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Waves

Question
CBSEENPH11026244

A closed organ pipe of length 20 cm is sounded with tuning fork in resonance. What is frequency of tuning fork? (v = 332 m/s)

  • 300 Hz

  • 350 Hz

  • 375 Hz

  • 415 Hz

Solution

D.

415 Hz

If we adjust the length of air-column in closed organ pipe as such its any natural frequency equals to the frequency of tuning fork, then the amplitude of forced vibrations of air-column increases very much. This is the state of resonance.

At first resonance

              l  =λ4

So, frequency of tuning fork

            f = vλ

            f = v4 l

   

Given, l = 20 cm = 0.2 m

          v = 332 m/s

Hence

          f = 0.3324 × 0.2

         f = 415 Hz