STANDARD Physics Root Mean Square Speed MCQ Question
The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the rms velocity of the gas molecules is v_rms, then at 480 K, it becomes
4 v_rms
2 v_rms
v_rms/2
v_rms/4
Correct Answer
Detailed Explanation
The rms speed is proportional to the square root of temperature (v_rms ∝ √T). The ratio of the final to initial temperature is 480/120 = 4. Therefore, the new rms speed is √4 times the initial speed, which is 2 v_rms.
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