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MHT CET202211 Aug 2022Morning ShiftPhysicsKinetic Theory of GasesActual

The temperature of an ideal gas is increased from 140 ~K to 560 ~K . If the r.m.s. speed of gas molecules is v at 140 ~K , then at 560 ~K , r.m.s. speed becomes

Options

  1. A4 v
  2. Bv 4
  3. Cv 2
  4. D2 v

Correct answer

D. 2 v

Step-by-step solution

The r.m.s. speed v is directly proportional to the square root of temperature T in kelvin. v T The new temperature is T^ =4 ~T Hence, v^ =2 v

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