| ASSERTION: The dielectric constant for metals is infinity. |
| REASON: When a charged capacitor is filled completely with a metallic slab, its capacity becomes very large. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: C
Solution :
The capacitance of a capacitor filled partially with a dielectric of thickness t given by \[C=\frac{{{\varepsilon }_{0}}A}{d-t\left[ 1-\frac{1}{K} \right]}\] For metals, \[K=\infty \] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,C=\frac{{{\varepsilon }_{0}}A}{d-t}\] Now if the capacitor is filled completely with a metallic slab, then t = d \[\therefore \,\,\,\,\,\,\,\,\,C\,\,\,=\infty \]i.e. when a charged capacitor filled fully with a metallic slab, then capacitor is short circuited i.e. it will no more work as a capacitor.
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