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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 π 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

(vP)max = Aω,

= 2πn = 2π . vλ\frac{v}{\lambda} = 2π × 0.31.5π×102\frac{0.3}{1.5\pi \times 10^{- 2}}