Q1-Infinite number of masses, each of mass m, are placed along a straight line at distances r. 21, 4r, 8r etc. froma reference point O. The gravitational field at O will be
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Answer:The gravitational field intensity at the reference point is 4Gm/3r^2
Explanation:
The masses are at distance r , 2r,4r,8r and so on from point o( reference point ).
So , net gravitational field intensity at point o
= Gm [1/r^2 + 1/(2r)^2 + 1/(4r)^2 + ........]
=Gm/r^2 [ 1 + 1/4 + 1/16 +...........]
=Gm/r^2 [ 1 / {1-1/4} ] ( using geometric progression property )
=4Gm / 3r^2
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