Test Index

JEE Advanced 2026 Paper 2

Section: Mathematics

© examsnet.com

Question : 16 of 54

Marks: +1, -0

A container of height 2 m , length 2 m and breadth 1 m is made of insulating vertical walls and two large area horizontal metal plates (

\mathrm{M}_1

\mathrm{M}_2

) which extend far beyond the vertical walls in all directions. The container is partitioned into two equal chambers with a thin insulating vertical wall. The partition wall contains a small hole of cross-sectional area

\sqrt{10} \mathrm{~cm}^2

near its bottom edge. Initially the hole is closed and the left chamber of the container is completely filled with a liquid of dielectric constant

\epsilon_r=15

and the right chamber is empty (

\epsilon_r=1

t=0

, the hole is opened and the liquid flows from the left chamber to the right chamber. In both the chambers, the space above the liquid has

\epsilon_r=1

and is maintained at atmospheric pressure. The schematic of the container at a time

t>0

is shown in the figure.

[Given : acceleration due to gravity is

10 \mathrm{~ms}^{-2}

The difference in the capacitance (in F) between the metal plates at

t=0

t=500 \mathrm{~s}

(8-n) \epsilon_0

\epsilon_0

is the permittivity of free space. The value of

n

[JEE Adv 2026 P2]

Your Answer:

Go to Question:

Prev Question

Next Question