The displacement from the position of equilibrium of a point 4 cm from a source of sinusoidal oscillations is half the amplitude at the moment `t=T//6` (T is the time perios). Assume that the source was at mean position at `t=0`. The wavelength of the running wave is :

Options

A. `0.96cm`
B. `0.48cm`
C. `0.24cm`
D. `0.12cm`

Answer

B

Explanation

Equation of wave is `lamda=Asin(omegat-kx)`
`implies(A)/(2)=Asin((2pi)/(T)xx(T)/(6)-(2pi)/(lamda)xx4)`
`implies(pi)/(6)=(pi)/(3)-(2pi)/(lamda)xx4implies(2pi)/(lamda)xx4=(pi)/(6)`
`lamda=48cm`
`lamda=0.48m`