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Two metallic spheres of radii 1 cm and 3...

Two metallic spheres of radii 1 cm and 3 cm are given charges of `-1 xx 10^(-2) C ` and `5 xx 10^(-2) C` , respectively . If these are connected by a conducting wire , the final charge on the bigger sphere is

A

`2 xx 10^(-2) C`

B

`3 xx 10^(-2)C`

C

`4 xx 10^(-2)C`

D

`1 xx 10^(-2)C`

Text Solution

Verified by Experts

The correct Answer is:
B
Net charge on spheres `=q_(1) +q_(2)`
`=-1 xx 10^(-2) +5 xx 10^(-2)`
`=4 xx 10^(-2)C`
Charge carried by sphere `prop` Radius of sphere
`(q_(1))/(q_(2))= (r_(2))/(r_(1))`
`(q_(1))/(q_(2))=(3)/(1)`
`q_(1)+q_(2)=4` Charge stored by bigger sphere
`=(4 xx 10^(-2))/(4) xx 3 = 3 xx 10^(-2)C`
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