A small piece of cork in a ripple tank oscillates us and down as ripples pass it. If the ripples travelling at 0.3 m/s, have a wavelength of `1.5 pi` cm and the cork vibrates with an amplitude of 5mm, then the maximum velocity of the cork will be

Options

A. `20 cm sec^(-1)`
B. `20 m sec^(-1)`
C. `0.02 cm sec^(-1)`
D. `200 cm sec^(-1)`

Answer

A

Explanation

Maximum vvelocity of the cork
`=omegaA=2pinA=2pi(upsilon/lambda)A`
`=2pi xx (0.3 xx 100)/(1.5 pi) xx 0.5=20 cm`
`sec^-1`