Question

Check the correctness of F=Gm1m2/r2 Is it dimensionally correct ?​

Answer 1

Answer:

Given equation is dimensionally incorrect.

Explanation:

Your question:-

To Check the given equation is dimensionally correct or not?

Your solution:-

Dimension of force=[M^1 L^1 T^-2]

Dimension of m1 and m2= [M^2]

Dimension of r^2= [L^2] (-ve indicates it is in division)

Dimension of G=0 (As it is constant)

Force=mass×acceleration

[M^1]×[L^1 T^-2]

: Force=Gm1m2/r^2

[M^1 L^1 T^-2]= [M^2]/[L^2]

[M^1 L^1 T^-2]= [M^2 L^-2 T^0]

LHS≠RHS

Hence, Given equation is dimensionally incorrect.