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

2
by biryani
hey frnds pls send me fast
pls do it na....

2014-07-28T15:32:41+05:30

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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

hey pls solve the ratio step wise
2014-07-28T17:21:45+05:30

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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