Physics, asked by Anonymous, 23 days ago

A tuning fork of frequency 100Hz 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 100Hz produces one beat, then the frequency
of the other tuning fork is​

Answers

Answered by ALONEUKNOWCLOWN11
6

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Answered by Anonymous
8

Question:

A tuning fork of frequency 100Hz 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 100Hz produces one beat, then the frequency of the other tuning fork is.

Given:

Frequency of known tuning fork = 100Hz

In first case:

  • beats/second = 2

Let the frequency of another unknown tuning fork be  \nu_1

\sf No.~of ~beats = | \nu_1 - 100 | \\\\ \sf 2 = | \nu_1 - 100| \\\\ \sf \nu_1 = 98~or~102

Now, it's then loaded with wax,

Let the frequency of the other tuning fork after loading is  \nu_2

\sf No.~of ~beats = | \nu_2 - 100| \\\\ \sf 1 = | \nu_2 - 100| \\\\ \sf \nu_2= 99~or~101

So, here we have two possibilities for  \nu_1 and  \nu_2

Note: The purpose of loading is to decrease the frequency of the tuning fork.

Since, we know that, the frequency of tuning fork reduces after loading,  \nu_2 should be less than  \nu_1

We have  \nu_1 = 98~or~102

If we take  \nu_1 = 98 , we will end up having  \nu_2 greater than  \nu_1 i.e 99 or 101.

So, to comply with the rule, we have to take  \nu_1 = 102 , so that we get value of  \nu_2 lesser than  \nu_1 i.e 101.


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