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MHT CET 2026 (17 Apr, Shift 1) · Speed of Waves

Speed of Waves question from MHT CET 2026 (17 Apr, Shift 1)

Q8MHT CET 2026 · 17 APR · SHIFT 1Medium

Speed of Waves

The enclosed air inside a closed box of rigid walls has pressure P1P_1. The density of air inside this box is constant. On heating the gas, the pressure of the enclosed air is increased from P1P_1 to P2P_2. Now it is observed that the sound travels 1.41.4 times faster than at pressure P1P_1. The ratio P2P_2 by P1P_1 is

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Answer: (b)

  1. v=γP/ρv = \sqrt{\gamma P/\rho} with ρ\rho constant, so v∝Pv \propto \sqrt{P}.
  2. P2P1=(1.4)2=1.96\dfrac{P_2}{P_1} = (1.4)^2 = 1.96
  3. So the answer is (b) 1.961.96.
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