STANDARDPhysics-Kinetic Theory of Gases
STANDARD Physics Root Mean Square Speed MCQ Question
Type: MCQ-numerical-Medium-Class 11
The temperature of an ideal gas is increased from 27°C to 127°C, then percentage increase in v_rms is?
A
37%
B
11%
C
33%
D
15.5%
Correct Answer
Option D
Detailed Explanation
The rms speed is proportional to the square root of temperature (v_rms ∝ √T). The initial temperature is 300 K and the final temperature is 400 K. The percentage increase is ((√400 - √300)/√300) × 100 = 15.5%.
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