A longitudinal sound wave given by `p = 2.5 sin.(pi)/(2) (x - 600 t)` (`p` is in `N//m^(2)` , x is in metal and `t` is in second) is sent down a closed a orgain pipe. If the pipe vibrates in its second overtone, the length of the pipe is

Options

A. `6 m`
B. `8 m`
C. `5 m`
D. `10 m`

Answer

C

Explanation

`lambda = (2 pi) / (k) = (2pi) / (pi//2) = 4 cm`

`l = (5lambda)/ (4) = 5 cm`