Question

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"`

Answer 1

Correct Answer - 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.