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Q.

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

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a

6.67×10-6  dyne g-2 cm2


 

b

 6.67×10-11  dyne g-2 cm2


 

c

6.67×10-8  dyne g-2 cm2

d

6.67×10-5  dyne g-2 cm2


 

answer is D.

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Detailed Solution

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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:

1N = 105 dyne

1kg= 1000g

1m= 100cm

Substituting the values,

G=6.67 × 10-11 × 105 × 102 × 102 103 × 103 = 6.67×10-8 dyne g-2 cm2

Hence, option 2 is correct.


 

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