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The original frequency of A is 324 Hz, what is the frequency of B?

Sujoy Das
24/02/2018 0 0

Two sitar strings A and B playing the note ‘Ga’ are slightly out of tune and produce beats of frequency 6 Hz. The tension in the string A is slightly reduced and the beat frequency is found to reduce to 3 Hz. If the original frequency of A is 324 Hz, what is the frequency ofB?

 

 

Now, if tension in the string is slightly reduced its frequency will also reduce from 324 Hz.
Now, if $f_{ B }$ =330 and $f_{ A }$ reduces, then beat frequency should increase which is not the case but if $f_{ B }$ =318 Hz and $f_{ A }$ decreases the beat frequency should decrease, which is the case and hence $f_{ B }$ =318 Hz.

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