MHT CET 2023 Physics question

PhysicsKinetic Theory of GasesMHT CET 2023

A gas at pressure P is contained in a vessel. If the masses of all molecules are halved and their velocities are doubled, the resulting pressure would be equal to

Answer: (B)

Solution

From kinetic theory, the pressure of a gas is . The number of molecules and the volume are unchanged. The new mass is and the new velocity is , so , i.e. twice the original. Hence

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Question ID VK-097852