Two spheres of radius 12cm and16cm have equal charge. The ratio of their energies is

3:4

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4:3

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2:1

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1:2

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Solution

The correct option is B 4:3
Energy stored in a capacitor $U = \frac{1}{2} \frac{q^{2}}{C}$
Capacitance of sphere $= 4 π ϵ_{0} r$

$U \propto \frac{1}{C} \Rightarrow U \propto \frac{1}{r}$

$\frac{U_{1}}{U_{2}} = \frac{r_{2}}{r_{1}} = \frac{16}{12} = \frac{4}{3} \Rightarrow \frac{U_{1}}{U_{2}} = \frac{4}{3}$

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