Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

Assertion : If the distance between parallel plates of a capacitor is halved and dielectric constant is three times, then the capacitance becomes 6 times.
Reason : Capacitance of the capacitor does not depend upon the nature of the dielectric material.

Options:

both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

Assertion is correct but Reason is incorrect.

both the Assertion and Reason are incorrect.

Correct Answer:

Assertion is correct but Reason is incorrect.

Explanation:

 The correct answer is option 3: Assertion is correct but Reason is incorrect.

Assertion : If the distance between parallel plates of a capacitor is halved and dielectric constant is three times, then the capacitance becomes 6 times. this is correct.

C = εoA/d and C = KεoA/d if a material of dielectric constant K is inserted between the plates.

$\frac{C_1}{C_2} = \frac{K_1}{K_2} \frac{d_2}{d_1} = \frac{1}{2} \frac{1}{3} = \frac{1}{6}$

$ C_2 = 6 C_1$


Reason:.Capacitance of the capacitor does not depend upon the nature of the dielectric material.  This is False because capacitance clearly depends on the nature of the dielectric material through the dielectric constant (K).