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Gagan Yadav

· started a discussion

· 1 Months ago

g is inversely proportional to R, hence option a is correct

Question:
Gravitation _____ as we go downwards from the Earth.
Options:
A) Increases
B) Decreases
C) There is no effect
D) First increases then decreases
Solution:
Ans:(b) Decreases

Knowledge Expert

· commented

· 1 Months ago

Yet to be approved!

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

If we consider the Earth were uniformly dense with density ρ0, then the mass within a radius r would be
M(r)=4/3 πr3ρ0
Gravitational field in terms radius.
g(r)= F(r)/m =G.1/r^2 . 4/3 πgρ0 = (4/3πgρ0)r

So in this case, it would be true that the strength of the gravitational field would decrease with increasing depth.

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