A parallel plate capacitor having capacitance $12\, pF$ is charged by a battery to a potential difference of $10\, V$ between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant $6.5$ is slipped between the plates. The work done by the capacitor on the slab is.......$pJ$
A$692$
B$508$
C$560$
D$600$
JEE MAIN 2019, Diffcult
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B$508$
b $W = \frac{{{Q^2}}}{{2c}} - \frac{{{Q^2}}}{{2ck}}$
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