Question

End correction at open end for air column in a pipe of length ‘l’ is ‘e’. For its second overtone of a closed pipe the wavelength of the wave is ______.

Options

• `(2(l + e))/3`

• `(3(l + e))/4`

• `(4(l + e))/5`

• `(5(l + e))/6`

Answer 1

End correction at open end for air column in a pipe of length ‘l’ is ‘e’. For its second overtone of a closed pipe the wavelength of the wave is `bbunderline((4(l + e))/5`.

Explanation:

The frequency for p^th overtone:

n_p = (2p + 1)n, where n = `v/(4(l + e))`

For 2^nd overtone, p = 2

∴ n₂ = 5n

`n_2 = (5v)/(4(l + e))`

`n_2 = (5(n_2λ))/(4(l + e))   ...(∵ v = n_2λ)`

`λ = (4(l + e))/5`