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Question

Check whether the relation S=ut+12at2 is dimensionally correct or not. Where symbols have their

usual meaning?


A

Yes, dimensionally correct

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B

No, dimensionally incorrect

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Solution

The correct option is A

Yes, dimensionally correct


We have S=ut+12at2

Checking the dimensions on both sides, L.H.S.=[M0L1T0]

R.H.S. = [LT1][T]+[LT2][T2]=[ML1T]+[ML1T]=[ML1T]

Comparing the L.H.S. and R.H.S.

Hence the formula is dimensionally correct.


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