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 volume and change per unit volume
D. Angular momentum per unit mass

Answer

d

Explanation

Energy per unit volume`= ([ML^(2)T^(2)])/([L^(3]])= [ML^(-3)T^(-2)]`
force per unit area `= ([ML^(2)T^(2)])/([L^(2]])= [ML^(-1)T^(-2)]`
Producted of voltage and charge per unit volume
`= (V xx Q)/("Volume") = ("VIt")/("Volume")= ("Power" xx "time")/("Volume")`
`rArr ([ML^(2)T^(-3)][T])/([L^(3)] = [ML^(-1)T^(-2)]`
Angular momentum per unit mass
`([ML^(2)T^(-1)])/([M]) = [L^(2)T^(-2)]`
So angular per unit has different dimension