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NEET2015Physics-Electrostatics

NEET 2015 Physics Electric Field MCQ Question

Type: MCQ-conceptual-Medium-Class 12

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius ‘a’ centred at the origin of the field, will be given by

A

4πε₀Aa²

B

Aε₀a²

C

4πε₀Aa³

D

ε₀Aa³

Correct Answer

Option B

Detailed Explanation

Using Gauss's law, the electric flux through a sphere is E×4πa2=Qε0E \times 4\pi a^2 = \frac{Q}{\varepsilon_0}, solving gives Q=4πε0Aa2Q = 4\pi\varepsilon_0 Aa^2.

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