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Two isolated conducting spheres S1 and S2 of radius 2/3R and 1/3 R have 12μC and –3μC charges, respectively

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Two isolated conducting spheres S1 and S2 of radius 2/3R and 1/3 R have 12μC and –3μC charges, respectively, and are at a large distance from each other, They are now connected by a conducting wire. A long time after this is done the charges on S1 and S2 are respectively :

(1) 6 μC and 3μC

(2) 4.5 μC of both

(3) +4.5 μC and –4.5 μC

(4) 3 μC and 6 μC

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Correct answer: (1) 6 μC and 3μC

Explanation:

Total charge = 12 – 3 = 9μC

If final charges are q1 and q2

q1/q2 = R1/R2 = 2/1

q1 = 6 μC

q2 = 3μC

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