JEE Main 2026 (Online) 24th January Morning Shift
JEE Main / 25 questions
2026Sat, Jan 24, 2026 3:30 AM25 PYQs
1Alternating Current
For the series LCR circuit connected with $220 \mathrm{~V}, 50 \mathrm{~Hz}$ a.c source as shown in the figure, the power factor is $\frac{\alpha}{10}$. The value of $\alpha$ is $\_\_\_\_$ .
MCQ+4 / -12026
2Atoms And Nuclei
Given below are two statements :
Statement I : For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon.
Statement II : For all elements, nuclei with less binding energy per nucleon transforms to nuclei w...
Statement I : For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon.
Statement II : For all elements, nuclei with less binding energy per nucleon transforms to nuclei w...
MCQ+4 / -12026
3Atoms And Nuclei
Two electrons are moving in orbits of two hydrogen like atoms with speeds $3 \times 10^5 \mathrm{~m} / \mathrm{s}$ and $2.5 \times 10^5 \mathrm{~m} / \mathrm{s}$ respectively. If the radii of these orbits are nearly same then the possible o...
MCQ+4 / -12026
4Current Electricity
Two resistors of $100 \Omega$ each are connected in series with a 9 V battery. A voltmeter of $400 \Omega$ resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is $\_\_\_\_$ V.
MCQ+4 / -12026
5Current Electricity
Two resistors $2 \Omega$ and $3 \Omega$ are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire $X Y$. When an unknown resistor is connected in parallel with $3 \Om...
MCQ+4 / -12026
6Electromagnetic Induction
\(\text { Match the LIST-I with LIST-II }\)
List-I
List-II
A.
Magnetic induction
I.
M
L
MCQ+4 / -12026
List-I
List-II
A.
Magnetic induction
I.
7Electromagnetic Waves
\text { Match the LIST-I with LIST-II }
List-I
List-II
A.
Radio-wave
I.
is produced by Magnetron valve
B.
Micro-wave
II.
due to change in the vibrational modes of atoms
C.
Infrared-wave
III.
due to inner shell...
List-I
List-II
A.
Radio-wave
I.
is produced by Magnetron valve
B.
Micro-wave
II.
due to change in the vibrational modes of atoms
C.
Infrared-wave
III.
due to inner shell...
MCQ+4 / -12026
8Electronic Devices
A voltage regulating circuit consisting of Zener diode, having break-down voltage of 10 V and maximum power dissipation of 0.4 W , is operated at 15 V . The approximate value of protective resistance in this circuit is $\_\_\_\_$ $\Omega$.
INTEGER+4 / -12026
9Electrostatics
There are three co-centric conducting spherical shells $A, B$ and $C$ of radii $a, b$ and $c$ respectively ( $c>b>a$ ) and they are charged with charge $q_1, q_2$ and $q_3$ respectively. The potentials of the spheres $A, B$ and $C$ respecti...
MCQ+4 / -12026
10Electrostatics
The electrostatic potential in a charged spherical region of radius $r$ varies as $V=a r^3+b$, where $a$ and $b$ are constants. The total charge in the sphere of unit radius is $\alpha \times \pi a \in_0$. The value of $\alpha$ is $\_\_\_\_...
MCQ+4 / -12026
11Electrostatics
Three charges $+2 q,+3 q$ and $-4 q$ are situated at $(0,-3 a),(2 a, 0)$ and $(-2 a, 0)$ respectively in the $x y$ plane. The resultant dipole moment about origin is $\_\_\_\_$ .
MCQ+4 / -12026
12Geometrical Optics
The exit surface of a prism with refractive index $n$ is coated with a material having refractive index $\frac{n}{2}$. When this prism is set for minimum angle of deviation, it exactly meets the condition of critical angle. The prism angle ...
MCQ+4 / -12026
13Geometrical Optics
An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and $2 \sqrt{3}$ (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular t...
MCQ+4 / -12026
14Geometrical Optics
In a microscope of tube length 10 cm two convex lenses are arranged with focal length of 2 cm and 5 cm . Total magnification obtained with this system for normal adjustment is $(5)^k$. The value of $k$ is $\_\_\_\_$ .
MCQ+4 / -12026
15Gravitation
Three masses $200 \mathrm{~kg}, 300 \mathrm{~kg}$ and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m . They are rearranged on the vertices of a bigger triangle of side 25 m and with the same centre. The work do...
MCQ+4 / -12026
16Heat And Thermodynamics
Density of water at $4^{\circ} \mathrm{C}$ and $20^{\circ} \mathrm{C}$ are $1000 \mathrm{~kg} / \mathrm{m}^3$ and $998 \mathrm{~kg} / \mathrm{m}^3$ respectively. The increase in internal energy of 4 kg of water when it is heated from $4^{\c...
MCQ+4 / -12026
17Heat And Thermodynamics
A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature $50^{\circ} \mathrm{C}$. The gas is now heated to double its temperature. The modified pressure is $\_\_\_\_$ Pa .
INTEGER+4 / -12026
18Laws Of Motion
In the given figure the blocks $A, B$ and $C$ weigh $4 \mathrm{~kg}, 6 \mathrm{~kg}$ and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5 . The force $\vec{F}$ required to slide the block $C$ with cons...
INTEGER+4 / -12026
19Magnetic Properties Of Matter
A short bar magnet placed with its axis at $30^{\circ}$ with an external field of 800 Gauss, experiences a torque of $0.016 \mathrm{~N} . \mathrm{m}$. The work done in moving it from most stable to most unstable position is $\alpha \times 1...
INTEGER+4 / -12026
20Motion In A Plane
A boy throws a ball into air at $45^{\circ}$ from the horizontal to land it on a roof of a building of height $H$. If the ball attains maximum height in 2 s and lands on the building in 3 s after launch, then value of $H$ is $\_\_\_\_$ m.
$...
$...
MCQ+4 / -12026
21Properties Of Matter
A brass wire of length 2 m and radius 1 mm at $27^{\circ} \mathrm{C}$ is held taut between two rigid supports. Initially it was cooled to a temperature of $-43^{\circ} \mathrm{C}$ creating a tension $T$ in the wire. The temperature to which...
MCQ+4 / -12026
22Properties Of Matter
Sixty four rain drops of radius 1 mm each falling down with a terminal velocity of $10 \mathrm{~cm} / \mathrm{s}$ coalesce to form a bigger drop. The terminal velocity of bigger drop is
$\_\_\_\_$ $\mathrm{cm} / \mathrm{s}$.
$\_\_\_\_$ $\mathrm{cm} / \mathrm{s}$.
INTEGER+4 / -12026
23Rotational Motion
Two masses 400 g and 350 g are suspended from the ends of a light string passing over a heavy pulley of radius 2 cm . When released from rest the heavier mass is observed to fall 81 cm in 9 s . The rotational inertia of the pulley is $\_\_\...
MCQ+4 / -12026
24Simple Harmonic Motion
A cylindrical block of mass $M$ and area of cross section $A$ is floating in a liquid of density $\rho$ and with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is $\_\_\_\_$
MCQ+4 / -12026
25Simple Harmonic Motion
A spring of force constant $15 \mathrm{~N} / \mathrm{m}$ is cut into two pieces. If the ratio of their length is $1: 3$, then the force constant of smaller piece is $\_\_\_\_$ $\mathrm{N} / \mathrm{m}$.
MCQ+4 / -12026