Graph show three waves that are separately send along a string that is stretched under a certain tension along `x-`axis. If `omega_(1).omega_(2)` and `omega_(3)` are their angular frequencies respectively then :

Options

A. `omega_(1)=omega_(3) gt omega_(2)`
B. `omega_(1)gtomega_(2)gtomega_(3)`
C. `omega_(2)gtomega_(1)=omega_(3)`
D. `omega_(1)=omega_(2)=omega_(3)`

Answer

A

Explanation

(A) As `v=sqrt(T/(mu))` is same for all, wave with maximum wavelength will have minimum angular frequency (by `v=n lambda`). Also as `lambda_(1)=lambda_(2)` thus `omega_(1)=omega_(2)` hence (A)