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Two particles each of mass m are kept at points A and B as shown in figure. A third particle, also of mass m, is projected with velocity V=Gmd from the mid point C of the line joining A and B in a direction perpendicular to AB. Then the maximum distance of the third particle from each of the other two particles is

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a

4d3

b

2d3

c

8d3

d

2d

answer is A.

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Detailed Solution

Conserving energy, (−Gm2x)2+(−Gm22d)=12m(Gmd)2+(−Gm22d)+(−Gm2d)×2⇒−2x=12d−2d⇒ x=4d3
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Two particles each of mass m are kept at points A and B as shown in figure. A third particle, also of mass m, is projected with velocity V=Gmd from the mid point C of the line joining A and B in a direction perpendicular to AB. Then the maximum distance of the third particle from each of the other two particles is