Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The dimensional formula for r m.s (root mean square) velocity is
Text Solution
Verified by ExpertsThe correct answer is:
D
Step 1: Understand that root mean square (r.m.s) velocity indicates the average velocity of particles in a gas.
Step 2: The dimensional formula for velocity is given by the formula: Velocity = \frac{distance}{time}.
Step 3: The dimensional formula for distance is [L] and for time is [T]. Therefore, the dimensional formula for velocity is [L][T^{-1}] = [ML^{1}T^{-1}].
Step 4: Since r.m.s velocity has the same dimensional formula as velocity, the answer is [ML^{1}T^{-1}].
Therefore, the correct option is D.
Step 2: The dimensional formula for velocity is given by the formula: Velocity = \frac{distance}{time}.
Step 3: The dimensional formula for distance is [L] and for time is [T]. Therefore, the dimensional formula for velocity is [L][T^{-1}] = [ML^{1}T^{-1}].
Step 4: Since r.m.s velocity has the same dimensional formula as velocity, the answer is [ML^{1}T^{-1}].
Therefore, the correct option is D.
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