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What is the correct answer?

4

A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes

A. E

B. E/2

C. 2E

D. 4E

Correct Answer :

D. 4E


Related Questions

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4

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

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4

The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

A. P = R

B. Q = R

C. P = Q

D. None of the above is correct

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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

The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity The correct answer is

A. Only (i)

B. Both (ii) and (iii)

C. Both (i) and (iii)

D. All are correct

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4

If two equal forces of magnitude P act at an angle θ, their resultant, will be

A. P cos θ/2

B. 2P sin θ/2

C. P tan θ/2

D. 2P cos θ/2

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4

In simple harmonic motion, acceleration of a particle is proportional to

A. Rate of change of velocity

B. Displacement

C. Velocity

D. Direction

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4

A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length

A. Must be decreased

B. Must be increased

C. Is not changed but weight of the bob is increased

D. Is not changed but weight of the bob is decreased

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4

If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

A. u² cos² α/2g

B. u² sin² α/2g

C. u² tan² α/2g

D. u² sin 2α/2g

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4

If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called

A. Virtual work

B. Imaginary work

C. Zero work

D. Negative work

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4

Pick up the correct statement from the following:

A. Nature plays an important role in the launch of a satellite

B. The earth's gravity reduces the speed of a satellite by 32 km per second

C. The gravitational force relents as the satellite climbs higher

D. All the above

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4

If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be

A. 2 T

B. 1/2 T

C. √2 T

D. 3 T

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4

To double the period of oscillation of a simple pendulum

A. The mass of its bob should be doubled

B. The mass of its bob should be quadrupled

C. Its length should be quadrupled

D. Its length should be doubled

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4

The motion of a bicycle wheel is

A. Translatory

B. Rotary

C. Rotary and translatory

D. Curvilinear

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4

The velocity of a moving body, is

A. A vector quantity

B. A scalar quantity

C. A constant quantity

D. None of these

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4

If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

A. 0 and 5 m/sec

B. 5 m/sec and 0

C. 5√3 m/sec and 0

D. 5 and 5√3 m/sec

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4

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

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4

If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and floor, is

A. 0.25

B. 0.50

C. 0.67

D. 0.33

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4

A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping? (i) 1.0 in from the wall (ii) 1.732 m from the wall (iii) 1.0 m above the floor (iv) 1.732 m above the floor The correct answer is

A. (i) and (iii)

B. (i) and (iv)

C. (ii) and (iii)

D. (ii) and (iv)

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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

A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?

A. 1 m × 2 m

B. 2 m × 3 m

C. 1 m × 3 m

D. Equally stable on all faces

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4

The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

A. b3h/12

B. bh3/3

C. bh3/36

D. bh3/2

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4

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

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4

In a simple harmonic motion, the position of equilibrium is always

A. Stable

B. Unstable

C. Neutral

D. None of the above

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4

According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on

A. A point

B. A straight line

C. Two straight lines

D. A triangle

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4

If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A. A

B. A/2

C. A/√2

D. A√2

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4

A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

A. 5 sec

B. 8 sec

C. 10 sec

D. 20 sec

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4

If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is

A. Zero

B. Maximum

C. Minimum

D. None of these

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4

A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be

A. 200 tonnes at the centre

B. 500 tonnes at the centre

C. 200 tonnes at the right support

D. 200 tonnes at the left support

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4

On a mass m describing a circular path of radius r, the centrifugal force

A. Acts tangentially to the circular path

B. Acts towards the centre of rotation

C. Acts away from the centre of rotation

D. Is mw2r/g kgf

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4

The C.G. of a right circular cone lies on its axis of symmetry at a height of

A. h/2

B. h/3

C. h/4

D. h/5