A parallel plate air capacitor of capacitance \( C \) is connected to a cell of emf \( \mathrm{V...

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A parallel plate air capacitor of capacitance \( C \) is connected to a cell of emf \( \mathrm{V} \) and then disconnected from it. A dielectric slab of dielectric constant \( k \), which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect
[AIPMT (Cancelled) 2015]
(a) The energy stored in the capacitor decreases \( k \) times
(b) The change in energy stored is \( \frac{1}{2} C V^{2}\left(\frac{1}{k}-1\right) \)
(c) The charge on the capacitor is not conserved
(d) The potential difference between the plates decreases \( k \) times
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