Question

Root mean square velocity of a gas molecule is proportional to
(a) m½ (b) m⁰
(c) m⁻½ (d) m

Answer 1

Question:

Root mean square velocity of a gas molecule is proportional to

(a) m½ (b) m⁰

(c) m⁻½ (d) m

Answer : option C

Root mean square velocity: When we take the square root of mean squares of individual velocity we arrive at a new velocity which is different from the mean velocity and most probable velocity . This is called rms velocity

Expression from rms Velocity :

V_rms = √{(3RT)/M}

Therefore , V_rms is inversely propotional to square root of m