Question

A place of cork is floating on water in a small tank. The cork oscillates up and down vertically when small ripples pass over the surface of water. The velocity of the ripples being `0.21 ms^(-1)`, wave length `15 mm`, and amplitude `5 mm`, the maximum velocity of the piece of cork is `(pi = (22)/(7))`

A. `0.44 ms^(-1)`
B. `0.24 ms^(-1)`
C. `2.4 ms^(-1)`
D. `4.4 ms^(-1)`

Answer 1

Correct Answer - 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`.