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When temperature of air is 20^(@)C a tun...

When temperature of air is `20^(@)C` a tuning fork sounded over the open end of an air column produces 4 beats per second, the tuning fork given a lower note. If the frequency of tuning fork is 34 Hz, then find how many beats will be produced by the tuning fork if temperature falls to `5^(@)C`?

A

2 beat/s

B

4 beat/s

C

1 beat/s

D

3 beat/s

Text Solution

Verified by Experts

The correct Answer is:
D
Let beat produced at `5^(@)C=b` Frequency of air column at `20^(@)C=34+4` Frequency of air column at `5^(@)C=34+b` Ratio of velocity of sound at temperature `20^(@)C` and `5^(@)C`
`(v_(20^(@)))/(v_(5^(@)))=sqrt(((273+20)/(273+5))) rArr(34+4)/(34+b)=sqrt(((293)/(278)))`
`" "b=3bat//s`
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