Question

The dimensional formula for r.m.s.
(root mean square) velocity is
A) {{M}^{0}}L{{T}^{-1}} B) {{M}^{0}}{{L}^{0}}{{T}^{-2}} C) {{M}^{0}}{{L}^{0}}{{T}^{-1}} D) ML{{T}^{-3}}

Answer 1

Dimensions of rms velocity is same as the velocity so A. is the answer.

Answer 2

Answer:

[v] = [M⁰LT⁻¹]

Explanation:

The dimensional formula is used to understand the dimensions of any physical quantities.

We know that the rms speed is root mean square velocity. It is equal to square root of mean of square if value. Its dimensional formula is as same as speed which is equal to total distance divided by total time taken.

Therefore, the dimensional formula for rms velocity is [M⁰LT⁻¹].

Hence, the correct option is (A).