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Physics · JEE | KINETIC THEORY

हिन्दी

An ideal gas is enclosed in a rigid container at an absolute temperature \( T_0 \). If the temperature of the gas is increased to \( 4T_0 \), the root mean square (rms) speed of the gas molecules increases by a factor of:

  1. A
    1
  2. B
    4
  3. C
    3
  4. D
    2
View Answer & Solution

Correct answer · Option D

2

Explanation

The root mean square speed is given by \( v_{\text{rms}} = \sqrt{\frac{3k_BT}{m}} \), which means \( v_{\text{rms}} \propto \sqrt{T} \). When temperature becomes 4 times, the rms speed increases by a factor of 2.
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