The pitch of an organ pipe is highest when th | vedclass

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(B) The frequency $f$ of an organ pipe is given by $f = \frac{v}{\lambda}$, where $v$ is the speed of sound and $\lambda$ is the wavelength determined

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Hydrogen

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(B) The frequency $f$ of an organ pipe is given by $f = \frac{v}{\lambda}$, where $v$ is the speed of sound and $\lambda$ is the wavelength determined by the pipe's length.For a given pipe, $\lambda$ is constant.The speed of sound in a gas is given by $v = \sqrt{\frac{\gamma R T}{M}}$, where $M$ is the molar mass of the gas.From this relation, $v \propto \frac{1}{\sqrt{M}}$.Since $f \propto v$, it follows that $f \propto \frac{1}{\sqrt{M}}$.To have the highest pitch (frequency), the molar mass $M$ must be the minimum.Comparing the molar masses: Air $(\approx 29 	ext{ g/mol})$, Hydrogen $(2 	ext{ g/mol})$, Oxygen $(32 	ext{ g/mol})$, and Carbon dioxide $(44 	ext{ g/mol})$.Since Hydrogen has the lowest molar mass, the frequency is highest when the pipe is filled with Hydrogen.

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

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