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An open organ pipe containing air resona...

An open organ pipe containing air resonates in fundamental mode due to a turning fork.The measured values of length l (in cm) of the pipe and radius r (in cm) of the pipe are `lambda=94+-0.1, r=5+-0.05`.The velocity of the sound in air is accurately known.The maximum percentage error in the measurement of the frequency of that tuning fork by this experiment, will be

A

`0.16`

B

`0.64`

C

`1.2`

D

`1.6`

Text Solution

Verified by Experts

The correct Answer is:
A
`f=v/(2(l+2xx0.6r))=v/(2(l+1/2r)`
`:.(/_\f)/f=(/_\v)/v=(/_\(l+1.2r))/((l+1.2r))`
Here `(/_\v)/v=0`
`(/_\f)/fxx100=-((/_\l+1.2/_\r))/((l+1.2r))xx100`
`=0.16`
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