1
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
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A capacitor, $C_1 = 6 \mu F$ is charged to a potential difference of $V_0 = 5V$ using a 5V battery. The battery is removed and another capacitor, $C_2 = 12 \mu F$ is inserted in place of the battery. When the switch 'S' is closed, the charge flows between the capacitors for some time until equilibrium condition is reached. What are the charges ($q_1$ and $q_2$) on the capacitors $C_1$ and $C_2$ when equilibrium condition is reached.

JEE Main 2025 (Online) 29th January Evening Shift Physics - Capacitor Question 16 English
A

$q_1 = 10 \mu C, \ q_2 = 20 \mu C$

B

$q_1 = 15 \mu C, \ q_2 = 30 \mu C$

C

$q_1 = 20 \mu C, \ q_2 = 10 \mu C$

D

$q_1 = 30 \mu C, \ q_2 = 15 \mu C$

2
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density $\sigma_{\mathrm{o}}$. Choose the correct option from the following.

JEE Main 2025 (Online) 29th January Evening Shift Physics - Electrostatics Question 36 English
A

Torque on dipole is zero and net force is directed away from the sheet.

B

Potential energy of dipole is minimum and torque is zero.

C

Potential energy and torque both are maximum.

D

Torque on dipole is zero and net force acts towards the sheet.

3
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): JEE Main 2025 (Online) 29th January Evening Shift Physics - Center of Mass and Collision Question 6 English Three identical spheres of same mass undergo one dimensional motion as shown in figure with initial velocities $v_{\mathrm{A}}=5 \mathrm{~m} / \mathrm{s}, v_{\mathrm{B}}=2 \mathrm{~m} / \mathrm{s}, v_{\mathrm{C}}=4 \mathrm{~m} / \mathrm{s}$. If we wait sufficiently long for elastic collision to happen, then $v_{\mathrm{A}}=4 \mathrm{~m} / \mathrm{s}, v_{\mathrm{B}}=2 \mathrm{~m} / \mathrm{s}$, $v_{\mathrm{C}}=5 \mathrm{~m} / \mathrm{s}$ will be the final velocities.

Reason (R): In an elastic collision between identical masses, two objects exchange their velocities.

In the light of the above statements, choose the correct answer from the options given below:

A

Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

B

Both (A) and (R) are true and (R) is the correct explanation of (A)

C

(A) is false but (R) is true

D

(A) is true but (R) is false

4
JEE Main 2025 (Online) 29th January Evening Shift
Numerical
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$\text { A physical quantity } Q \text { is related to four observables } a, b, c, d \text { as follows : }$

$Q = \frac{ab^4}{cd}$

where, $\mathrm{a}=(60 \pm 3) \mathrm{Pa} ; \mathrm{b}=(20 \pm 0.1) \mathrm{m} ; \mathrm{c}=(40 \pm 0.2) \mathrm{Nsm}^{-2}$ and $\mathrm{d}=(50 \pm 0.1) \mathrm{m}$, then the percentage error in Q is $\frac{x}{1000}$, where $x=$ _________ .

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