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4

For a simple pendulum, the period of one oscillation is

A. 2π √(l/2g)

B. 2π √(2g/l)

C. 2π √(l/g)

D. 2π √(g/2l)

Correct Answer :

C. 2π √(l/g)


Related Questions

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4

One Joule is equivalent to

A. 9.81 Newton metre

B. 1 Newton metre

C. 1 kg wt metre

D. 1 dyne metre

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4

If G is the Gauge of track, v is velocity of the moving vehicle, g is the acceleration due to gravity and r is the radius of a circular path, the required super elevation is

A. gv²/Gr

B. Gr²/gr

C. Gr²/gv²

D. Gv²/gv

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4

A flywheel of moment of inertia 20 kgm is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is

A. 1/2

B. 3/2

C. 2

D. 3

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4

The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator

A. Eastward

B. Northward

C. Westward

D. Southward

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4

The C.G. of a hemisphere from its base measured along the vertical radius is at a distance of

A. 4R/3π

B. 3R/8

C. 3πR/4

D. 8R/3

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4

u1 and u2 are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are v1 and v2. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

A. e = v1 - v2/u2 - u1

B. e = u2 - u1/v1 - v2

C. e = v2 - v1/u1 - u2

D. e = v1 - v2/u2 + u1

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4

A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

A. Less than that on BC

B. More than that of BC

C. Equal to that on BC

D. None of these

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4

The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be

A. 2

B. 3

C. 4

D. 5

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4

Newtons 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

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4

The resultant of the forces acting on a body will be zero if the body

A. Rotates

B. Moves with variable velocity in a straight line

C. Moves along a curved path

D. Does not move at all

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4

If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

A. Proportional to A

B. Proportional to A²

C. Proportional to 1/A²

D. Independent of A

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4

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

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4

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

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4

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

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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

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4

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

A. The horizontal reaction at A is 2 √3t ←

B. The horizontal reaction at C is 2 √3t →

C. The vertical reaction at A is zero

D. All the above

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4

A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

A. Zero

B. 0.5 m/sec

C. 1.0 m/sec

D. 2.0 m/sec

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4

Ball A of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after impact would be

A. Zero

B. 5 m/sec

C. 10 m/sec

D. None of these

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4

For a particle moving with a simple harmonic motion, the frequency is

A. Directly proportional to periodic time

B. Inversely proportional to periodic time

C. Inversely proportional to its angular velocity

D. Directly proportional to its angular velocity

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4

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

A. (h/3) × [(b + 2a)/(b + a)]

B. (h/3) × [(2b + a)/(b + a)]

C. (h/2) × [(b + 2a)/(b + a)]

D. (h/2) × [(2b + a)/(b + a)]

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4

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

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4

A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string is

A. 50 kg

B. 75 kg

C. 100 kg

D. 120 kg

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4

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

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4

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

A. log r

B. r

C.

D. 1/r Where r is the distance of the particle from centre of the earth

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4

When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

A. g(M1 + M2 sin α)/(M1 + M2) m/sec

B. g(M1 - M2 sin α)/(M1 + M2) m/sec²

C. g(M2 + M1 sin α)/(M1 + M2) m/sec²

D. g(M2 × M1 sin α)/(M2 - M1) m/sec²

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4

Force polygon method is applicable for

A. Any coplanar force system

B. A system of parallel forces only

C. Concurrent coplanar force system

D. Non-concurrent coplanar force system

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4

The angles between two forces to make their resultant a minimum and a maximum respectively are

A. 0° and 90°

B. 180° and 90°

C. 90° and 180°

D. 180° and 0°

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4

For a simple pendulum, the period of one oscillation is

A. 2π √(l/2g)

B. 2π √(2g/l)

C. 2π √(l/g)

D. 2π √(g/2l)

What is the correct answer?

4

The beam shown in below figure is supported by a hinge at A and a roller at B. The reaction RA of the hinged support A of the beam, is

A. 10.8 t

B. 10.6 t

C. 10.4 t

D. 10.2 t

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4

A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

A. 1/4

B. 1/3

C. 3

D. 4