Question

Ratio of cgs unit of gravitational constant to si unit is

Answer 1

we Know ,
F = GmM/r²

in S.I system
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G = Fr²/mM = 6.67 × 10-¹¹ N m²/kg²

now
in C.G.S system
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G = 6.67 × 10-¹¹ × 10^5 dyne .(10² cm)²/(10³g)²

= 6.67 × 10-¹¹ × {10^(5 + 4 -6)} dyne.cm²/g²

= 6.67 × 10-¹¹ × 10³ dyne .cm²/g²

now ,
ratio = 6.67 × 10-¹¹/6.67 × 10-¹¹ × 10³
= 1/1000 = 0.001