Question

Find the dimensional formula of universal gravitational constant G. Given that F = Gm1m2/r2' where F is force m1, m2 is mass & r is distance​

Answer 1

Answer:

the dimensions of G are [ M^-1 L^3 T^-2 ]

Explanation:

The given formula is; F= G m1m2/r^2

so rearranging the formula to get G;

G= F x r^2/m1m2

As F= newton= kgms-2 = [ M L T^-2]

m= kilogram= kg= [ M ]

r= meter = [ L^2 ]

placing the units of force mass and r we get

G= [ M L T^-2] * [L^2] / [ M] [ M ]

G= [ M^-1 L^3 T^-2 ]