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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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