Question

Universal constant of gravity in terms of pressure , speed of light,acceleration due to gravity

Answer 1

The acceleration due to gravity depends on the mass of the body, the distance from the center of mass, and a constant G, which is called the "universal gravitational constant". Its value is = 6.673 x 10-11 N.

Answer 2

Dimension of G=M−1L3T−2

[c]=[LT−1]

[g]=[LT−2]

[p]=[ML−1T−2]

Equate dimensions

[M−1L3T−2]=[LT−1]α[LT−2]β[ML−1T−2]γ

−1=γ

3=α+β−γ

α+β=2                                  (1)

And, −2=−α−2β−2γ

α+2β=4                               (2)

Solving (1) and (2) we get, 

α=0,β=2 

∴Dimension=c0g2p−1