Match List - I with List - II.List - IList - II(A) Electric field inside (distance r>0 from center) of a uniformly charged spherical shell with surface charge density, and radius R.(I) / 0(B) Electric field at distance r >0 from a uniformly charged infinite plane sheet with surface charge density.(II) / 2 0(C) Electric field outside (distance r>0 from center) of a uniformly charged spherical shell with surface charge density, and radius R.(III) 0(D) Electric field between 2 oppositely charged infinite plane parallel sheets with uniform surface charge density.(IV) R2/ 0 r2Choose the correct answer from the options given below:

(B) (A)-(IV), (B)-(II), (C)-(III), (D)-(I)

(C) (A)-(II), (B)-(I), (C)-(IV), (D)-(III)

(D) (A)-(IV), (B)-(I), (C)-(III), (D)-(II)

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JEE Mains · Physics · STD 12 - Electric charges and fields

JEE Mains 2025
Medium
MCQ

Match List - I with List - II.
List - I List - II
(A) Electric field inside (distance \(r>0\) from center) of a uniformly charged spherical shell with surface charge density \(\sigma\), and radius R. (I) \(\sigma / \epsilon_0\)
(B) Electric field at distance \(r >0\) from a uniformly charged infinite plane sheet with surface charge density \(\sigma\). (II) \(\sigma / 2 \epsilon_0\)
(C) Electric field outside (distance \(r>0\) from center) of a uniformly charged spherical shell with surface charge density \(\sigma\), and radius R. (III) \(0\)
(D) Electric field between 2 oppositely charged infinite plane parallel sheets with uniform surface charge density \(\sigma\). (IV) \(\frac{\sigma R^2}{\epsilon_0 r^2}\)
Choose the correct answer from the options given\(\text{ }\)below\(\text{ }\):

Pick an option to check your answer.

Verified Solution

Answer & Solution

Correct Answer

(A) (A)-(III), (B)-(II), (C)-(IV), (D)-(I)

Step-by-step Solution

Detailed explanation

Inside uniformly charged spherical shell, \(E=0\)
\(\therefore \mathrm{A} \rightarrow \mathrm{III}\)
For uniformly charged infinite plate
\(E=\frac{\sigma}{2 \varepsilon_0}\)
\(\therefore \mathrm{B} \rightarrow \mathrm{II}\)
Outside of spherical shell
\(E=\frac{Q}{4 \pi \varepsilon_0 r_2}=\frac{\sigma R^2}{\varepsilon_0 r^2}\)
\(\therefore \mathrm{C} \rightarrow \mathrm{IV}\)
Between two plates \(E=\frac{\sigma}{\varepsilon_0}\)
\(\therefore \mathrm{D} \rightarrow \mathrm{I}\)

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List - I	List - II
(A) Electric field inside (distance \(r>0\) from center) of a uniformly charged spherical shell with surface charge density \(\sigma\), and radius R.	(I) \(\sigma / \epsilon_0\)
(B) Electric field at distance \(r >0\) from a uniformly charged infinite plane sheet with surface charge density \(\sigma\).	(II) \(\sigma / 2 \epsilon_0\)
(C) Electric field outside (distance \(r>0\) from center) of a uniformly charged spherical shell with surface charge density \(\sigma\), and radius R.	(III) \(0\)
(D) Electric field between 2 oppositely charged infinite plane parallel sheets with uniform surface charge density \(\sigma\).	(IV) \(\frac{\sigma R^2}{\epsilon_0 r^2}\)