3 : 1

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