MHT CET · Physics · Kinetic Theory of Gases
Equal volumes of two gases are kept in different containers having densities in the ratio \(1: 16\). They exert equal pressures on the wall of their respective containers. Then the ratio of their r.m.s. velocities is
- A 16:1
- B 1:8
- C 4:1
- D 1:12
Answer & Solution
Correct Answer
(C) 4:1
Step-by-step Solution
Detailed explanation
Pressure \(P=\frac{1}{3} \rho c^2 \therefore c=\sqrt{\frac{3 p}{\rho}}\) \(\therefore \frac{c_1}{c_2}=\sqrt{\frac{\rho_2}{\rho_1}}=\sqrt{\frac{16}{1}}=4\)
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