Which one of the following quantities has dim | vedclass

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

Question

(D) $1$. Energy per unit volume: $\frac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]$.$2$. Force per unit area: $\frac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]$

Vedclass · Accepted Answer

Angular momentum per unit mass

Vedclass · Answer

(D) $1$. Energy per unit volume: $\frac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]$.$2$. Force per unit area: $\frac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]$.$3$. Product of voltage and charge per unit volume: Voltage $	imes$ Charge = Energy. Thus,$\frac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]$.$4$. Angular momentum per unit mass: Angular momentum is $[ML^2T^{-1}]$. Dividing by mass $[M]$ gives $[L^2T^{-1}]$.Since the dimensions of angular momentum per unit mass are $[L^2T^{-1}]$,which is different from $[ML^{-1}T^{-2}]$,the correct option is $D$.

Which one of the following quantities has dimensions different from the remaining three?

Similar Questions

The dimensions of $emf$ in $MKS$ system (in terms of charge $Q$) is:

If $L$ denotes the inductance of an inductor through which a current $i$ is flowing,the dimensions of $L{i^2}$ are

According to Newton,the viscous force acting between liquid layers of area $A$ and velocity gradient $\Delta v/\Delta z$ is given by $F = - \eta A \frac{\Delta v}{\Delta z}$,where $\eta$ is a constant called the coefficient of viscosity. The dimensions of $\eta$ are:

The dimensional formula for impulse is

The dimensional formula of the effective torsional constant of a spring is . . . . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module