1.

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 HzB. 99 HzC. 96 HzD. 103 Hz

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


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