Graph shows three waves that are separately sent 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) gt omega_(2) gt omega_(3)`
C. `omega_(2) gt omega_(1) = omega_(3)`
D. `omega_(1) = omega_(2) = omega_(3)`

Answer

A

Explanation

As `v = sqrt((T)/(mu))` is same for all, wave with maximum wavelength will have minimum angular frequency (by `v = nlambda` ). Also as `lambda_(1) = lambda_(3)` thus `omega_(1) = omega_(2)`