The electric potential $V(x)$ in a region around the origin is given by $V(x)=4 x^2$ volts. The electric…

The electric potential $V(x)$ in a region around the origin is given by $V(x)=4 x^2$ volts. The electric charge enclosed in a cube of $1 \mathrm{~m}$ side with its centre at the origin is (in coulomb)
  1. $8 \varepsilon_0$
  2. $-4 \varepsilon_0$
  3. 0
  4. $-8 \varepsilon_0$

Solution

Charges reside only on the outer surface of a conductor with cavity.

Asked in: JEE Main 2012 (07 May Online)

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