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What is the correct answer?

4

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

Correct Answer :

D. 3 : 1


Related Questions

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4

ω rad/sec is the angular velocity of a crank whose radius is r. If it makes θ° with inner dead centre and obliquity of the connecting rod l is , the velocity v of the piston, is given by the equation

A. ω2 (l cos + r sin tan θ)

B. ω2 (l sin + r cos φ tan θ)

C. ω (l sin + r cos tan θ)

D. ω2 (l sin - r cos θ tan )

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4

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 efficiency of the lifting machine is

A. 50 %

B. 40 %

C. 55 %

D. 30 %

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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

Pick up the incorrect statement from the following:

A. The C.G. of a circle is at its centre

B. The C.G. of a triangle is at the intersection of its medians

C. The C.G. of a rectangle is at the intersection of its diagonals

D. The C.G. of a semicircle is at a distance of r/2 from the centre

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4

The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is

A. sin θ

B. cos θ

C. tan θ

D. cosec θ

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4

A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

A. 5 N

B. 10 N

C. 15 N

D. 25 N

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4

A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be

A. 0.01 m/sec

B. 0.05 m/sec

C. 1.00 m/sec

D. 1.5 m/see

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4

The velocity ratio of the differential wheel and axle is

A. R/r1 - r2

B. 2R/r1

C. 3R/r1 - r2

D. 2R/r1 + r2

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4

From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

A. 0.25 cm

B. 0.50 cm

C. 0.75 cm

D. 1.00 cm

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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

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

A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was

A. 0.5 m/sec2

B. 0.7 m/sec2

C. 1 m/sec2

D. 1 cm/sec2

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4

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.

C.

D. ½μ

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4

A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

A. 400 watts

B. 500 watts

C. 4000 watts

D. None of these

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4

The maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known

A. Sliding friction

B. Rolling friction

C. Limiting friction

D. None of these

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4

From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

A. 4.5 cm

B. 5.0 cm

C. 5.25 cm

D. 5.5 cm

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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

A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be

A. 3t3 - 2t

B. 3t2 + 2t

C. 6t - 2

D. 6t + 2

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4

Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is

A. 350 m

B. 375 m

C. 400 m

D. 425 m

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4

If the resultant of two forces P and Q acting at an angle θ makes an angle α with P, then tan α equals

A. P sin θ/P - Q cos θ

B. Q sin θ/P + Q cos θ

C. P sin θ/P + Q tan θ

D. Q sin θ/P + Q sin θ

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4

A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses

A. Maximum kinetic energy and minimum potential energy

B. Maximum kinetic energy and maximum potential energy

C. Minimum kinetic energy and maximum potential energy

D. Minimum kinetic, energy and minimum potential energy

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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

For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is

A. 60 %

B. 65 %

C. 70 %

D. 75 %

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4

One half of a vibration of a body, is called

A. Period time

B. Oscillation

C. Beat

D. Amplitude

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4

A satellite moves in its orbit around the earth due to

A. Gravitational force

B. Centripetal force

C. Centrifugal force

D. None of these

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4

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

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4

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)

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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

The centre of gravity of a homogenous body is the point at which the whole

A. Volume of the body is assumed to be concentrated

B. Area of the surface of the body is assumed to be concentrated

C. Weight of the body is assumed to be concentrated

D. All the above

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4

The diagram showing the point of application and line of action of forces in their plane is called

A. Vector diagram

B. Space diagram

C. Force diagram

D. Funicular diagram