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The frequency of B is 3% greater than th...

The frequency of `B` is `3%` greater than that of `A` . The frequency of `C is 2%` less than that of `A` . If `B and C` produce `8 beats//s`, then the frequency of `A` is

A

`136 Hz`

B

`168 Hz`

C

`164 Hz`

D

`160 Hz`

Text Solution

Verified by Experts

The correct Answer is:
D
`v_(B) = v_(A) + (3)/(100) v_(A)`
` v_(c ) = v_(A) - (2)/(100) v_(A)`
`v_(B) - v_(c ) = 8`
`(3)/(100) v_(A) + (2)/(100) v_(A) = 8`
or `v_(A) xx (5)/(100) = 8 or v_(A) = 160 Hz`
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