Student Login

Home›Chapters›Electrostatics PYQs›Electric Flux & Gauss's Law›Question 125

JEE Main 2008 (AIEEE) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from JEE Main 2008 (AIEEE)

Q125JEE Main 2008 · AIEEEEasy

Electric Flux & Gauss's Law

A thin spherical shell of radius $R$ has charge $Q$ spread uniformly over its surface. Which of the following graphs most closely represents the electric field $E(r)$ produced by the shell in the range $0 \le r < \infty,$ where $r$ is the distance from the center of the shell?

Show answer and solution

Answer: (a)

Thin shell: $E = 0$ for $r < R$ (no enclosed charge).
For $r \ge R$ : $E = \dfrac{Q}{4\pi\varepsilon_0 r^2}$ , jumping to its maximum at $R$ then falling.
So the answer is (a).

Report a mistake

More questions on Electric Flux & Gauss's Law

A hollow cylinder has a charge q coulomb within it. If φ is the electric flux in units of…NEET 2007 (AIPMT)
A square surface of side L metres is in the plane of the paper. A uniform electric field…NEET 2006 (AIPMT)
A charge q is located at the centre of a cube. The electric flux through any face isNEET 2003 (AIPMT)
If the electric flux entering and leaving an enclosed surface respectively is φ₁ and φ₂…JEE Main 2003 (AIEEE)
A charged particle q is placed at the centre O of cube of length L(ABCDEFGH). Another…JEE Main 2002 (AIEEE)
A charge Q μ C is placed at the centre of a cube, the flux coming out from each face will…NEET 2001 (AIPMT)
A charge Q is situated at the corner of a cube, the electric flux passed through all the…NEET 2000 (AIPMT)
A hollow insulated conducting sphere is given a positive charge of 10. What will be the…NEET 1998 (AIPMT)