Physics
Oscillation
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#193 A particle is executing SHM with amplitude A and time period T. The minimum time taken by the particle to travel half the amplitude from the mean position is
A) \(T/8\)
B) \(T/12\)
C) \(T/6\)
D) \(T/4\)
#194 The potential energy of a particle executing SHM varies sinusoidally with frequency f. The frequency of oscillation of the particle is
A) \(f/2\)
B) \(f\)
C) \(2f\)
D) \(4f\)
#195 A body of mass 0.5 kg is executing SHM with amplitude 1 m and time period 2 s. The maximum force acting on the body is
A) 0.5 N
B) 1.0 N
C) 2.0 N
D) 4.93 N
#196 A simple pendulum has a time period T. The pendulum is completely immersed in a non-viscous liquid whose density is 1/10th of the material of the bob. The new time period is
A) T
B) \(\frac{9}{10} T\)
C) \(\frac{10}{9} T\)
D) \(\frac{11}{10} T\)
#197 The displacement of a particle in SHM is given by \(x=5 \sin (2t + \phi)\). If the initial displacement is 2.5 cm and initial velocity is \(5 \sqrt{3}\) cm/sec, the phase angle \(\phi\) is
A) \(\pi/6\)
B) \(\pi/3\)
C) \(\pi/2\)
D) 2\(\pi/3\)
#198 A particle is executing SHM along a straight line with time period T and amplitude A. The average speed of the particle over a time interval of T/4 is
A) \(\frac{2A}{T}\)
B) \(\frac{4A}{T}\)
C) \(\frac{6A}{T}\)
D) \(\frac{8A}{T}\)
#199 The acceleration of a particle executing SHM is 20 cm/sec² at a distance of 5 cm from the mean position. The time period of oscillation is
A) 1 s
B) 2 s
C) 3.14 s
D) 4 s
#200 A mass m is suspended from a spring of force constant k. The spring is cut into two equal parts and the same mass is suspended from one part. The new time period is
A) \(\frac{2 \pi m}{k}\)
B) \(\frac{2 \pi m}{2k}\)
C) \(\frac{1}{2} \pi m / k\)
D) \(\pi m / k\)
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