maharjansarinya
maharjansarinya maharjansarinya
  • 17-06-2021
  • Physics
contestada

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

Respuesta :

Muscardinus Muscardinus
  • 22-06-2021

Answer:

The formula is correct.

Explanation:

The given expression is :

[tex]v^2=2gh[/tex]

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.

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