Q146 / 150 · MHT CET 2026 (16 April Shift 1) · Physics
The translational kinetic energy of the molecules of a gas at absolute temperature (T) can be doubled by
- Aincreasing T to 4 T
- Bincreasing T to $\sqrt{2}$ T
- Cdecreasing T to T/2
- Correct answerDincreasing T to 2T
Solution
The translational kinetic energy of the molecules of a gas is given by $E = \dfrac{3}{2} k_B T$.
Since $E \propto T$, to double the translational kinetic energy, the absolute temperature must be doubled.
Therefore, the temperature should be increased to $2T$.
Answer: increasing T to 2T
Since $E \propto T$, to double the translational kinetic energy, the absolute temperature must be doubled.
Therefore, the temperature should be increased to $2T$.
Answer: increasing T to 2T
Hence, the correct answer is option: 'D'.