Question

What is dimension of mgh?

Answer 1

Hi mate

Here is ur answer ⤵⤵

$\huge\mathfrak{\underline{\underline{\red {Answer}}}}$

The dimensional formula of Potential Energy is given by,

$\bf{ \blue{[M ^{1 }L^{2 }T^{-2}]}}$

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Potential Energy (P.E) = Mass × Acceleration due to Gravity × Altitude . . . . . . (1)

The dimensional formtula of Altitude and Mass = [M^0 L^1 T^0] and [M^1 L^0 T^0] respectively . . . . (2)

For acceleration due to gravity, the dimensional formula = [M^0 L^1 T^-2] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Potential Energy = Mass × Acceleration due to Gravity × Altitude