If the value of universal gravitational constant . . .

Question : If the value of universal gravitational constant is 6.6×10^-11Nm²kg^-2 then finds its value in CGS system. 

Doubt by Riddhi

Solution : 

6.6×10^-11Nm²kg^-2 = ________dynecm²g^-2

We know, dimensional formula of G is 
[M^-1L³T^-2]

a=-1

b=3

c=-2

SI System 

n₁=6.6×10^-11

M₁=1kg

L₁=1m

T₁=1s

CGS System

n₂=?

M₁=1g

L₁=1cm

T₁=1s

n₂=6.6×10^-11×[10³]^-1[10²]³×1

n₂=6.6×10^-11×10^-3×10⁶

n₂=6.6×10^-8

So,
6.6×10^-11Nm²kg^-2 = 6.6×10^-8 dynecm²g^-2

Hence, the value of universal Gravitational Constant (G) in CGS system is n₂=6.6×10^-8 dynecm²g^-2.