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

A pipe of length 85 cm is closed one end. Find the number of possible natural oscillationsof air column in the pipe whose frequencies lie below 1250 Hz. The velocity of sound in air is 340 m/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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