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Q.

The equation of a wave travelling on a string is y=4sin⁡π28t−x8 if x and y arc in centimetres, then velocity of wave is

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a

64 cm/s in -ve x-direction

b

32 cm/s in -ve x-direction

c

32 cm/s in +ve x-direction

d

64 cm/s in +ve x-direction

answer is D.

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Detailed Solution

y=4sin⁡4πt−π16xω=4π,k=π/16v=ωk=4ππ/16=64cm/s in positive x-direction.
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