MHT CET 2024 Physics question

PhysicsElectrostatic Potential and CapacitanceMHT CET 2024

A parallel plate capacitor of capacitance 'C' is connected to a battery and charged to a potential difference 'V'. another capacitor of capacitance 3C is similarly charged to a potential difference 3V. the charging battery is then disconnected and capacitors are connected in parallel to each other in such a way that positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

Answer: (B)

Solution

Charges: and . Connecting the positive plate of one to the negative plate of the other makes the charges partly cancel, so the net charge is , shared over the total capacitance . The common potential is . Final energy $U =

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Question ID VK-095003