The value of universal gravitational constant G=6.67×10-11 N m2kg-2. The value of G in units of g-1cm3 s-2 is

G=6.67×10-11N m2 kg-2 =6.67×10-11×kg m s-2 m2 kg-2 =6.67×10-11×1000 g×100 cm×s-2 100 cm2 1000 g-2 =6.67×10-8g-1cm3 s-2

The value of universal gravitational constant G=6.67×10-11 N m2kg-2. The value of G in units of g-1cm3 s-2 is

G=6.67×10-11N m2 kg-2 =6.67×10-11×kg m s-2 m2 kg-2 =6.67×10-11×1000 g×100 cm×s-2 100 cm2 1000 g-2 =6.67×10-8g-1cm3 s-2

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The value of universal gravitational constant $G = 6.67 \times 10^{- 11} N m^{2} k g^{- 2}$ . The value of $G$ in units of $g^{- 1} c m^{3} s^{- 2}$ is

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$6.67 \times 10^{- 10}$

$6.67 \times 10^{- 8}$

$6.67 \times 10^{- 7}$

$6.67 \times 10^{- 9}$

answer is A.

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Detailed Solution

$G = 6.67 \times 10^{- 11} N m^{2} k g^{- 2} = 6.67 \times 10^{- 11} \times (k g m s^{- 2}) (m^{2}) {(k g)}^{- 2} = 6.67 \times 10^{- 11} \times [(1000 g) \times (100 c m) \times s^{- 2}] {(100 c m)}^{2} {(1000 g)}^{- 2} = 6.67 \times 10^{- 8} g^{- 1} c m^{3} s^{- 2}$