Question:

Two tuning forks A and B produce 4 beats/sec. Forks B and C produce 5 beats/sec. Forks A and C may produce ??. beats/sec

Updated On: May 19, 2022
  • 2
  • 5
  • 9
  • 20
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The Correct Option is C

Solution and Explanation

We consider two possible cases about tuning forks $A, B$ and $C $
Case I When $A$ and $B$ are tuned, four beats are produced. When $B$ and $C$ are tuned, five beats are produced.
So, there is a difference of 1

$\left|n_{A}-n_{C}\right|=1$
Case II When $A$ and $C$ are tuned, the total number of beat produced.

$\left|n_{C}-n_{A}\right|=4+5=9$
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Concepts Used:

Beats

What is Beat Frequency?

Let’s see from fig.m, the frequency of a pink-colored wave is f1, and that of a green-colored wave is f2. So, the frequency of the beat is the difference between these two, which is:

                               fBEATS  = |f1 - f2|

Interference and Beats

When two or more waves travelling in a medium meet, the resulting phenomenon is called interference and beats are an excellent example of the phenomenon of interference. 

What is Interference?

When two or more waves travelling in a medium meet, the resulting phenomenon is called interference and beats are an excellent example of the phenomenon of interference.

The Application of Beats:

  • Beats are used in determining the unknown frequency
  • Beats are used in determining the existence of poisonous gases in mines.