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There are 26 tuning forks arranged in th...

There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork ?

A

100 Hz

B

99 Hz

C

96 Hz

D

103 Hz

Text Solution

Verified by Experts

The correct Answer is:
A
Let the frequency of first tuning fork be `upsilon`. The frequencies of other tuning forks are
`(upsilon-3),(upsilon-2xx3),…,(upsilon-17xx3),….,(upsilon-25xx3)`.
As per given condition, `upsilon=2(upsilon-25xx3)`
or `upsilon=25xx6=150Hz`
The frequency of the `18^(th)` tuning fork = `upsilon-17xx3`
`=150-51=99Hz`.
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