AP EAMCET · PHYSICS · Kinetic Theory of Gases
To increase the rms speed of gas molecules by \(25 \%\), the percentage increase in absolute temperature of the gas is to be
- A \(42.75\)
- B \(56.25\)
- C \(36.75\)
- D \(18.25\)
Answer & Solution
Correct Answer
(B) \(56.25\)
Step-by-step Solution
Detailed explanation
\(v_{rms} \propto \sqrt{T}\) \(\frac{v_2}{v_1} = \sqrt{\frac{T_2}{T_1}}\) \(v_2 = 1.25v_1 \implies \frac{v_2}{v_1} = 1.25\) \(1.25 = \sqrt{\frac{T_2}{T_1}}\) \(T_2 = (1.25)^2 T_1 = 1.5625 T_1\)…
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