Question

Check the equation of c=1/2mv-2=mgh

Answer 1

Answer & Explanation:

hello friend

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.

Answer 2

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Answer:

The dimensions of 1/2mv^2 (L.H.S) is

[M] [LT^-1]^2 = [M] [L^2T^-2] = [ML^2T^-2]

The dimensions of mgh (R.H.S) is

[M] [LT^-2] [L] = [M] [L^2T^-2] = [ML^2T^-2]

The dimensions of L.H.S and R.H.S are same, hence the equation is dimensionally correct.

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