MHT CET · Physics · Kinetic Theory of Gases
Equal volumes of two gases, having their densities in the ratio of \(1: 16\) exert equal pressures on the walls of two containers. The ratio of their rms speeds \(\left(c_1: c_2\right)\) is
- A 1 : 4
- B 4 : 1
- C 8 : 1
- D 1 : 8
Answer & Solution
Correct Answer
(B) 4 : 1
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & P=\frac{1}{3} \rho_1 c_1^2=\frac{1}{3} \rho_2 c_2^2 \\ & \therefore \frac{c_1^2}{c_2^2}=\frac{\rho_2}{\rho_1}=16 \\ & \therefore \frac{c_1}{c_2}=4\end{aligned}\)
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