Question

Three identical metal spheres are on insulating stands. Sphere A is given an initial charge of q. Sphere A is then briefly touched to Sphere B. Afterward, Sphere B is then briefly touched to Sphere C. What amount of charge does each sphere now have?

. A

Sphere A - 0.25 q

Sphere B - 0.5 q

Sphere C - 0.25 q


B.

Sphere A - 0.25 q

Sphere B - 0.5 q

Sphere C - 0.25 q


C.

Sphere A - 0.33 q

Sphere B - 0.33 q

Sphere C - 0.33 q


D.

Sphere A - 0.5 q

Sphere B - 0.25 q

Sphere C .025 q

Answer 1

When identical metal spheres are charged and then touched, the charge redistributes evenly among them. Sphere A passes half of its charge to Sphere B, and then Sphere B shares half of its charge with Sphere C, resulting in Sphere A having 0.5q and Sphere B and C each having 0.25q. So the correct option is D.

Step-by-step explanation:

When three identical metal spheres are charged and come into contact, the charge redistributes evenly among the identical spheres. Initially, Sphere A is given a charge of q. When Sphere A touches Sphere B, they both end up with half of Sphere A's original charge due to the redistribution of charge. Sphere A and Sphere B will each have 0.5q. After Sphere B is then touched by Sphere C, Sphere B, and Sphere C will then share Sphere B's charge equally, giving them both 0.25q. Therefore, the final charge distribution will be Sphere A - 0.5q, Sphere B - 0.25q, and Sphere C - 0.25q.

Answer 2

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