Question

The value of G in c.g.s system is 6.67x10^-8 dyne cm^2 g^-2. Find its value in SI system? Please supply clear answer

Answer 1

6.67 × 10^-8 dyne.cm²/g²

we know ,
1 dyne = 10^-5 N
1 cm = 10^-2 m
1 g = 10^-3 kg
use this here ,

6.67 × 10^-8 × ( 10^-5) .(10^-2)²/(10^-3)²

= 6.67 × 10^-8 { 10^-5× 10^-4 /10^-6} Nm²/kg²

= 6.67 × 10^-8- × 10^-3 N.m²/kg²

= 6.67× 10^-11 Nm²/kg²

Answer 2

$6.67 \times {10}^{ - 11} n - {m }^{2} k {g}^{2}$

This is the correct answer