Two capacitors of capacity 4µF and 6µF are connected in series and a battery is connected to the combination. The energy stored is E1. If they are connected in parallel and if the same battery is connected to this combination the energy stored is E2. The ratio E1:E2 is

Case I E1=12×4×64+6V2Case II E2=12×10×V2;E1E2=24100=625

Two capacitors of capacity 4µF and 6µF are connected in series and a battery is connected to the combination. The energy stored is E1. If they are connected in parallel and if the same battery is connected to this combination the energy stored is E2. The ratio E1:E2 is

Case I E1=12×4×64+6V2Case II E2=12×10×V2;E1E2=24100=625

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Two capacitors of capacity 4µF and 6µF are connected in series and a battery is connected to the combination. The energy stored is E₁. If they are connected in parallel and if the same battery is connected to this combination the energy stored is E₂. The ratio E₁:E₂ is

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4 : 9

9 : 14

6 : 25

7 : 12

answer is C.

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Case I $E_{1} = \frac{1}{2} \times \frac{4 \times 6}{4 + 6} V^{2}$
Case II $E_{2} = \frac{1}{2} \times 10 \times V^{2}; \frac{E_{1}}{E_{2}} = \frac{24}{100} = \frac{6}{25}$

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Two capacitors of capacity 4µF and 6µF are connected in series and a battery is connected to the combination. The energy stored is E1. If they are connected in parallel and if the same battery is connected to this combination the energy stored is E2. The ratio E1:E2 is

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Two capacitors of capacity 4µF and 6µF are connected in series and a battery is connected to the combination. The energy stored is E₁. If they are connected in parallel and if the same battery is connected to this combination the energy stored is E₂. The ratio E₁:E₂ is