1
JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1

A parallel plate capacitor of capacitance 1 µF is charged to a potential difference of 20 V. The distance between plates is 1 µm. The energy density between plates of capacitor is :

A

$1.8 \times 10^3$ J/m3

B

$2 \times 10^2$ J/m3

C

$2 \times 10^{-4}$ J/m3

D

$1.8 \times 10^5$ J/m3

2
JEE Main 2025 (Online) 28th January Morning Shift
MCQ (Single Correct Answer)
+4
-1

Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $\mathrm{U}_1$ and $\mathrm{U}_2$, respectively. Which of the given statements is true?

JEE Main 2025 (Online) 28th January Morning Shift Physics - Capacitor Question 7 English

A
$\mathrm{C}_2>\mathrm{C}_1, \mathrm{U}_2>\mathrm{U}_1$
B
$\mathrm{C}_1>\mathrm{C}_2, \mathrm{U}_1>\mathrm{U}_2$
C
$\mathrm{C}_2>\mathrm{C}_1, \mathrm{U}_2<\mathrm{U}_1$
D
$\mathrm{C}_1>\mathrm{C}_2, \mathrm{U}_1<\mathrm{U}_2$
3
JEE Main 2025 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1

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

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

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

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

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

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

Choose the correct answer from the options given below:

A
C only
B
A only
C
B and D only
D
C and E only
4
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1

Identify the valid statements relevant to the given circuit at the instant when the key is closed.

JEE Main 2025 (Online) 23rd January Morning Shift Physics - Capacitor Question 10 English

A. There will be no current through resistor $R$.

B. There will be maximum current in the connecting wires.

C. Potential difference between the capacitor plates A and B is minimum.

D. Charge on the capacitor plates is minimum.

Choose the correct answer from the options given below:

A
A, C Only
B
C, D Only
C
A, B, D Only
D
B, C, D Only
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