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49.

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/V2 D. AV2



50.

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. 1:02 B. 1:01
C. 2:01 D. 3:01



51.

A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be                        
A. E B. E/2
C. 2E D. 4E




52.

Time period and length of a seconds pendulum respectively are                        
A. 1 sec and 99.4 cm B. 1 sec and 92.7 cm
C. 2 sec and 99.4 cm D. 2 sec and 92.7 cm



53.

One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x,held at rest and then released.The motion is                        
A. a simple harmonic motion B. a rectilinear motion with constant speed
C. a damped oscillatory motion D. none of the above



54.

A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is                        
A. 1.00 m/sec B. 1.57 m/sec
C. 3.14 m/sec D. 6.28 m/sec



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