Neglecting and correction , the frequency of Ist overtone of the air column in a pipe of length 25 cm closed at one end (v = 350 m/s in air ) is

Options

A. 1050 Hz
B. 350 Hz
C. 525 Hz
D. 700 Hz

Answer

A

Explanation

We know that ` n = ( v) /( 4l ) `
` rArr v = 4nl `
Given that ` v = 350 m// s `
` l = 25 cm = 0.25 cm `
So, ` 350 = 4n xx 0.25 m `
or ` n = ( 350 ) /( 4xx 0.25) = 350 ` Hz
` therefore n _ 1 = 3n = 3xx 350 `
= 1050 Hz