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Question

An oil drop of 12 excess electrons is held stationary under a constant electric field of 2.55×104V m1 in Millikan's oil drop experiment. The density of the oil is 1.26 g cm3. Estimate the radius of the drop. Given that g=9.81 m s2 and e=1.6×1019C

A
6382×104mm
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B
7.82×104mm
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C
9.82×104mm
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D
10.82×104mm
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Solution

The correct option is D 9.82×104mm
Number of electrons, n=12

Electric field,E=2.55×104V/m,density,ρ=1.26×103×106kg/m3atequilibrium,qE=mgneE=43πr3×ρ×gr3=3neE4πρgr=3×12×1.6×1019×2.55×1044π×1.26×103×9.81r=9.82×104mm


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