Question 12 of 180
Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R : Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.
Show answer and solution
Answer: (A) A is false but R is true
Potential of a conducting sphere is given by
As in case of metallic sphere either solid or hollow, the charge will reside on the surface of the sphere. Since both spheres have same surface area, so they can hold equal charge.
The capacitance of a metallic sphere depends only on its radius. It does not matter whether the sphere is hollow or solid.
Hence, A is false but R is true.
As in case of metallic sphere either solid or hollow, the charge will reside on the surface of the sphere. Since both spheres have same surface area, so they can hold equal charge.
The capacitance of a metallic sphere depends only on its radius. It does not matter whether the sphere is hollow or solid.
Hence, A is false but R is true.
