Two neutral conducting spheres of diameters $8 \mathrm{~cm}$ and $2 \mathrm{~cm}$ separated with a distance…

Two neutral conducting spheres of diameters $8 \mathrm{~cm}$ and $2 \mathrm{~cm}$ separated with a distance of $15 \mathrm{~cm}$ between their centres are joined by a thin conducting wire. A charge of $100 \mathrm{nC}$ is given to one of the spheres and the system is allowed to reach electrostatic equilibrium. The electric potential at a point on the line joining the centres of the two spheres where the net electric field becomes zero is ____ V. (Neglect the charge acquired by the wire and $\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}$)
  1. $10.8 \times 10^3$
  2. $10.8 \times 10^4$
  3. $5.4 \times 10^3$
  4. $5.4 \times 10^4$

Solution

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Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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