In the CGS system of units, the universal gravitational constant is equal to:

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$6.67 \times 10^{- 6} dyne g^{- 2} {cm}^{2}$

$6.67 \times 10^{- 11} dyne g^{- 2} {cm}^{2}$

$6.67 \times 10^{- 8} dyne g^{- 2} {cm}^{2}$

$6.67 \times 10^{- 5} dyne g^{- 2} {cm}^{2}$

answer is D.

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Detailed Solution

Concept: The universal gravitational constant is the gravitational force between two bodies of unit mass separated by a unit distance.

The universal gravitational constant has the same value everywhere in the universe.

In the SI system, the universal gravitational constant has the value 6.67 x 10^-11 Nm²/kg².

Universal gravitational constant in the CGS unit system:

$1 N = 10^{5} dyne$

$1 kg = 1000 g$

$1 m = 100 cm$

Substituting the values,

$G = \frac{6.67 \times 10^{- 11} \times 10^{5} \times 10^{2} \times 10^{2}}{10^{3} \times 10^{3}} = 6.67 \times 10^{- 8} dyne g^{- 2} {cm}^{2}$

Hence, option 2 is correct.

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