Show dimensionally that the pressure is given by (i) energy per unit volume (ii) force per unit area.

Show dimensionally that the pressure is given by (i) energy per unit v

1.	Show dimensionally that the pressure is given by (i) energy per unit volume (ii) force per unit area.
Answer» Solution :DIMENSIONS of PRESSURE `=ML^(-1)T^(-2)` Dimensions of energy per unit volume `=(ML^(2)T^(-2))/(L^(3))=ML^(-1)T^(-2)` Dimensionless of FORCE per unit area `=(MLT^(-2))/(L^(2))` So all the three are the same.