COMEDK · Physics · 14. 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 velocities \(\left(\frac{c_{1}}{c_{2}}\right)\)
- A \(1: 8\)
- B \(8: 1\)
- C \(1: 4\)
- D \(4: 1\)
Answer & Solution
Correct Answer
(D) \(4: 1\)
Step-by-step Solution
Detailed explanation
Densities ratio of two gases, \[ \rho_{1}: \rho_{2}=1: 16 \] \[ \Rightarrow \quad \frac{\rho_{1}}{\rho_{2}}=\frac{1}{16} \] Since, pressure of both gases are equal. \(\therefore \quad p_{1}=p_{\mathrm{g}}\) \(\frac{1}{3} \rho_{1} c_{1}^{2}=\frac{1}{2} \rho_{2} c_{2}^{2}\)…
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