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Assertion : When a metallic plate is par...

Assertion : When a metallic plate is partially inserted between the plates of a capacitor its capacity increases.
Reason : If conductivity of conducting plate is more, then increase in capacity will be more.

A

If both Assertion and Reason are true and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are true but Reason is not correct explanation of Assertion.

C

If Assertion is true but Reason is false.

D

If Assertion is false but Reason is true.

Text Solution

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The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understanding the Assertion The assertion states: "When a metallic plate is partially inserted between the plates of a capacitor, its capacity increases." **Explanation:** When a metallic plate is inserted between the plates of a capacitor, it effectively reduces the distance between the plates. The capacitance \( C \) of a parallel plate capacitor is given by the formula: \[ C = \frac{A \epsilon_0}{d} \] where: - \( C \) is the capacitance, - \( A \) is the area of the plates, - \( \epsilon_0 \) is the permittivity of free space, - \( d \) is the separation between the plates. When a metallic plate is inserted, it reduces the effective distance \( d \) between the plates, which increases the capacitance. ### Step 2: Understanding the Reason The reason states: "If the conductivity of the conducting plate is more, then the increase in capacity will be more." **Explanation:** The capacitance of a capacitor does not depend on the conductivity of the material inserted between the plates. The formula for capacitance when a metallic plate is inserted does not include conductivity as a factor. Therefore, the increase in capacitance is solely due to the reduction in the distance between the capacitor plates, not the conductivity of the inserted plate. ### Conclusion - The assertion is **true**: inserting a metallic plate increases the capacitance. - The reason is **false**: the increase in capacitance does not depend on the conductivity of the metallic plate. ### Final Answer - Assertion: True - Reason: False ---
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