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Wire having tension 225 N produces six b...

Wire having tension 225 N produces six beats per second when it is tuned with a fork. When tension changes to 256 N, it is tuned with the same fork, the number of beats remain unchanged. The frequency of the fork will be

A

186 Hz

B

225 Hz

C

256 Hz

D

280 Hz

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(1)=225N,T_(2)=256N`
`n_(2)-n=6" "n_(2)gtngtn_(1)`
`(n-n_(1)=6)/(n_(2)-n_(1)=12)`
`(n_(2))/(n_(1))=sqrt((T_(2))/(T_(1)))=sqrt((256)/(225))=(16)/(25)`
`(n_(2)-n_(1))/(n_(1))=(16-15)/(15)`
`(12)/(n_(1))=(1)/(15)`
`n_(1)=180Hz " "n=n_(1)+6`
`n=180+6`
=186 Hz
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