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Question: The value of universal gravitational constant \(G = 6.67 \times 10^{- 11}Nm^{2}kg^{- 2}\). The value...

The value of universal gravitational constant G=6.67×10−11Nm2kg−2G = 6.67 \times 10^{- 11}Nm^{2}kg^{- 2}. The value of G in units of g-1 cm3 s-2 is

A

6.67 × 10-8

B

6.67 × 10-7

C

6.67 × 10-9

D

6.67 × 10-10

Answer

6.67 × 10-8

Explanation

Solution

G=6.67×10−11Nm2kg−2G = 6.67 \times 10^{- 11}Nm^{2}kg^{- 2}

=6.67×10−11×(kgms−2)(m2)(kg)−2=6.67×10−11×[(1000g)×(100cm)×s−2]×(100cm)2×(1000g)−2=6.67×10−11×105×104×10−6g−1cm3s−2=6.67×10−8g−1cm3s−2= 6.67 \times 10^{- 11} \times (kgms^{- 2})(m^{2})(kg)^{- 2} = 6.67 \times 10^{- 11} \times \lbrack(1000g) \times (100cm) \times s^{- 2}\rbrack \times (100cm)^{2} \times (1000g)^{- 2} = 6.67 \times 10^{- 11} \times 10^{5} \times 10^{4} \times 10^{- 6}g^{- 1}cm^{3}s^{- 2} = 6.67 \times 10^{- 8}g^{- 1}cm^{3}s^{- 2}