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  • Which of the following relation is dimensionally correctOption: 1 <img alt="F=\frac{mV^2}{r^2}" src="https://learn.careers360.com/latex-image/?F%3D%5

Which of the following relation is dimensionally correct

Option: 1

F=\frac{mV^2}{r^2}


Option: 2

S=ut+\frac{1}{2}at^2


Option: 3

K.E=\frac{1}{2}mV^2r


Option: 4

t=\sqrt{g}


Answers (1)

best_answer

 In the equation S=ut+\frac{1}{2}at^2

dimension of LHS= [L]

and for RHS:  [ut]=[L] and [\frac{1}{2}at^2]=[L]

So RHS and LHS have the same dimension So it is the correct answer.

For other equations, RHS and LHS do not have same dimension

Posted by

shivangi.shekhar

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