Check the equation 1/2mvsquare=mgh is dimensionally correct or not

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Solution

1/2mv² = mgh
we have to check the correctness
by dimensional analysis

So LHS
Dimensional formula of 1/2mv²
will. be [M¹ L²T-²]

so now RHS

mgh
dimensional formula of mass is [M¹]

dimensional formula of g (acceleration due to gravity) is [ L¹ T-²]

dimensional formula of height(length) is [L¹]

so dimensional formula of mgh will be

= [M¹ L²T-² ]

so LHS = RHS
it means formulas are dimensionally correct.

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