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Question

Question: A suitable unit for gravitational constant is...

A suitable unit for gravitational constant is

A

kgmetresec1kgmetre\sec^{- 1}{}

B

Newtonmetre1secNewtonmetre^{- 1}\sec

C

Newtonmetre2kg2Newtonmetre^{2}kg^{- 2}

D

kgmetresec1kgmetre\sec^{- 1}{}

Answer

Newtonmetre2kg2Newtonmetre^{2}kg^{- 2}

Explanation

Solution

As F=Gm1m2r2F = \frac{Gm_{1}m_{2}}{r^{2}} \therefore G=Fr2m1m2G = \frac{Fr^{2}}{m_{1}m_{2}}

Substituting the unit of above quantities unit of G = Newtonmetre2kg2Newtonmetre^{2}kg^{- 2}.