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  4. The pitch of an organ pipe is highest when the pipe is filled with

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Q. The pitch of an organ pipe is highest when the pipe is filled with

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Solution:

$v =f \lambda$
$=\lambda $ is constant for an organ pipe
$v =\sqrt{\frac{\gamma R T}{M}}$
$=\frac{1}{\sqrt{M}}$
$v$ 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 $H _{2}$