A transverse wave described by
`y=(0.02m)sin[(1.0m^-1)x+(30s^-1)t]`
propagates on a stretched string having a linear mass density of `1.2xx10^-4 kgm^-1`. Find the tension in the string.

Explanation

Wave equation is `y=0.02sin(x+30t)`
Equating with equation of wave `y=asin.(2pi)/(lambda)(vt+x)`, we get
Velocity of wave `v=30m//s`
Let the tension in the string be .T.

Velocity of wave in strecthed string.
`v=sqrt((T)/(m))impliesT=v^(2)m=(30)^(2).1.2xx10^(-4)kg//m`, `T=0.108N`