Two hollow metal spheres are mounted on insulating stands. Sphere 1 has a radius

Question

Two hollow metal spheres are mounted on insulating stands. Sphere 1 has a radius r1, and sphere 2 has a radius r2 = 2r1. A charge Q is placed on sphere 1 to give it an electric potential of +159 V. The other sphere is uncharged at a potential of 0 V. If the two spheres are now placed in contact and then separated, what will be their new charges (as fractions of Q) and potentials?
xQ (sphere 1)
xQ (sphere 2)
V (sphere 1)
V (sphere 2)

Explanation / Answer

potential =k *charge/radius when on contact both spheres should have same potential and total potential =V so,charge is directly proportional to radius and total charge is Q a>sphere 1, 1/3 Q b>sphere 1, 2/3 Q c>sphere 1, 1/2 V d>sphere 2, 1/2 V

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