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Question

Question: A small piece of cork in a ripple tank oscillates up and down as ripples pass it. If the ripples tra...

A small piece of cork in a ripple tank oscillates up and down as ripples pass it. If the ripples travelling at 0.3 m/s have a wavelength of 1.5 p cm and the cork vibrates with an amplitude of 5 mm, the maximum velocity of the cork is –

A

20 cm/sec

B

20 m/sec

C

0.02 m/sec

D

200 cm/sec

Answer

20 cm/sec

Explanation

Solution

Maximum velocity of the cork

= wA = 2pnA = 2p(vλ)\left( \frac{v}{\lambda} \right)A

= 2p ×0.3×1001.5π\frac{0.3 \times 100}{1.5\pi} × 0.5 = 20 cm/sec