Question

If at same temperature and pressure, the densities for two diatomic gases are respectively d₁ and d₂ then the ratio of velocities of sound in these gases will be ______.

Options

• `sqrt("d"_2/"d"_1)`

• `sqrt("d"_1/"d"_2)`

• d₁d₂

• `sqrt("d"_1"d"_2)`

Answer 1

If at same temperature and pressure, the densities for two diatomic gases are respectively d₁ and d₂ then the ratio of velocities of sound in these gases will be `bb(sqrt("d"_2/"d"_1))`.

Explanation:

v = `sqrt("P"^"y"/rho)` velocity of the sound in the gas

v ∝ `1/sqrtrho ⇒ "v"_1/"v"_2 = sqrt("d"_2/"d"_1)`