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A pipe of length 85cm is closed from one...

A pipe of length `85cm` is closed from one end. Find the number of possible natural oscillations of air column in the pipe whose frequencies lie below `1250 Hz`. The velocity of sound in air is `34m//s`.

A

12

B

8

C

6

D

4

Text Solution

Verified by Experts

The correct Answer is:
C

`f_("closed")=((2n-1)v)/(4l)`
`implies ((2n-1)v)/(4l)le1250implies((2n-1)xx340)/(4xx0.85)le1250`
`implies 2n-1=(1250xx4xx0.85)/(340)`
`implies nle6.025 implies n~~6` (nearest smallest integer).
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