JEE Main 2022 (Online) 27th June Morning Shift
Paper was held on Mon, Jun 27, 2022 3:30 AM
View Questions

Chemistry

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)
View Question
Based upon VSEPR theory, match the shape (geometry) of the molecules in List-I with the molecules in List-II and select
View Question
Match List-I with List-II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:sol
View Question
Match List-I with List-II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:soli
View Question
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)
View Question
Match List-I with List-II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:soli
View Question
Addition of H2SO4 to BaO2 produces :
View Question
BeCl2 reacts with LiAlH4 to give :
View Question
Match List - I with List - II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style
View Question
Heating white phosphorus with conc. NaOH solution gives mainly :
View Question
Which of the following will have maximum stabilization due to crystal field?
View Question
Given below are two Statements: Statement I : Classical smog occurs in cool humid climate. It is a reducing mixture of s
View Question
Which of the following is structure of a separating funnel?
View Question
'A' and 'B' respectively are:
View Question
The major product of the following reaction is :
View Question
Which of the following reactions will yield benzaldehyde as a product?
View Question
Given below are two statements : Statement I : In Hofmann degradation reaction, the migration of only an alkyl group tak
View Question
Match List - I with List - II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:
View Question
L-isomer of a compound 'A' (C4H8O4) gives a positive test with [Ag(NH3)2]+. Treatment of 'A' with acetic anhydride yield
View Question
Match List - I with List - II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style
View Question
Metal deficiency defect is shown by Fe0.93O. In the crystal, some Fe2+ cations are missing and loss of positive charge i
View Question
If the uncertainty in velocity and position of a minute particle in space are, 2.4 $$\times$$ 10$$-$$26 (m s$$-$$1) and
View Question
2 g of a non-volatile non-electrolyte solute is dissolved in 200 g of two different solvents A and B whose ebullioscop
View Question
2NOCl(g) $$\rightleftharpoons$$ 2NO(g) + Cl2(g) In an experiment, 2.0 moles of NOCl was placed in a one-litre flask and
View Question
The limiting molar conductivities of NaI, NaNO3 and AgNO3 are 12.7, 12.0 and 13.3 mS m2 mol$$-$$1, respectively (all at
View Question
The rate constant for a first order reaction is given by the following equation: $$\ln k = 33.24 - {{2.0 \times {{10}^4}
View Question
The number of statements correct from the following for Copper (at. no. 29) is/are ____________. (A) Cu(II) complexes ar
View Question
Acidified potassium permanganate solution oxidises oxalic acid. The spin-only magnetic moment of the manganese product f
View Question
Two elements A and B which form 0.15 moles of A2B and AB3 type compounds. If both A2B and AB3 weigh equally, then the at
View Question
Total number of possible stereoisomers of dimethyl cyclopentane is ____________.
View Question

Mathematics

The area of the polygon, whose vertices are the non-real roots of the equation $$\overline z = i{z^2}$$ is :
View Question
Let the system of linear equations $$x + 2y + z = 2$$, $$\alpha x + 3y - z = \alpha $$, $$ - \alpha x + y + 2z = - \alp
View Question
$$x = \sum\limits_{n = 0}^\infty {{a^n},y = \sum\limits_{n = 0}^\infty {{b^n},z = \sum\limits_{n = 0}^\infty {{c^n}}
View Question
Let $${{dy} \over {dx}} = {{ax - by + a} \over {bx + cy + a}}$$, where a, b, c are constants, represent a circle passing
View Question
Let a be an integer such that $$\mathop {\lim }\limits_{x \to 7} {{18 - [1 - x]} \over {[x - 3a]}}$$ exists, where [t] i
View Question
The number of distinct real roots of x4 $$-$$ 4x + 1 = 0 is :
View Question
The lengths of the sides of a triangle are 10 + x2, 10 + x2 and 20 $$-$$ 2x2. If for x = k, the area of the triangle is
View Question
If $${\cos ^{ - 1}}\left( {{y \over 2}} \right) = {\log _e}{\left( {{x \over 5}} \right)^5},\,|y|
View Question
If $$\int {{{({x^2} + 1){e^x}} \over {{{(x + 1)}^2}}}dx = f(x){e^x} + C} $$, where C is a constant, then $${{{d^3}f} \ov
View Question
The value of the integral $$\int\limits_{ - 2}^2 {{{|{x^3} + x|} \over {({e^{x|x|}} + 1)}}dx} $$ is equal to :
View Question
If $${{dy} \over {dx}} + {{{2^{x - y}}({2^y} - 1)} \over {{2^x} - 1}} = 0$$, x, y > 0, y(1) = 1, then y(2) is equal to :
View Question
In an isosceles triangle ABC, the vertex A is (6, 1) and the equation of the base BC is 2x + y = 4. Let the point B lie
View Question
Let the eccentricity of an ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$, $$a > b$$, be $${1 \over 4
View Question
If two straight lines whose direction cosines are given by the relations $$l + m - n = 0$$, $$3{l^2} + {m^2} + cnl = 0$$
View Question
Let $$\overrightarrow a = \widehat i + \widehat j - \widehat k$$ and $$\overrightarrow c = 2\widehat i - 3\widehat j +
View Question
Five numbers $${x_1},{x_2},{x_3},{x_4},{x_5}$$ are randomly selected from the numbers 1, 2, 3, ......., 18 and are arran
View Question
Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(x = 4), then the sum of the mean and t
View Question
The value of $$\cos \left( {{{2\pi } \over 7}} \right) + \cos \left( {{{4\pi } \over 7}} \right) + \cos \left( {{{6\pi }
View Question
$${\sin ^1}\left( {\sin {{2\pi } \over 3}} \right) + {\cos ^{ - 1}}\left( {\cos {{7\pi } \over 6}} \right) + {\tan ^{ -
View Question
The boolean expression $$( \sim (p \wedge q)) \vee q$$ is equivalent to :
View Question
Let f : R $$\to$$ R be a function defined by $$f(x) = {{2{e^{2x}}} \over {{e^{2x}} + e}}$$. Then $$f\left( {{1 \over {10
View Question
If the sum of all the roots of the equation $${e^{2x}} - 11{e^x} - 45{e^{ - x}} + {{81} \over 2} = 0$$ is $${\log _e}p$$
View Question
The positive value of the determinant of the matrix A, whose Adj(Adj(A)) = $$\left( {\matrix{ {14} & {28} & { - 14}
View Question
The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between an
View Question
If the coefficient of x10 in the binomial expansion of $${\left( {{{\sqrt x } \over {{5^{{1 \over 4}}}}} + {{\sqrt 5 } \
View Question
Let $${A_1} = \left\{ {(x,y):|x| \le {y^2},|x| + 2y \le 8} \right\}$$ and $${A_2} = \left\{ {(x,y):|x| + |y| \le k} \rig
View Question
If the sum of the first ten terms of the series $${1 \over 5} + {2 \over {65}} + {3 \over {325}} + {4 \over {1025}} + {5
View Question
A rectangle R with end points of one of its sides as (1, 2) and (3, 6) is inscribed in a circle. If the equation of a di
View Question
A circle of radius 2 unit passes through the vertex and the focus of the parabola y2 = 2x and touches the parabola $$y =
View Question
Let the mirror image of the point (a, b, c) with respect to the plane 3x $$-$$ 4y + 12z + 19 = 0 be (a $$-$$ 6, $$\beta$
View Question

Physics

A projectile is launched at an angle '$$\alpha$$' with the horizontal with a velocity 20 ms$$-$$1. After 10 s, its incli
View Question
A girl standing on road holds her umbrella at 45$$^\circ$$ with the vertical to keep the rain away. If she starts runnin
View Question
A silver wire has a mass (0.6 $$\pm$$ 0.006) g, radius (0.5 $$\pm$$ 0.005) mm and length (4 $$\pm$$ 0.04) cm. The maximu
View Question
A system of two blocks of masses m = 2 kg and M = 8 kg is placed on a smooth table as shown in figure. The coefficient o
View Question
Two blocks of masses 10 kg and 30 kg are placed on the same straight line with coordinates (0, 0) cm and (x, 0) cm respe
View Question
A 72 $$\Omega$$ galvanometer is shunted by a resistance of 8 $$\Omega$$. The percentage of the total current which passe
View Question
Given below are two statements : Statement I : The law of gravitation holds good for any pair of bodies in the universe.
View Question
What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stati
View Question
The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes const
View Question
The susceptibility of a paramagnetic material is 99. The permeability of the material in Wb/A-m, is : [Permeability of f
View Question
The current flowing through an ac circuit is given by I = 5 sin(120$$\pi$$t)A How long will the current take to reach th
View Question
Match List-I with List-II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:so
View Question
An $$\alpha$$ particle and a carbon 12 atom has same kinetic energy K. The ratio of their de-Broglie wavelengths $$({\la
View Question
A force of 10 N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor i
View Question
The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its a
View Question
An observer moves towards a stationary source of sound with a velocity equal to one-fifth of the velocity of sound. The
View Question
Consider a light ray travelling in air is incident into a medium of refractive index $$\sqrt{2n}$$. The incident angle i
View Question
A hydrogen atom in its ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom wil
View Question
Identify the correct Logic Gate for the following output (Y) of two inputs A and B.
View Question
A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of
View Question
In a carnot engine, the temperature of reservoir is 527$$^\circ$$C and that of sink is 200 K. If the work done by the en
View Question
A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure)
View Question
In Young's double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen
View Question
A beam of monochromatic light is used to excite the electron in Li+ + from the first orbit to the third orbit. The wavel
View Question
A cell, shunted by a 8 $$\Omega$$ resistance, is balanced across a potentiometer wire of length 3 m. The balancing lengt
View Question
The current density in a cylindrical wire of radius 4 mm is 4 $$\times$$ 106 Am$$-$$2. The current through the outer por
View Question
A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacit
View Question
The height of a transmitting antenna at the top of a tower is 25 m and that of receiving antenna is, 49 m. The maximum d
View Question
The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the bottom having area of cross-sectio
View Question
A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bo
View Question
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12