MCQ
The pitch of an organ pipe is highest when the pipe is filled with
  • A
    Air
  • Hydrogen
  • C
    Oxygen
  • D
    Carbon dioxide

Answer

Correct option: B.
Hydrogen
b
(b)

$v=f \lambda$

$=\lambda \text { is constant for an organ pipe }$

$v=\sqrt{\frac{\gamma R T}{M}}$

$v=\frac{1}{\sqrt{M}}$

$v$ is maximum when $M$ is least. Thus, velocity of sound in air is maximum when $M$ is least.

Since $f \propto v$ so $f \propto \frac{1}{\sqrt{M}}$

Hence, frequency is maximum when $M$ is least.

Hence, among options answer is $H _2$.

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