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An air column, closed at one end and ope...

An air column, closed at one end and open at the other end, resonates with a tuning fork of frequency `f` when its length is `45 cm, 99 cm` and at two other lengths in between these values. The wavelength of sound in the air column is

A

`180 cm`

B

`108 cm`

C

`54 cm`

D

`36 cm`

Text Solution

Verified by Experts

The correct Answer is:
D
Resonance will occur at lengths
`(lambda)/(4) , (3lambda)/(4) , (5lambda)/(4) , (7lambda)/(4)` ,…
`(7lambda)/(4) - (lambda)/(4) = 99 - 45`
`(3lambda)/(2) = 54 rArr lambda = 36 cm`
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