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NEET PHYSICSEasy

A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre:

A

decreases as r increases for r < R and for r > R

B

increases as r increases for r < R and for r > R

C

is zero as r increases for r < R, decreases as r increases for r > R

D

is zero as r increases for r < R, increases as r increases for r > R

Step-by-Step Solution

According to Gauss's Law, for a uniformly charged spherical shell of radius RR: 1) Inside the sphere (r<Rr < R), the electric field is zero because the Gaussian surface encloses no charge. 2) Outside the sphere (r>Rr > R), the shell behaves as if the entire charge is concentrated at the center, and the electric field behaves like that of a point charge, given by E=14πε0qr2E = \frac{1}{4\pi\varepsilon_0} \frac{q}{r^2}. Thus, for r>Rr > R, the electric field decreases as rr increases (E1/r2E \propto 1/r^2).

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