Question

check the dimensional consistency of v2-u2=2as​

Answer 1

Explanation:

We have v

2

−u

2

=2as.

Checking the dimensions on both sides, we get

LHS=[LT

−1

]

2

−[LT

−1

]

2

=[L

2

T

−2

]−[L

2

T

−2

]=[L

2

T

−2

]

RHS=[L

1

T

−2

][L]=[L

2

T

2

]

Answer 2

Explanation:

(LT^-1)^2 - (LT^-1)^2=(LT^-2)(L)

(LT^-1)^2=(L^2T^-2)

L^2T^-2=L^2T^-2

therefore, RHS=LHS

hence, consistency proved.