Question

the ratio of SI unit of universal gravitational constant to C.G.S unit is??

Answer 1

S.I Unit of universal gravitational constant 
G = 6.674×10ˉ¹¹  m³ / kg.s²

C.G.S Unit of universal gravitational constant 
G = 6.673 x 10^-8 cm³/ g.s²

Hence, we find the ratio of the above two quantities 
6.674×10ˉ¹¹  m³ / kg.s² ÷ 6.673 x 10^-8 cm³/ g.s²

Answer 2

Dimensions of G
Force  = G M1 M2 / R²
G =  F R²  /  M1 M2    =  Newton  meter²  / kg² 
                                 =  10^5 dyne  100² cm  / 1000²  gm²
                                =  1000 dyne cm / gm²
     Newton = 1 kg meter / sec²  =  1000 gm  100 cm / sec²  = 10^5 gm cm/sec²