AP EAMCET · PHYSICS · Kinetic Theory of Gases
The respective speeds of the five molecules are 1,2,3,4 and \(5 \mathrm{kms}^{-1}\). Then, the ratio of their rms velocity and the average velocity will be
- A \(\sqrt{11}: 3\)
- B \(3: \sqrt{11}\)
- C \(1: 2\)
- D \(3: 4\)
Answer & Solution
Correct Answer
(A) \(\sqrt{11}: 3\)
Step-by-step Solution
Detailed explanation
Given, speed of five molecules be \(v_1, v_2, v_3, v_4\) and \(v_5=1,2,3,4\) and \(5 \mathrm{kms}^{-1}\) Since, root mean square speed, \[ v_{\mathrm{rms}}=\sqrt{\frac{v_1^2+v_2^2+v_3^2+v_4^2+v_5^2}{5}} \] and average speed, \[ v_{\mathrm{av}}=\frac{v_1+v_2+v_3+v_4+v_5}{5} \] On…
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