Student Login

Home›Chapters›Kinetic Theory of Gases PYQs›Molecular Speeds & Maxwell Distribution›Question 51

MHT CET 2022 (11 Aug, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2022 (11 Aug, Shift 2)

Q51MHT CET 2022 · 11 AUG · SHIFT 2Medium

Molecular Speeds & Maxwell Distribution

Two monatomic ideal gases A and B of molecular masses ' $m_1$ ' and ' $m_2$ ' respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas A to that in gas B is given by

Show answer and solution

Answer: (a)

$v = \sqrt{\frac{\gamma RT}{M}}$ ; both monatomic, so same $\gamma = \frac{5}{3}$ and same $T$ .
$v \propto \frac{1}{\sqrt M} \Rightarrow \frac{v_A}{v_B} = \sqrt{\frac{m_2}{m_1}}$
So the answer is (a) $\sqrt{\frac{m_2}{m_1}}$ .

Report a mistake

More questions on Molecular Speeds & Maxwell Distribution

The root mean square speed of smoke particles of mass 5 × 10⁻¹⁷ kg in their Brownian…JEE Main 2022 (29 Jul, Shift 2)
Given below are two statements: Statement I: The average momentum of a molecule in a…JEE Main 2022 (28 Jul, Shift 1)
Same gas is filled in two vessels of the same volume at the same temperature. If the…JEE Main 2022 (27 Jul, Shift 1)
What will be the effect on the root mean square velocity of oxygen molecules if the…JEE Main 2022 (28 Jun, Shift 2)
The relation between root mean square speed (vrms) and most probable speed (vp) for the…JEE Main 2022 (25 Jun, Shift 1)
0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127 ° C. The amount of…JEE Main 2022 (24 Jun, Shift 1)
A vessel contains 14 g of nitrogen gas at a temperature of 27. The amount of heat to be…JEE Main 2022 (28 Jul, Shift 2)
Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed…JEE Main 2022 (25 Jul, Shift 2)