Question

Check the correctness of Equation wring dimension
1) work done =mgh​

Answer 1

Solution :-

We need to check the correctness of he equation , W = mgh by writing the dimensions

Here , as we know that

Dimension of work ( W ) is [ML²T-²]

So,

• [ML²T-²] = mgh

By substituting the dimensions of mgh, we need to prove that LHS = RHS so the given equation is correct .

Now taking RHS and proving

Substituting the dimensions ,

• m → M

• g → LT-²

• h → L

⇒ M × LT-² × L

⇒ ML²T-²

Now comparing with LHS

→ ML²T-² = ML²T-²

• LHS = RHS

Hence , the given equation is correct

Answer 2

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