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MHT CET202310 May 2023Morning ShiftPhysicsWaves and SoundActual

In case of a stationary wave pattern which of the following statement is CORRECT?

Options

  1. AThe distance between the consecutive nodes is equal to the wavelength.
  2. BIn a pipe at both ends only even harmonics are present in an air column.
  3. CIn a pipe closed at one end, all harmonics are present in an air column.
  4. DIn case of a stretched string when vibrated, frequency of first overtone is same as second harmonic.

Correct answer

D. In case of a stretched string when vibrated, frequency of first overtone is same as second harmonic.

Step-by-step solution

Frequency of first harmonic = n = v = 1 2 l T m Frequency of second harmonic =2 n = 1 l T m .... (i) For the first overtone, =l Frequency of first overtone n ₁= 1 l T m .... (ii) Comparing (i) and (ii), n ₁=2 n

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