The figure shows four arrangements of three particles of equal masses. Rank the arrangement according to the magnitude of the net gravitational force on the particle m, greatest first.
A
2,3,4,1
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B
1,4,3,2
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C
1,tie of 2 and 4, then 3
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D
4,3,1,2
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Solution
The correct option is C1,tie of 2 and 4, then 3 Force in (i) case =Gm2(1d2+1D2)
Force in (iii) case =Gm2(1d2−1(D−d)2)
Force in (ii) case =Gm2√(1d2+1D2)
Force in (iv) case=Gm2√(1d2+1D2)
∴ Decreasing order is (i),(ii)=(iv)(iii)
Hence, final answer is (a).