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Two particles A and B of masses m and 2m are at a separation d. PQ is a line perpendicular to the line AB. Then minimum possible moment of inertia about PQ is 

 

a
34md2
b
14md2
c
43md2
d
23md2

detailed solution

Correct option is D

IPQ  will be minimum when line PQ passes through the centre of mass of the system∴ AP = 2m×d3m = 2d3      and  BP = d−2d3 = d3 ∴IPQ min=m2d32+2md32a                                      =23md2

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