A tuning fork of frequency 100 when sounded together with another tuning fork of unknown frequency produces 2 beats per second. On loading the tuning fork whose frequency is not known and sounded together with a tuning fork of frequency 100 produces one beat, then the frequency of the other tuning fork is
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Suppose 
is known frequency, then 
, and let 
be the frequency of the other tuning fork 
Beat frequency, which is decreasing after loading (i.e. 
)
Unknown tuning fork is loaded so 
decreases and also given that beat frequency is 1 , so beat frequency also decreases
Hence, 
and 
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