Question

Check the consistency of the following equations using dimensions (i) V=u + at (ii) S=ut+1/2at2​

Answer 1

Answer:

As LHS=RHS, formula is dimensionally correct.

Writing the dimensions of either side of the given equation.

LHS=8=displacement=[M

0

LT

0

]

RHS=ut=velocity×time=[M

0

LT

−1

][T]=[M

0

LT

0

]

and

2

1

at

2

=(acceleration)×(time)

2

=[M

0

LT

−2

][T]

2

=[M

0

LT

0

]

As LHS=RHS, formula is dimensionally correct.

Explanation:

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