Dimensions of luminous flux are

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Luminous flux is defined as the rate of flow of light energy,which is equivalent to radiant power. The $SI$ unit of luminous flux is the lumen $(l

Vedclass · Accepted Answer

$M L^2 T^{-3}$

Vedclass · Answer

(B) Luminous flux is defined as the rate of flow of light energy,which is equivalent to radiant power. The $SI$ unit of luminous flux is the lumen $(lm)$,which is a unit of power. Therefore,the dimensions of luminous flux are the same as the dimensions of power. Power $(P)$ is defined as work done $(W)$ per unit time $(t)$: $P = W / t$. The dimensions of work are $[M L^2 T^{-2}]$ and the dimensions of time are $[T]$. Thus,the dimensions of power are $[M L^2 T^{-2}] / [T] = [M L^2 T^{-3}]$.

Similar Questions

The dimensional formula $[ML^0T^{-3}]$ is more closely associated with

Force $F = P \cos(Ax) + Q \sin(Bt)$,where $x$ and $t$ are displacement and time respectively. Which one of the following physical quantities has the dimensions of $\left[\frac{B}{A}\right]$?

Dimensions of charge are

Let $[{\varepsilon _0}]$ denote the dimensional formula of the permittivity of free space and $[{\mu _0}]$ denote the dimensional formula of the permeability of free space. If $M = \text{mass}$,$L = \text{length}$,$T = \text{time}$,and $I = \text{electric current}$,then:

The dimensional formula of permeability of free space $\mu_0$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module