The average density of the earth in terms of g,Gand R is:
4πGR3g
4πGR23g
3g4πGR
3g4πGR2
A
4πGR3g
B
3g4πGR2
C
3g4πGR
D
4πGR23g
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Solution
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The gravitational constant g is given as: g=GMR2orM=g×R2G⇒DensityD=massvolume=g×R2G×Ve (Where Ve is the volume of the earth ) D=g×R2G×43πR3=3g4πGR. Hence, the average density of the earth in terms of g, G and R is3g4πGR.
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