Sound WavesHard

Question

A transverse wave passes through a string with the equation : y = 10sin π(0.02x - 2.00t) where x is in matre and t in second. The maximum velocity of the particle in wave motion is :

Options

A.100 m/s
B.63 m/s
C.120 m/s
D.161 m/s

Solution

he equation of wave
y = 10 sin π (0.02x - 2t)
Particle velocity,
= 10 cos π (0.02x - 2t) × π × 0.2
0.63 cos π (0.02x - 2t)
Maximum value of velocity = 63 m/sec.

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