| Assertion (A): When the distance between the parallel plates of a parallel plate capacitor is halved and the dielectric constant of the dielectric used is made three times, then the capacitance becomes three times. |
| Reason (R): Capacitance does not depend on the nature of material. |
A) Both A and R are true and R is the correct explanation of A
B) Both A and R are true but R is NOT the correct explanation of A
C) A is true but R is false
D) A is fake and R is True
Correct Answer: B
Solution :
| Option [b] is correct |
| Explanation: Initial capacitance=\[{{\operatorname{C}}_{1}}=\frac{A{{\varepsilon }_{0}}k}{d}\] |
| Finally the capacitance \[{{\operatorname{C}}_{2}}=\frac{A{{\varepsilon }_{0}}3k}{(d/2)}\] |
| So,\[{{\operatorname{C}}_{2}}=6{{C}_{1}}\] |
| Hence the assertion is true. |
| From the expression of the capacitance, we find that capacitance depends on the area of the plates/ dielectric constant and the distance between the plates. It does not depend on the nature of the material of the plates. Hence the reason is also true. |
| But the reason cannot explain the assertion. |
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