The equation of a wave travelling on a string is $$y=4sin$$$$π$$$$28t$$−$$x8$$. If x and y are in cm, then velocity of wave is

Correct option is 464 cm/sec in + x direction

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The equation of a wave travelling on a string is $y = 4 \sin \frac{π}{2} (8 t - \frac{x}{8})$ . If x and y are in cm, then velocity of wave is

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64 cm/sec in – x direction

32 cm/sec in – x direction

32 cm/sec in + x direction

64 cm/sec in + x direction

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detailed solution

Correct option is D

The given equation can be written as y=4sin 4πt−πx16⇒(v)=Co-efficient of t(ω)Co-efficient of x(K)⇒v=4ππ/16=64 cm/sec along +x direction.

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The equation of a wave travelling on a string is y=4sinπ28t−x8. If x and y are in cm, then velocity of wave is

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The equation of a wave travelling on a string is $y = 4 \sin \frac{π}{2} (8 t - \frac{x}{8})$ . If x and y are in cm, then velocity of wave is