A tuning fork of frequency 100 Hz 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 t

Question

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

TestHub · Accepted Answer

Suppose n A is known frequency, then n A = 100 Hz , and let n B be the frequency of the other tuning fork x = 2 = Beat frequency, which is decreasing after loading (i.e. x ↓ ) Unknown tuning fork is loaded so n B decreases and also given that beat frequency is 1, so beat frequency also decreases Hence, n B > n A and n B - n A = x ⇒ n B = n A + x = 100 + 2 = 102 H z

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