Transverse waves pass through the strings A and B attached to an object of mass 'm' as shown. If `mu` is the linear density of each of the strings, the velocity of the transverse waves produced in the strings A and B is

Options

A. `sqrt((mg)/(mu))`
B. `sqrt((2mg)/(mu))`
C. `sqrt((sqrt(7)mg)/(2mu))`
D. `sqrt((2mg)/(sqrt(7)mu))`

Answer

D

Explanation

Let tension in each string is T
`mg=2Tsintheta` from fig `sin theta=(sqrt(7))/(4)`