JEE Main 2022 (Online) 26th July Morning Shift

Paper was held on
Tue, Jul 26, 2022 3:30 AM

## Chemistry

Match List-I with List-II :
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View Question Match List - I with List - II.
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View Question Given two statements below :
Statement I : In $$\mathrm{Cl}_{2}$$ molecule the covalent radius is double of the atomic r

View Question Refining using liquation method is the most suitable for metals with :

View Question Which of the following can be used to prevent the decomposition of $$\mathrm{H}_{2} \mathrm{O}_{2}$$ ?

View Question Reaction of $$\mathrm{BeCl}_{2}$$ with $$\mathrm{LiAlH}_{4}$$ gives :
(A) $$\mathrm{AlCl}_{3}$$
(B) $$\mathrm{BeH}_{2}$$

View Question Borazine, also known as inorganic benzene, can be prepared by the reaction of 3-equivalents of "$$X$$" with 6-equivalent

View Question Which of the given reactions is not an example of disproportionation reaction?

View Question The dark purple colour of $$\mathrm{KMnO}_{4}$$ disappears in the titration with oxalic acid in acidic medium. The overa

View Question $$
\stackrel{\bullet}{\mathrm{Cl}}+\mathrm{CH}_{4} \rightarrow \mathrm{A}+\mathrm{B}
$$
A and B in the above atmospheric

View Question Which technique among the following, is most appropriate in separation of a mixture of $$100 \,\mathrm{mg}$$ of $$p$$-ni

View Question The difference in the reaction of phenol with bromine in chloroform and bromine in water medium is due to :

View Question Which of the following compounds is not aromatic?

View Question The products formed in the following reaction, A and B are

View Question Which reactant will give the following alcohol on reaction with one mole of phenyl magnesium bromide $$(\mathrm{PhMgBr})

View Question The major product of the following reaction is

View Question The correct stability order of the following diazonium salt is

View Question Stearic acid and polyethylene glycol react to form which one of the following soap/s detergents ?

View Question Which one of the following is a reducing sugar?

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 Chlorophyll extracted from the crushed green leaves was dissolved in water to make $$2 \mathrm{~L}$$ solution of Mg of c

View Question A mixture of hydrogen and oxygen contains $$40 \%$$ hydrogen by mass when the pressure is $$2.2$$ bar. The partial press

View Question The wavelength of an electron and a neutron will become equal when the velocity of the electron is $$x$$ times the veloc

View Question $$2.4 \mathrm{~g}$$ coal is burnt in a bomb calorimeter in excess of oxygen at $$298 \mathrm{~K}$$ and $$1 \mathrm{~atm}

View Question When 800 mL of 0.5 M nitric acid is heated in a beaker, its volume is reduced to half and 11.5 g of nitric acid is evapo

View Question At $$298 \mathrm{~K}$$, the equilibrium constant is $$2 \times 10^{15}$$ for the reaction :
$$\mathrm{Cu}(\mathrm{s})+2

View Question The amount of charge in $$\mathrm{F}$$ (Faraday) required to obtain one mole of iron from $$\mathrm{Fe}_{3} \mathrm{O}_{

View Question For a reaction $$\mathrm{A} \rightarrow 2 \mathrm{~B}+\mathrm{C}$$ the half lives are $$100 \mathrm{~s}$$ and $$50 \math

View Question The difference between spin only magnetic moment values of $$\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}

View Question In the presence of sunlight, benzene reacts with Cl2 to give product, X. The number of hydrogens in X is _____________.

View Question ## Mathematics

Let f : R $$\to$$ R be a continuous function such that $$f(3x) - f(x) = x$$. If $$f(8) = 7$$, then $$f(14)$$ is equal to

View Question Let O be the origin and A be the point $${z_1} = 1 + 2i$$. If B is the point $${z_2}$$, $${\mathop{\rm Re}\nolimits} ({z

View Question If the system of linear equations.
$$8x + y + 4z = - 2$$
$$x + y + z = 0$$
$$\lambda x - 3y = \mu $$
has infinitely man

View Question Let A be a 2 $$\times$$ 2 matrix with det (A) = $$-$$ 1 and det ((A + I) (Adj (A) + I)) = 4. Then the sum of the diagona

View Question The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x = 0, x = ya is $${{364} \over 3}$$

View Question Consider two G.Ps. 2, 22, 23, ..... and 4, 42, 43, .... of 60 and n terms respectively. If the geometric mean of all the

View Question If the function $$f(x) = \left\{ {\matrix{
{{{{{\log }_e}(1 - x + {x^2}) + {{\log }_e}(1 + x + {x^2})} \over {\sec x

View Question If $$f(x) = \left\{ {\matrix{
{x + a} & , & {x \le 0} \cr
{|x - 4|} & , & {x > 0} \cr
} } \right.$$ and $$g(

View Question Let $$f(x) = \left\{ {\matrix{
{{x^3} - {x^2} + 10x - 7,} & {x \le 1} \cr
{ - 2x + {{\log }_2}({b^2} - 4),} & {x

View Question If $$a = \mathop {\lim }\limits_{n \to \infty } \sum\limits_{k = 1}^n {{{2n} \over {{n^2} + {k^2}}}} $$ and $$f(x) = \sq

View Question If $${{dy} \over {dx}} + 2y\tan x = \sin x,\,0

View Question A point $$P$$ moves so that the sum of squares of its distances from the points $$(1,2)$$ and $$(-2,1)$$ is 14. Let $$f(

View Question Let the tangent drawn to the parabola $$y^{2}=24 x$$ at the point $$(\alpha, \beta)$$ is perpendicular to the line $$2 x

View Question The length of the perpendicular from the point $$(1,-2,5)$$ on the line passing through $$(1,2,4)$$ and parallel to the

View Question Let $$\overrightarrow{\mathrm{a}}=\alpha \hat{i}+\hat{j}-\hat{k}$$ and $$\overrightarrow{\mathrm{b}}=2 \hat{i}+\hat{j}-\

View Question The mean and variance of a binomial distribution are $$\alpha$$ and $$\frac{\alpha}{3}$$ respectively. If $$\mathrm{P}(X

View Question Let $$\mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3}$$ be three mutually exclusive events such that $$\mathrm{P}\left(\m

View Question Let $$S=\left\{\theta \in[0,2 \pi]: 8^{2 \sin ^{2} \theta}+8^{2 \cos ^{2} \theta}=16\right\} .$$ Then $$n(s) + \sum\limi

View Question $$\tan \left(2 \tan ^{-1} \frac{1}{5}+\sec ^{-1} \frac{\sqrt{5}}{2}+2 \tan ^{-1} \frac{1}{8}\right)$$ is equal to :

View Question The statement $$(\sim(\mathrm{p} \Leftrightarrow \,\sim \mathrm{q})) \wedge \mathrm{q}$$ is :

View Question If for some $$\mathrm{p}, \mathrm{q}, \mathrm{r} \in \mathbf{R}$$, not all have same sign, one of the roots of the equat

View Question The number of 5-digit natural numbers, such that the product of their digits is 36 , is __________.

View Question The series of positive multiples of 3 is divided into sets : $$\{3\},\{6,9,12\},\{15,18,21,24,27\}, \ldots$$ Then the su

View Question The number of distinct real roots of the equation $$x^{5}\left(x^{3}-x^{2}-x+1\right)+x\left(3 x^{3}-4 x^{2}-2 x+4\right

View Question If the coefficients of $$x$$ and $$x^{2}$$ in the expansion of $$(1+x)^{\mathrm{p}}(1-x)^{\mathrm{q}}, \mathrm{p}, \math

View Question If $$\mathrm{n}(2 \mathrm{n}+1) \int_{0}^{1}\left(1-x^{\mathrm{n}}\right)^{2 \mathrm{n}} \mathrm{d} x=1177 \int_{0}^{1}\

View Question Let a curve $$y=y(x)$$ pass through the point $$(3,3)$$ and the area of the region under this curve, above the $$x$$-axi

View Question The equations of the sides $$\mathrm{AB}, \mathrm{BC}$$ and $$\mathrm{CA}$$ of a triangle $$\mathrm{ABC}$$ are $$2 x+y=0

View Question Let the function $$f(x)=2 x^{2}-\log _{\mathrm{e}} x, x>0$$, be decreasing in $$(0, \mathrm{a})$$ and increasing in $$(\

View Question Let $$\mathrm{Q}$$ and $$\mathrm{R}$$ be two points on the line $$\frac{x+1}{2}=\frac{y+2}{3}=\frac{z-1}{2}$$ at a dista

View Question ## Physics

Three masses $$M=100 \mathrm{~kg}, \mathrm{~m}_{1}=10 \mathrm{~kg}$$ and $$\mathrm{m}_{2}=20 \mathrm{~kg}$$ are arranged

View Question A radio can tune to any station in $$6 \,\mathrm{MHz}$$ to $$10 \,\mathrm{MHz}$$ band. The value of corresponding wavele

View Question The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minute. 10 minutes la

View Question A parallel beam of light of wavelength $$900 \mathrm{~nm}$$ and intensity $$100 \,\mathrm{Wm}^{-2}$$ is incident on a su

View Question In Young's double slit experiment, the fringe width is $$12 \mathrm{~mm}$$. If the entire arrangement is placed in water

View Question The magnetic field of a plane electromagnetic wave is given by :
$$
\overrightarrow{\mathrm{B}}=2 \times 10^{-8} \sin \l

View Question In a series $$L R$$ circuit $$X_{L}=R$$ and power factor of the circuit is $$P_{1}$$. When capacitor with capacitance $$

View Question A charge particle is moving in a uniform magnetic field $$(2 \hat{i}+3 \hat{j}) \,\mathrm{T}$$. If it has an acceleratio

View Question $$\mathrm{B}_{X}$$ and $$\mathrm{B}_{\mathrm{Y}}$$ are the magnetic fields at the centre of two coils $$\mathrm{X}$$ and

View Question The current I in the given circuit will be :

View Question The total charge on the system of capacitors $$C_{1}=1 \mu \mathrm{F}, C_{2}=2 \mu \mathrm{F}, \mathrm{C}_{3}=4 \mu \mat

View Question When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be :

View Question 7 mol of a certain monoatomic ideal gas undergoes a temperature increase of $$40 \mathrm{~K}$$ at constant pressure. The

View Question A monoatomic gas at pressure $$\mathrm{P}$$ and volume $$\mathrm{V}$$ is suddenly compressed to one eighth of its origin

View Question A water drop of radius $$1 \mathrm{~cm}$$ is broken into 729 equal droplets. If surface tension of water is 75 dyne/ $$\

View Question The percentage decrease in the weight of a rocket, when taken to a height of $$32 \mathrm{~km}$$ above the surface of ea

View Question As per the given figure, two blocks each of mass $$250 \mathrm{~g}$$ are connected to a spring of spring constant $$2 \,

View Question A monkey of mass $$50 \mathrm{~kg}$$ climbs on a rope which can withstand the tension (T) of $$350 \mathrm{~N}$$. If mon

View Question Two projectiles thrown at $$30^{\circ}$$ and $$45^{\circ}$$ with the horizontal respectively, reach the maximum height i

View Question A screw gauge of pitch $$0.5 \mathrm{~mm}$$ is used to measure the diameter of uniform wire of length $$6.8 \mathrm{~cm}

View Question If the initial velocity in horizontal direction of a projectile is unit vector $$\hat{i}$$ and the equation of trajector

View Question A disc of mass $$1 \mathrm{~kg}$$ and radius $$\mathrm{R}$$ is free to rotate about a horizontal axis passing through it

View Question In an experiment to determine the Young's modulus of wire of a length exactly $$1 \mathrm{~m}$$, the extension in the le

View Question When a car is approaching the observer, the frequency of horn is $$100 \mathrm{~Hz}$$. After passing the observer, it is

View Question A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $$\left(t

View Question Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length $$l_{1}$$ is $$40 \math

View Question The effective current I in the given circuit at very high frequencies will be ___________ A.

View Question The graph between $$\frac{1}{u}$$ and $$\frac{1}{v}$$ for a thin convex lens in order to determine its focal length is p

View Question In the hydrogen spectrum, $$\lambda$$ be the wavelength of first transition line of Lyman series. The wavelength differe

View Question In the circuit shown below, maximum zener diode current will be _________ $$\mathrm{mA}$$.

View Question