Question

dimensional formula for energy ?

Answer 1

Answer:

Derivation. Or, E = [M] × [L1 T-1]2 = M1 L2 T-2. Therefore, energy is dimensionally represented as M1 L2 T-2.

Answer 2

Answer:

The dimensional formula for energy is $M^{1} L^{2} T^{-2}$

Explanation:

We know that energy = $m$$c^{2}$

where m =  mass

           c = speed of light

Dimensional formula of mass = $M^{1}$

We know that speed = distance ÷ time

Dimentional formula of distance = $M^{0} L^{1} T^{0}$

Dimentional formula of time =$M^{0} L^{0} T^{1}$

Therefore dimentional formula of speed = $M^{0} L^{1}T^{-1}$

Energy = $mc^{2}$

            = $M^{1}$ ×$(M^{0} L^{1}T^{-1})^{2}$

            = $M^{1} L^{2} T^{-2}$

Therfore the dimentional formula of energy is $M^{1} L^{2} T^{-2}$.