STANDARD Physics Root Mean Square Velocity MCQ Question
For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be
80√5 m/s
100√5 m/s
80 m/s
100 m/s
Correct Answer
Detailed Explanation
The rms speed is proportional to the square root of temperature. Using T₁ = 127°C = 400 K and T₂ = 227°C = 500 K, the new speed is v_2 = v_1 × √(T₂/T₁) = 100√5 m/s.
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