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Q.

A travelling wave is described by the equation $y (x, t) = [0.05 \sin (8 x - 4 t)] m$ . The velocity of the wave is: [all the quantities are in SI unit]

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a

0.5 ms^-1

b

2 ms^-1

c

4 ms^-1

d

8 ms^-1

answer is C.

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Detailed Solution

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$k = 8, ω = 4$
$v = \frac{ω}{k} = \frac{4}{8} = 0.5 {ms}^{- 1}$

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A travelling wave is described by the equation y(x,t)=[0.05sin⁡(8x−4t)]m. The velocity of the wave is: [all the quantities are in SI unit]