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Q.

Is it true that the SI unit of the universal gravitational constant is $N m^{2} / {kg}^{2}$ ?

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a

True

b

False

answer is A.

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Detailed Solution

The above statement is True.
Universal gravitational constant

(G)

is unbiased of the character of the particle, medium between the particles and time. Its value is constant anywhere inside the universe, and therefore it’s called ‘universal’. The SI unit of

G

is

N m^{2} / {kg}^{2}

. It is known that the gravitational force is given by

F = \frac{G m_{1} m_{2}}{r^{2}}

It can also be written as

G = \frac{F r^{2}}{m_{1} m_{2}}

Where

G

,

F

,

m_{1}

,

m_{2}

and

r

are the universal gravitational constant, gravitational force, mass of the first body, mass of the second body and the distance between the masses respectively.
Hence, the SI unit of

G

is

N m^{2} / {kg}^{2}

.

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