Question

Verify dimensionally Potential energy = m²g¹h² is correct or wrong ,where m is mass,g is gravity, & h is height.​

Answer 1

Answer:

Let us consider an equation

1/2mu²

=mgh, where m is mass of the body, v its velocity, g is the acceleration due to gravity and R is the Right. Check whether this equation is dimensionally correct.

Answer 2

The Expression that

• Potential energy = m²g¹h² is wrong.

Explanation:-

Potential Energy is a type of energy so its dimensional formula will be $[ML^2T^{-2}]$

We know that,

• Dimension of mass = [M].

• Dimension of g = $[LT^{-2}]$

(g= gravitational acceleration)

• Dimension of h = [L]

Dimension of acceleration = $[LT^{-2}]$

Therefore,

$Dimension of {m^2g^1h^{-2}}$ $=[M]^2\times[LT^{-2}]\times[L^2]$

$[M^{2}L^{1+2}T^{-2}$

$\red{=[ML^2T^{-2}]}$

Thus Dimension Of Potential Energy Isn't the Dimension Of m²g¹h².

Thus The Given Expression Is wrong.