Physics Question from JEE Main 2025 · 24 January, Shift 1

A parallel plate capacitor was made with two rectangular plates, each with a length of $l = 3 \, \text{cm}$ and breadth of $b = 1 \, \text{cm}$. The distance between the plates is $3 \, \mu\text{m}$. Out of the following, which are the ways to increase the capacitance by a factor of $10$?

A. $l = 30 \, \text{cm}, \; b = 1 \, \text{cm}, \; d = 1 \, \mu\text{m}$

B. $l = 3 \, \text{cm}, \; b = 1 \, \text{cm}, \; d = 30 \, \mu\text{m}$

C. $l = 6 \, \text{cm}, \; b = 5 \, \text{cm}, \; d = 3 \, \mu\text{m}$

D. $l = 1 \, \text{cm}, \; b = 1 \, \text{cm}, \; d = 10 \, \mu\text{m}$

E. $l = 5 \, \text{cm}, \; b = 2 \, \text{cm}, \; d = 1 \, \mu\text{m}$

Choose the correct answer from the options given below: