NEET 2023 Phase 1 · PhysicsRMS speedPrevious Year Question

The temperature of a gas is −50 °C. To what temperature should the gas be heated so that the rms speed is increased by 3 times?

Answer: (B) 3295 °C. Correct Answer (B): 3295 °C Since v_rms ∝ √T, the temperature must be scaled by the square of the speed factor.

  1. A.669 °C
  2. B.3295 °C
  3. C.3097 K
  4. D.223 K

Correct Answer

(B) 3295 °C

Solution & Explanation

Correct Answer (B): 3295 °C Since v_rms ∝ √T, the temperature must be scaled by the square of the speed factor. "Increased by 3 times" is taken to mean the increase is 3× the original, so the final speed is 4× the initial (original + 3× original). Hence T_f/T_i = 4² = 16. With T_i = −50 °C = 223 K, T_f = 16 × 223 = 3568 K = 3295 °C, matching the official key.

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