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Q.

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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a

64 cm/sec in – x direction

b

32 cm/sec in – x direction

c

32 cm/sec in + x direction

d

64 cm/sec in + x direction

answer is D.

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Detailed Solution

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