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The equetion of a wave travelling on a s...

The equetion of a wave travelling on a string is
`y pi 4 sin(pi)/(2)(8t-(x)/(8))`
if x and y are in centimetres, then velocity of waves is

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"`

Text Solution

Verified by Experts

The correct Answer is:
d
`y=4 sin(4pit-(pi)/(16)x)`
`omega=4pi,k=pi//16`
`v=(omega)/(k)=(4pi)/(pi//16)=64cm//s`
in positive `x-`direction.
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