NEET2023Physics-Kinetic Theory of Gases
NEET 2023 Physics Root Mean Square Speed MCQ Question
Type: MCQ-numerical-Medium-Class 11
The temperature of a gas is –50° C. To what temperature the gas should be heated so that the rms speed is increased by 3 times?
A
3295° C
B
3097 K
C
223 K
D
669° C
Correct Answer
Option B
Detailed Explanation
The rms speed v_rms is proportional to the square root of temperature (T). If v_rms is increased by 3 times, T must increase by 9 times. Initial T = 223 K, so final T = 9 * 223 K = 2007 K, which is approximately 3097 K.
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