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If the pressure, temperature and density of an ideal gas are denoted by \(\mathrm{P}, \mathrm{T}\) ancespectively, the velocity of sound in the gas is
(A) proportional to \(\sqrt{P}\), when \(T\) is constant.
(B) proportional to \(\sqrt{\mathrm{T}}\).
(C) proportional to \(\sqrt{P}\), when \(\rho\) is constant.
(D) proportional to \(\mathrm{T}\).

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Ans: (B, C)
$$
\mathrm{v}=\sqrt{\frac{\gamma \mathrm{RT}}{\mathrm{M}}}=\sqrt{\frac{\gamma \mathrm{P}}{\rho}}
$$
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