# Practice Test: Question Set - 22

**1. Power developed by a torque, is**

- (A) 2

*πNT*kg m/min

- (B) 2

*πNT*/4500 h.p

- (C) 2

*πNT*/60 watts

- (D) All the
above

**2. The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is**

- (A) 98 m

- (B) 490 m

- (C) 980 m

- (D) 1960 m

**3. Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of**

- (A) One-half of
the total height above base

- (B) One-third of
the total height above base

- (C) One-fourth
of the total height above base

- (D) None of
these

**4. The resolved part of the resultant of two forces inclined at an angle θ in a given direction is**

- (A) Algebraic
sum of the resolved parts of the forces in the direction

- (B) Arithmetical
sum of the resolved parts of the forces in the direction

- (C) Difference
of the forces multiplied by cosine θ°

- (D) Sum of the
forces multiplied by the tangent θ°

**5. Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is**

- (A) 2/3

- (B) 1/5

- (C) 3/5

- (D) 1/3

**6. Equation of motion of a point in a straight line, is**

- (A)

*v*=

*u*+

*ft*

- (B)

*S*=

*ut*+ ½

*ft*

^{2}

- (C) 2

*fS*=

*v*

^{2}-

*u*

^{2}

- (D) All the
above

**7. The unit of impulse, is**

- (A) kg.m/sec

- (B) kg.m/sec

- (C) kg.m/sec

^{2}

- (D) kg.m/sec

**8. The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is**

- (A) 437.5 cm

^{4}

- (B) 337.5 cm

^{4}

- (C) 237.5 cm

^{4}

- (D) 137.5 cm

^{4}

**9. On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts**

- (A) Downwards at
its upper end

- (B) Upwards at
its upper end

- (C) Perpendicular
to the wall at its upper end

- (D) Zero at its
upper end

**10. A Seconds pendulum executes**

- (A) 0.5 beat per
second

- (B) 1.0 beat per
second

- (C) 2.0 beats
per second

- (D) 2.5 beats
per second

**11. 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 mechanical advantage of the lifting machine is**

- (A) 15

- (B) 18

- (C) 20

- (D) 26

**12. Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,**

- (A) Dip of the
cable increases

- (B) Length of
the cable increases

- (C) Dip of the
cable decreases

- (D) None of
these

**13. If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is**

- (A) 2π √(α/θ)

- (B) (1/2π)
√(α/θ)

- (C) 4π √(α/θ)

- (D) 2π √(α - θ)

**14. The acceleration of a train starting from rest at any instant is 1/6(**

*V*+ 1) m/sec² where ‘*V’*is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of- (A) 2000 m

- (B) 2100 m

- (C) 2200 m

- (D) 2300 m

**15. A satellite goes on moving along its orbit round the earth due to**

- (A) Gravitational
force

- (B) Centrifugal
force

- (C) Centripetal
force

- (D) None of
these

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