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AP EAMCET201922 Apr 2019Morning ShiftPhysicsWaves and SoundActual

When the air column of a resonance tube is vibrated together with a tuning fork, 3 beats are heard per second, either the temperature of the air column is (51^ C ) or (16^ C ). The frequency of the tuning fork is

Options

  1. A(128 ~Hz )
  2. B(98 ~Hz )
  3. C(105 ~Hz )
  4. D(256 ~Hz )

Correct answer

C. (105 ~Hz )

Step-by-step solution

Number of beats per second when the air column of resonance tube, (n=3 ) If (n ) be the frequency of tuning fork, Then, (n T [T ) temperature (] ) ( n₁ n₂ = T₁ T₂ ) At (51^ C , T₁=273+51=324 ~K ) (n₁=n+3 ) frequency of tuning fork increase at the higher temperature At (16^ C , T₂=273+16=289 ~K ) (n₂=n-3 ) [At lower temperature, frequency of the tuning fork decreases.] ( ) From Eq. (i), ( array ll & n₁ n₂ = 324 289 n+3 n-3 = 18 17 & 18 n-54=17 n+51 18 n-17 n=54+51 n=105 ~Hz array )

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