Match List-I with List-II for a uniformly charged thin spherical shell of radius R and total charge Q (where k = 1 4 ₀ and r is the distance from the centre of the shell). List-I List-II A. Electric field at r = R/2 I. Zero B. Electric potential at r = R/2 II. kQ R C. Electric field at r = 2R III. kQ 4R^2 D. Electric potential at r = 2R IV. kQ 2R Choose the correct answer from the options given below:

Step-by-step solution

For a uniformly charged thin spherical shell of radius R and charge Q : Inside the shell ( r The electric field is zero everywhere. At r = R/2 , E = 0 . (A matches I) The electric potential is constant and equal to the potential at the surface. At r = R/2 , V = kQ R . (B matches II) Outside the shell ( r > R ): The shell behaves as a point charge located at its centre. The electric field at r = 2R is E = kQ (2R)^2 = kQ 4R^2 . (C matches III) The electric potential at r = 2R is V = kQ 2R . (D matches IV) Therefore,