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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64 cm/s in -ve x-direction

32 cm/s in -ve x-direction

32 cm/s in +ve x-direction

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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