Question

Verify dimensionally 1/2mv^2 =mgh​

Answer 1

Answer:

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.

Comment if you have any problem.

Explanation:

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