A metallic sphere of radius R is charged to a potential V. If is brought in contact with an uncharged metallic sphere of radius R/2 and then separated. Then potential of the smaller sphere will be

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2V/3

V/3

V/4

3V/4

answer is A.

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Detailed Solution

Initial charge on the larger sphere Q=4π∈oR. V∴potential of the smaller sphere V'=QC1+C2=4π∈oRV4π∈oR+4π∈oR/2⇒V'=2V/3.

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