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

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

A

4

B

12

C

8

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
In fundamental mode
`(lambda)/(4) = 0.85 `
`lambda = 4 xx 0.85 `
f = v/`lambda = (340)/(4 xx 0.85) = 100` Hz.
`therefore` Possible frequency = 100 Hz, 300 Hz, 500 Hz, 700Hz, 900 Hz, 1100 Hz below 1250 Hz.
thus number of possible natural oscillations whose frequency is below 1250 is 6.
So, correct choice is d.
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