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A piece of cork is foating on water in a...

A piece of cork is foating on water in a small tank. The cork oscillates up and doen vertically when small ripples pass over the surface of water. The velocity of the ripples being `0.21ms^(-1)`, wavelength 15mm and amplitude 5mm, the maximum velocity of hte piece of cork is

A

`0.44 ms^(-1)`

B

`0.24 ms^(-1)`

C

`2.4 ms^(-1)`

D

`4.4 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`n = (V)/(lambda) - (.21)/(15 xx 10^(-3)) = (210)/(15)`
`V_(max) = Aomega = 5 xx 10^(-3) xx (210)/(15) xx 2pi`
`= 70 xx 2 xx (22)/(7) xx 10^(-3) = .44m//sec`.
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RESONANCE ENGLISH-SOUND WAVES-Exercise- 1 PART - II
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