Q.

Equation of a progressive wave is y=2sin⁡π(x18−t10), where x and y are in cm. Then ratio of maximum particle velocity to the velocity of propagation is

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a

π:4

b

π:9

c

π:6

d

π:3

answer is B.

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Detailed Solution

Maximum particle velocity, umax⁡=ω.AVelocity of propagation, V=ωK∴ umax⁡V=ωAωK=KA=π18×2=π9
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