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KCET2011PhysicsWaves and Sound

Two tuning forks A and B , produce notes of frequencies 258 ~Hz and 262 ~Hz . An unknown note sounded with A produces certain beats. When the same note is sounded with B , the beat frequency gets doubled. The unknown frequency is

Options

  1. A250 ~Hz
  2. B252 ~Hz
  3. C254 ~Hz
  4. D256 ~Hz

Correct answer

C. 254 ~Hz

Step-by-step solution

Given, n_ A =258 ~Hz , n_ B =262 ~Hz If it produces x beats with 258 and 2 x with 262 . aligned 262-(258-x) &=2 x 262-258+x &=2 x x &=4 n &=254 ~Hz aligned

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