Of the following quantities , which one has the dimensions different from the remaining three?

Options

A. Energy per unit volume
B. Force per unit area
C. Product of voltage and charge per unit volume
D. Angular momentum per unit mass

Answer

D

Explanation

Energy per unit volume = `([ML^2T^(-2)])/([L^2])=[ML^(-1)T^(-2)]`
Force per unit area = `=([MLT^(-2)])/([L^2])=[ML^(-1)T^(-2)]`
Product of voltage and charge per unit volume
`(VxxQ)/("Volume")= (VIt)/("Volume")=("Power" xx "Time")/("Volume") =([ML^2T^(-2)])/([L]^3)`
`=[ML^(-1)T^(-2)]`
Angular momentum per unit mass = `([ML^2T^(-1)])/([M])=[L^2 T^(-1)]`
Clearly the dimension of angular momentum is different.