Gravitation Question 13

Question: If R is the radius of the earth and g the acceleration due to gravity on the earth’s surface, the mean density of the earth is [CPMT 1990; BHU 1998; Kerala PMT 2002; MH CET (Med.) 1999; CBSE PMT 1995]

Options:

A) [4πG/3gR]

B) [3πR/4gG]

C) [3g/4πRG]

D) [πRG/12G]

Show Answer

Answer:

Correct Answer: C

Solution:

[g=GMR2] and [M=43πR3×ρ]

[,,g=43πR3×GDR2,,D=3g.4πRG]



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