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  4. A travelling wave has the frequency v and the particle displacement amplitude A. For the wave the particle velocity amplitude is ...... and the particle acceleration amplitude is ..........

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Q. A travelling wave has the frequency v and the particle
displacement amplitude A. For the wave the particle
velocity amplitude is ...... and the particle acceleration
amplitude is ..........

IIT JEEIIT JEE 1983Waves

Solution:

(a) Particle velocity amplitude means maximum speed
$ =\omega A=2 \pi vA $
(b) Particle acceleration amplitude
$ =\omega^2 A=4 \pi ^2v^2A $