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Wave Motion> Frequencies of tuning fork A and B are 25...

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Frequencies of tuning fork A and B are 258Hz and 262Hz respectively. When A is sounded with a tuning fork `X` of unknown frequency, a beat is produced which is half of the value when B is sounded with X. Unknown frequency is

Ritesh sose , 8 Years ago

Grade 11

2 Answers

Saurabh Koranglekar

Last Activity: 5 Years ago

Dear student

Find the solution to similar question

Arun

Last Activity: 5 Years ago

Here, υA=258Hz,υB=262Hz
Let the frequency of unknown turning fork be υ.
It produces υb beats with A and 2υb with B. Therefore,
υA−υ=υb ......(i)
and υB−υ=2υb ......(ii)
Subtract (i) from (ii), we get
υB−υA=υb
Substituting the giving values, we get
262−258=υb
υb=4Hz
From (i), υ=υA−υb=(258−4)Hz=254Hz

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