2025
JEE Main 2025 (Online) 8th April Evening ShiftJEE Main 2025 (Online) 7th April Evening ShiftJEE Main 2025 (Online) 7th April Morning ShiftJEE Main 2025 (Online) 4th April Evening ShiftJEE Main 2025 (Online) 4th April Morning ShiftJEE Main 2025 (Online) 3rd April Evening ShiftJEE Main 2025 (Online) 3rd April Morning ShiftJEE Main 2025 (Online) 2nd April Evening ShiftJEE Main 2025 (Online) 2nd April Morning ShiftJEE Main 2025 (Online) 29th January Evening ShiftJEE Main 2025 (Online) 29th January Morning ShiftJEE Main 2025 (Online) 28th January Evening ShiftJEE Main 2025 (Online) 28th January Morning ShiftJEE Main 2025 (Online) 24th January Evening ShiftJEE Main 2025 (Online) 24th January Morning ShiftJEE Main 2025 (Online) 23rd January Evening ShiftJEE Main 2025 (Online) 23rd January Morning ShiftJEE Main 2025 (Online) 22nd January Evening ShiftJEE Main 2025 (Online) 22nd January Morning Shift
2024
JEE Main 2024 (Online) 9th April Evening ShiftJEE Main 2024 (Online) 9th April Morning ShiftJEE Main 2024 (Online) 8th April Evening ShiftJEE Main 2024 (Online) 8th April Morning ShiftJEE Main 2024 (Online) 6th April Evening ShiftJEE Main 2024 (Online) 6th April Morning ShiftJEE Main 2024 (Online) 5th April Evening ShiftJEE Main 2024 (Online) 5th April Morning ShiftJEE Main 2024 (Online) 4th April Evening ShiftJEE Main 2024 (Online) 4th April Morning ShiftJEE Main 2024 (Online) 1st February Evening ShiftJEE Main 2024 (Online) 1st February Morning ShiftJEE Main 2024 (Online) 31st January Evening ShiftJEE Main 2024 (Online) 31st January Morning ShiftJEE Main 2024 (Online) 30th January Evening ShiftJEE Main 2024 (Online) 30th January Morning ShiftJEE Main 2024 (Online) 29th January Evening ShiftJEE Main 2024 (Online) 29th January Morning ShiftJEE Main 2024 (Online) 27th January Evening ShiftJEE Main 2024 (Online) 27th January Morning Shift
2023
JEE Main 2023 (Online) 15th April Morning ShiftJEE Main 2023 (Online) 13th April Evening ShiftJEE Main 2023 (Online) 13th April Morning ShiftJEE Main 2023 (Online) 12th April Morning ShiftJEE Main 2023 (Online) 11th April Evening ShiftJEE Main 2023 (Online) 11th April Morning ShiftJEE Main 2023 (Online) 10th April Evening ShiftJEE Main 2023 (Online) 10th April Morning ShiftJEE Main 2023 (Online) 8th April Evening ShiftJEE Main 2023 (Online) 8th April Morning ShiftJEE Main 2023 (Online) 6th April Evening ShiftJEE Main 2023 (Online) 6th April Morning ShiftJEE Main 2023 (Online) 1st February Evening ShiftJEE Main 2023 (Online) 1st February Morning ShiftJEE Main 2023 (Online) 31st January Evening ShiftJEE Main 2023 (Online) 31st January Morning ShiftJEE Main 2023 (Online) 30th January Evening ShiftJEE Main 2023 (Online) 30th January Morning ShiftJEE Main 2023 (Online) 29th January Evening ShiftJEE Main 2023 (Online) 29th January Morning ShiftJEE Main 2023 (Online) 25th January Evening ShiftJEE Main 2023 (Online) 25th January Morning ShiftJEE Main 2023 (Online) 24th January Evening ShiftJEE Main 2023 (Online) 24th January Morning Shift
2022
JEE Main 2022 (Online) 29th July Evening ShiftJEE Main 2022 (Online) 29th July Morning ShiftJEE Main 2022 (Online) 28th July Evening ShiftJEE Main 2022 (Online) 28th July Morning ShiftJEE Main 2022 (Online) 27th July Evening ShiftJEE Main 2022 (Online) 27th July Morning ShiftJEE Main 2022 (Online) 26th July Evening ShiftJEE Main 2022 (Online) 26th July Morning ShiftJEE Main 2022 (Online) 25th July Evening ShiftJEE Main 2022 (Online) 25th July Morning ShiftJEE Main 2022 (Online) 30th June Morning ShiftJEE Main 2022 (Online) 29th June Evening ShiftJEE Main 2022 (Online) 29th June Morning ShiftJEE Main 2022 (Online) 28th June Evening ShiftJEE Main 2022 (Online) 28th June Morning ShiftJEE Main 2022 (Online) 27th June Evening ShiftJEE Main 2022 (Online) 27th June Morning ShiftJEE Main 2022 (Online) 26th June Evening ShiftJEE Main 2022 (Online) 26th June Morning ShiftJEE Main 2022 (Online) 25th June Evening ShiftJEE Main 2022 (Online) 25th June Morning ShiftJEE Main 2022 (Online) 24th June Evening ShiftJEE Main 2022 (Online) 24th June Morning Shift
2021
JEE Main 2021 (Online) 1st September Evening ShiftJEE Main 2021 (Online) 31st August Evening ShiftJEE Main 2021 (Online) 31st August Morning ShiftJEE Main 2021 (Online) 27th August Evening ShiftJEE Main 2021 (Online) 27th August Morning ShiftJEE Main 2021 (Online) 26th August Evening ShiftJEE Main 2021 (Online) 26th August Morning ShiftJEE Main 2021 (Online) 27th July Evening ShiftJEE Main 2021 (Online) 27th July Morning ShiftJEE Main 2021 (Online) 25th July Evening ShiftJEE Main 2021 (Online) 25th July Morning ShiftJEE Main 2021 (Online) 22th July Evening ShiftJEE Main 2021 (Online) 20th July Evening ShiftJEE Main 2021 (Online) 20th July Morning ShiftJEE Main 2021 (Online) 18th March Evening ShiftJEE Main 2021 (Online) 18th March Morning ShiftJEE Main 2021 (Online) 17th March Evening ShiftJEE Main 2021 (Online) 17th March Morning ShiftJEE Main 2021 (Online) 16th March Evening ShiftJEE Main 2021 (Online) 16th March Morning ShiftJEE Main 2021 (Online) 26th February Evening ShiftJEE Main 2021 (Online) 26th February Morning ShiftJEE Main 2021 (Online) 25th February Evening ShiftJEE Main 2021 (Online) 25th February Morning ShiftJEE Main 2021 (Online) 24th February Evening ShiftJEE Main 2021 (Online) 24th February Morning Shift
2020
JEE Main 2020 (Online) 6th September Evening SlotJEE Main 2020 (Online) 6th September Morning SlotJEE Main 2020 (Online) 5th September Evening SlotJEE Main 2020 (Online) 5th September Morning SlotJEE Main 2020 (Online) 4th September Evening SlotJEE Main 2020 (Online) 4th September Morning SlotJEE Main 2020 (Online) 3rd September Evening SlotJEE Main 2020 (Online) 3rd September Morning SlotJEE Main 2020 (Online) 2nd September Evening SlotJEE Main 2020 (Online) 2nd September Morning SlotJEE Main 2020 (Online) 9th January Evening SlotJEE Main 2020 (Online) 9th January Morning SlotJEE Main 2020 (Online) 8th January Evening SlotJEE Main 2020 (Online) 8th January Morning SlotJEE Main 2020 (Online) 7th January Evening SlotJEE Main 2020 (Online) 7th January Morning Slot
2019
JEE Main 2019 (Online) 12th April Evening SlotJEE Main 2019 (Online) 12th April Morning SlotJEE Main 2019 (Online) 10th April Evening SlotJEE Main 2019 (Online) 10th April Morning SlotJEE Main 2019 (Online) 9th April Evening SlotJEE Main 2019 (Online) 9th April Morning SlotJEE Main 2019 (Online) 8th April Evening SlotJEE Main 2019 (Online) 8th April Morning SlotJEE Main 2019 (Online) 12th January Evening SlotJEE Main 2019 (Online) 12th January Morning SlotJEE Main 2019 (Online) 11th January Evening SlotJEE Main 2019 (Online) 11th January Morning SlotJEE Main 2019 (Online) 10th January Evening SlotJEE Main 2019 (Online) 10th January Morning SlotJEE Main 2019 (Online) 9th January Evening SlotJEE Main 2019 (Online) 9th January Morning Slot
2018
JEE Main 2018 (Online) 16th April Morning SlotJEE Main 2018 (Offline)JEE Main 2018 (Online) 15th April Evening SlotJEE Main 2018 (Online) 15th April Morning Slot
2017
JEE Main 2017 (Online) 9th April Morning SlotJEE Main 2017 (Online) 8th April Morning SlotJEE Main 2017 (Offline)
2016
JEE Main 2016 (Online) 10th April Morning SlotJEE Main 2016 (Online) 9th April Morning SlotJEE Main 2016 (Offline)
2015
JEE Main 2015 (Offline)
2014
JEE Main 2014 (Offline)
2013
JEE Main 2013 (Offline)
2012
AIEEE 2012
2011
AIEEE 2011
2010
AIEEE 2010
2009
AIEEE 2009
2008
AIEEE 2008
2007
AIEEE 2007
2006
AIEEE 2006
2005
AIEEE 2005
2004
AIEEE 2004
2003
AIEEE 2003
2002
AIEEE 2002
JEE Main 2019 (Online) 12th April Evening Slot
Paper was held on Fri, Apr 12, 2019 9:30 AM
Practice Questions
Chemistry
1
In which one of the following equilibria, Kp $$ \ne $$ KC ?
2
Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :
3
The molar solubility of Cd(OH)2 is 1.84 × 10–5 M in water. The expected solubility of Cd(OH)2 in a buffer solution of pH = 12 is :
4
Which one of the following is likely to give a precipitate with AgNO3 solution ?
5
The compound used in the treatment of lead poisoning is :
6
In comparison to boron, berylium has :
7
Consider the following reactions :
JEE Main 2019 (Online) 12th April Evening Slot Chemistry - Hydrocarbons Question 108 English
'A' is :
8
A solution is prepared by dissolving 0.6 g of urea (molar mass = 60 g mol–1) and 1.8 g of glucose (molar mass = 180 g mol–1) in 100 mL of water at 27oC. The osmotic pressure of the solution is :
(R = 0.08206 L atm K–1 mol–1)
9
Heating of 2-chloro-1-phenylbutane with EtOK/EtOH gives X as the major product. Reaction of X with Hg(OAc)2/H2O followed by NaBH4 gives Y as the major product. Y is :
10
NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation,
2N2O5(g) $$ \to $$ 4NO2(g) + O2(g).
The initial concentration of N2O5 is 3.00 mol L–1 and it is 2.75 mol L–1 after 30 minutes. The rate of formation of NO2 is :
11
Which of the given statements is INCORRECT about glycogen?
12
The pair that has similar atomic radii is :
13
The INCORRECT match in the following is :
14
Thermal decomposition of a Mn compound (X) at 513 K results in compound Y, MnO2 and gaseous product. MnO2 reacts with NaCl and concentrated H2O4 to give a pungent gas Z. X, Y and Z, respectively, are :
15
The coordination numbers of Co and Al in [Co(Cl)(en)2]Cl and K3[Al(C2O4)3], respectively, are : (en = ethane-1, 2-diamine)
16
25 g of an unknown hydrocarbon upon burning produces 88 g of CO2 and 9 g of H2O. This unknown hydrocarbon contains :
17
The decreasing order of electrical conductivity of the following aqueous solutions is :

0.1 M Formic acid (A),

0.1 M Acetic acid (B),

0.1 M Benzoic acid (C)
18
What will be the major product when m-cresol is reacted with propargyl bromide (HC$$ \equiv $$C–CH2Br) in presence of K2CO3 in acetone?
19
Among the following, the energy of 2s orbital is lowest in :
20
The IUPAC name for the following compound is : JEE Main 2019 (Online) 12th April Evening Slot Chemistry - Basics of Organic Chemistry Question 193 English
21
An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options :
Assertion (A) : Vinyl halides do not undergo nucleophilic substitution easily.
Reason (R) : Even though the intermediate carbocation is stabilized by loosely held p-electrons, the cleavage is difficult because of strong bonding.
22
In the following skew conformation of ethane, H'–C–C–H'' dihedral angle is : JEE Main 2019 (Online) 12th April Evening Slot Chemistry - Hydrocarbons Question 109 English
Mathematics
1
Let A, B and C be sets such that $$\phi $$ $$ \ne $$ A $$ \cap $$ B $$ \subseteq $$ C. Then which of the following statements is not true ?
2
If the area (in sq. units) bounded by the parabola y2 = 4$$\lambda $$x and the line y = $$\lambda $$x, $$\lambda $$ > 0, is $${1 \over 9}$$ , then $$\lambda $$ is equal to :
3
The general solution of the differential equation (y2 – x3)dx – xydy = 0 (x $$ \ne $$ 0) is : (where c is a constant of integration)
4
Let $$a \in \left( {0,{\pi \over 2}} \right)$$ be fixed. If the integral

$$\int {{{\tan x + \tan \alpha } \over {\tan x - \tan \alpha }}} dx$$ = A(x) cos 2$$\alpha $$ + B(x) sin 2$$\alpha $$ + C, where C is a

constant of integration, then the functions A(x) and B(x) are respectively :
5
If $$\alpha $$, $$\beta $$ and $$\gamma $$ are three consecutive terms of a non-constant G.P. such that the equations $$\alpha $$x 2 + 2$$\beta $$x + $$\gamma $$ = 0 and x2 + x – 1 = 0 have a common root, then $$\alpha $$($$\beta $$ + $$\gamma $$) is equal to :
6
A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60o with the line x + y = 0. Then an equation of the line L is :
7
The term independent of x in the expansion of
$$\left( {{1 \over {60}} - {{{x^8}} \over {81}}} \right).{\left( {2{x^2} - {3 \over {{x^2}}}} \right)^6}$$ is equal to :
8
If a1, a2, a3, ..... are in A.P. such that a1 + a7 + a16 = 40, then the sum of the first 15 terms of this A.P. is :
9
Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x $$ \in $$ R. If f(x) attains maximum value at $$\alpha $$ and g(x) attains minimum value at $$\beta $$, then $$\mathop {\lim }\limits_{x \to -\alpha \beta } {{\left( {x - 1} \right)\left( {{x^2} - 5x + 6} \right)} \over {{x^2} - 6x + 8}}$$ is equal to :
10
Let z $$ \in $$ C with Im(z) = 10 and it satisfies $${{2z - n} \over {2z + n}}$$ = 2i - 1 for some natural number n. Then :
11
A value of $$\theta \in \left( {0,{\pi \over 3}} \right)$$, for which
$$\left| {\matrix{ {1 + {{\cos }^2}\theta } & {{{\sin }^2}\theta } & {4\cos 6\theta } \cr {{{\cos }^2}\theta } & {1 + {{\sin }^2}\theta } & {4\cos 6\theta } \cr {{{\cos }^2}\theta } & {{{\sin }^2}\theta } & {1 + 4\cos 6\theta } \cr } } \right| = 0$$, is :
12
$$\mathop {\lim }\limits_{x \to 0} {{x + 2\sin x} \over {\sqrt {{x^2} + 2\sin x + 1} - \sqrt {{{\sin }^2}x - x + 1} }}$$ is :
13
The derivative of $${\tan ^{ - 1}}\left( {{{\sin x - \cos x} \over {\sin x + \cos x}}} \right)$$, with respect to $${x \over 2}$$ , where $$\left( {x \in \left( {0,{\pi \over 2}} \right)} \right)$$ is :
14
A value of $$\alpha $$ such that
$$\int\limits_\alpha ^{\alpha + 1} {{{dx} \over {\left( {x + \alpha } \right)\left( {x + \alpha + 1} \right)}}} = {\log _e}\left( {{9 \over 8}} \right)$$ is :
15
An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?
16
A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is equal to :
17
A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the throw results in the sum of 9, and loses Rs. 6 for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is :
18
A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :
Physics
1
The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths, $${{{\lambda _1}} \over {{\lambda _2}}}$$, of the photons emitted in this process is :
2
A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB intensity sound ? [Given reference intensity of sound as 10–12 W/m2 ]
3
A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, l1 = 30 cm and l2 = 70 cm. Then, v is equal to -
4
An electron, moving along the x-axis with an initial energy of 100 eV, enters a region of magnetic field $$\overrightarrow B = \left( {1.5 \times {{10}^{ - 3}}T} \right)\widehat k$$ at S (See figure). The field extends between x = 0 and x = 2 cm. The electron is detected at the point Q on a screen placed 8 cm away from the point S. The distance d between P and Q (on the screen) is : (electron’s charge = 1.6 × 10–19 C, mass of electron = 9.1 × 10–31 kg) JEE Main 2019 (Online) 12th April Evening Slot Physics - Magnetic Effect of Current Question 156 English
5
The number density of molecules of a gas depends on their distance r from the origin as, $$n\left( r \right) = {n_0}{e^{ - \alpha {r^4}}}$$. Then the total number of molecules is proportional to :
6
A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity . The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, v2, when falling through the same fluid, the ratio (v1/v2) equals :
7
A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to I0(I0 > Ig) by connecting a shunt resistance RA to it and (ii) into a voltmeter of range 0 to V (V = GI0) by connecting a series resistance RV to it. Then,
8
A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F = 20 N, making an angle of 30o with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is $$\mu $$ = 0.2. The difference between the accelerations of the blocks, in case (B) and case (A) will be : (g = 10 ms–2) JEE Main 2019 (Online) 12th April Evening Slot Physics - Laws of Motion Question 104 English
9
A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. The peak value of the Electric Field is 60 V/m. Which among the following is the acceptable magnetic field component in the electromagnetic wave ?
10
A diatomic gas with rigid molecules does 10 J of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process ?
11
A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to :
12
A smooth wire of length 2$$\pi $$r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed $$\omega $$ about the vertical diameter AB, as shown in figure, the bead is at rest with respect to the circular ring at position P as shown. Then the value of $$\omega $$2 is equal to - JEE Main 2019 (Online) 12th April Evening Slot Physics - Circular Motion Question 60 English
13
A system of three polarizers P1, P2, P3 is set up such that the pass axis of P3 is crossed with respect to that of P1. The pass axis of P2 is inclined at 60o to the pass axis of P3. When a beam of unpolarized light of intensity I0 is incident on P1, the intensity of light transmitted by the three polarizers is I. The ratio ($${{{I_0}} \over I}$$) equals (nearly) :
14
Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by $$\rho $$(r) = kr, where r is the distance from the centre. Two charges A and B, of –Q each, are placed on diametrically opposite points, at equal distance, $$a$$ from the centre. If A and B do not experience any force, then :
15
Consider the LR circuit shown in the figure. If the switch S is closed at t = 0 then the amount of charge that passes through the battery between t = 0 and t = $${L \over R}$$ is : JEE Main 2019 (Online) 12th April Evening Slot Physics - Alternating Current Question 141 English
16
Consider an electron in a hydrogen atom revolving in its second excited state (having radius 4.65 $$\mathop A\limits^o $$). The de-Broglie wavelength of this electron is :
17
One kg of water, at 20oC, heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of 20 $$\Omega $$. The rms voltage in the mains is 200 V. Ignoring heat loss from the kettle, time taken for water to evaporate fully, is close to : [Specific heat of water = 4200 J/(kg oC), Latent heat of water = 2260 kJ/kg]
18
A transparent cube of side, made of a material of refractive index $$\mu $$2, is immersed in a liquid of refractive index $$\mu $$1($$\mu $$1 < $$\mu $$2). A ray is incident on the face AB at an angle $$\theta $$(shown in the figure). Total internal reflection takes place at point E on the face BC. JEE Main 2019 (Online) 12th April Evening Slot Physics - Geometrical Optics Question 177 English
Then $$\theta $$ must satisfy :
19
A particle is moving with speed v = b$$\sqrt x $$ along positive x-axis. Calculate the speed of the particle at time t = $$\tau $$(assume that the particle is at origin t = 0)
20
In the given circuit, the charge on 4 $$\mu $$F capacitor will be : JEE Main 2019 (Online) 12th April Evening Slot Physics - Capacitor Question 113 English
21
Figure shows a DC voltage regulator circuit, with a Zener diode of breakdown voltage = 6V. If the unregulated input voltage varies between 10 V to 16 V, then what is maximum Zener current? JEE Main 2019 (Online) 12th April Evening Slot Physics - Semiconductor Question 157 English
22
Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights, h1 and h2. Which of the following is correct ?
23
Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1 m (as shown in the figure). The (x, y) coordinates of the centre of mass will be : JEE Main 2019 (Online) 12th April Evening Slot Physics - Center of Mass and Collision Question 84 English
24
The ratio of the weights of a body on the Earth’s surface to that on the surface of a planets is 9 : 4. The mass of the planet is $${1 \over 9}$$ th of that of the Earth. If 'R' is the radius of the Earth, what is the radius of the planet ? (Take the planets to have the same mass density)
25
A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths l1 and l2 where, l1 = nl2 and n is an integer. The ratio k1/k2 of the corresponding force constant, k1 and k2 will be :
26
Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a current of 5A. (See figure) ($$\mu $$0 = 4$$\pi $$ × 10–7 N-A–2) JEE Main 2019 (Online) 12th April Evening Slot Physics - Magnetic Effect of Current Question 155 English