MHT CET202618 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual
When the r.m.s. velocity of a gas is denoted by ' v ' at temperature ' T '. Out of the following relations, the true one is
Options
- Av T^2 = constant
- Bv T^2 = constant
- Cv^2 T = constant
- Dv^2 T = constant
Correct answer
D. v^2 T = constant
Step-by-step solution
The root mean square (r.m.s.) velocity of a gas is given by the expression: v = 3RT M Squaring both sides, we get: v^2 = 3RT M For a given gas, the molar mass M and the universal gas constant R are constants. Thus: v^2 T v^2 T = constant Answer: v^2 T = constant