Question

Check the dimensional correctness of the relation g=GM/r²​

Answer 1

Explanation:

We know ForceF=mass×acceleration----------(1)

And given ForceF=rmv2----------(2)

Equating 1 and 2 dimensionaly we get ,

ma=rmv2

MLT−2=ML2T−2L−1

MLT−2=MLT−2

Answer 2

Explanation:

Correct option is

A

M

−1

L

3

T

−2

• Gravitational force acting between two objects of masses m.

1

and m

2

• separated by distance r, F=

r

2

Gm

1

m

2

⟹ G=

m

1

m

2

Fr

2

• Thus dimensional formula of G is

[M]

2

[MLT

−2

][L]

2

1. ⟹ G=M

−1

L

3

T

−2