MCQ
If at same temperature and pressure, the densities for two diatomic gases are respectively ${d_1}$ and ${d_2}$, then the ratio of velocities of sound in these gases will be
  • $\sqrt {\frac{{{d_2}}}{{{d_1}}}} $
  • B
    $\sqrt {\frac{{{d_1}}}{{{d_2}}}} $
  • C
    ${d_1}{d_2}$
  • D
    $\sqrt {{d_1}{d_2}} $

Answer

Correct option: A.
$\sqrt {\frac{{{d_2}}}{{{d_1}}}} $
a
(a) Speed of sound $v = \sqrt {\frac{{\gamma P}}{d}} $

==>$\frac{{{v_1}}}{{{v_2}}} = \sqrt {\frac{{{d_2}}}{{{d_1}}}} $ (constant)

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