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Two conducting spheres of radii 3 cm and...

Two conducting spheres of radii 3 cm and 1 cm are separated by a distance of 10 cm in free space. If the spheres are charged to same potential of 10 V each, the force of repulsion between them is

A

`((1)/(3)) xx 10^(-9)N`

B

`((2)/(9)) xx 10^(-9)N`

C

`((1)/(9)) xx 10^(-9) N`

D

`((4)/(3)) xx 10^(-9)N`

Text Solution

Verified by Experts

The correct Answer is:
A
`(Kq_(1))/(3) = 10, (Kq_(2))/(1) = 10`
`Kq_(1) = 30 xx 10^(-2)`
`Kq_(2) = 10 xx 10^(-2)`
`F = (Kq_(1)q_(2))/(10^(-2))`
`= ((30 xx 10^(-2)) (10 xx 10^(-2)))/(K xx 10^(-2))`
`F = (1)/(3) xx 10^(-9) N`
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