Q.

A number of point masses each equal to 'm' are arranged along x-axis at  x=1m, x=2m,, x=4m, and so on. Another mass M is placed at the origin. Force experienced by 'M' due to infinite point masses is

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a

43GMm

b

34GMm

c

GMm3

d

GMm

answer is A.

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Detailed Solution

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Using principle of superposition,

F=F1+F2+....+F

F=GMm1r12+GMm2r22+

since, m1=m2=m3=.....=m

F=GMm1r12+1r22+

F=GMm112+122+142+

F=GMm11+14+116+

F=GMm1114=43GMm

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