Question

Prove that v^2=2gh is dimensionally correct.​

Answer 1

The formula is correct.

Step-by-step explanation:

The given expression is :

`v^2=2gh`

Where

v is the velocity

g is acceletion due to gravity

h is height

Taking LHS,

The dimensional formula for [v] = [LT⁻¹]

[v²] = [L²T⁻²]

Taking RHS,

The dimensional formula for [g] = [LT⁻²]

The dimensional formula for [h] =[L]

2gh = [LT⁻²][L]

= [L²T⁻²]

So, LHS = RHS

So, the given formula is correct dimensionally.