- #1
erisedk
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Homework Statement
The value of acceleration due to gravity at a point P inside the Earth and at another point Q outside the Earth is g/2 (g being acceleration due to gravity at the surface of earth). Maximum possible distance in terms of radius of Earth R between P and Q is
Ans: R/2 ( 2*root2 + 1 )
Homework Equations
Acceleration due to gravity at a depth d under the Earth = g(1-(d/R))
Acceleration due to gravity at a height h above the Earth = g(1-(2h/R))
g-acc. due to gravity at surface
R- radius of Earth
The Attempt at a Solution
g(1-(d/R))=g(1-(2h/R))
d=2h
g/2 = g(1-(2h/R))
g/2 = g(1-(d/R))
d=R/2
h=d/2=R/4
So, d+h= 3R/4
In all these steps, not once did I think about the maximum possible distance.
And my answer is also wrong.