JEE Main 2022 (Online) 29th July Morning Shift

Paper was held on
Fri, Jul 29, 2022 3:30 AM

## Chemistry

Which of the following pair of molecules contain odd electron molecule and an expanded octet molecule?

View Question $$
\mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightleftharpoons 2 \mathrm{NH}_{3(\mathrm{~g})}
$$
$$20 \

View Question $$100 \mathrm{~mL}$$ of $$5 \%\,(\mathrm{w} / \mathrm{v})$$ solution of $$\mathrm{NaCl}$$ in water was prepared in $$250

View Question The first ionization enthalpy of Na, Mg and Si, respectively, are : 496, 737 and $$786 \mathrm{~kJ} \mathrm{~mol}^{-1}$$

View Question In metallurgy the term "gangue" is used for :

View Question The reaction of zinc with excess of aqueous alkali, evolves hydrogen gas and gives :

View Question Lithium nitrate and sodium nitrate, when heated separately, respectively, give :

View Question Number of lone pairs of electrons in the central atom of $$\mathrm{SCl}_{2}, \mathrm{O}_{3}, \mathrm{ClF}_{3}$$ and $$\m

View Question In following pairs, the one in which both transition metal ions are colourless is :

View Question In neutral or faintly alkaline medium, $$\mathrm{KMnO}_{4}$$ being a powerful oxidant can oxidize, thiosulphate almost q

View Question Which among the following pairs has only herbicides?

View Question Which among the following is the strongest Bronsted base?

View Question Which among the following pairs of the structures will give different products on ozonolysis? (Consider the double bonds

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Considering the above reactions, the compound 'A' and compound 'B' respectively are :

View Question
Consider the above reaction sequence, the Product 'C' is :

View Question
Consider the above reaction, the compound 'A' is :

View Question
Which among the following represent reagent 'A'?

View Question Consider the following reaction sequence:
The product 'B' is :

View Question Which of the following compounds is an example of hypnotic drug?

View Question A compound 'X' is acidic and it is soluble in NaOH solution, but insoluble in NaHCO3 solution. Compound 'X' also gives v

View Question Resistance of a conductivity cell (cell constant $$129 \mathrm{~m}^{-1}$$) filled with $$74.5 \,\mathrm{ppm}$$ solution

View Question Ionic radii of cation $$\mathrm{A}^{+}$$ and anion $$\mathrm{B}^{-}$$ are 102 and $$181 \,\mathrm{pm}$$ respectively. Th

View Question The minimum uncertainty in the speed of an electron in an one dimensional region of length $$2 \mathrm{a}_{\mathrm{o}}$$

View Question When 600 mL of 0.2 M HNO3 is mixed with $$400 \mathrm{~mL}$$ of 0.1 M NaOH solution in a flask, the rise in temperature

View Question If $$\mathrm{O}_{2}$$ gas is bubbled through water at $$303 \mathrm{~K}$$, the number of millimoles of $$\mathrm{O}_{2}$

View Question If the solubility product of PbS is 8 $$\times$$ 10$$-$$28, then the solubility of PbS in pure water at 298 K is x $$\ti

View Question The reaction between X and Y is first order with respect to X and zero order with respect to Y.
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View Question In a linear tetrapeptide (Constituted with different amino acids), (number of amino acids) $$-$$ (number of peptide bond

View Question In bromination of Propyne, with Bromine, 1, 1, 2, 2-tetrabromopropane is obtained in 27% yield. The amount of 1, 1, 2, 2

View Question $$\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}$$ should be an inner orbital complex. Ignoring the pairing energy, the

View Question ## Mathematics

Let R be a relation from the set $$\{1,2,3, \ldots, 60\}$$ to itself such that $$R=\{(a, b): b=p q$$, where $$p, q \geqs

View Question If $$z=2+3 i$$, then $$z^{5}+(\bar{z})^{5}$$ is equal to :

View Question Let A and B be two $$3 \times 3$$ non-zero real matrices such that AB is a zero matrix. Then

View Question If $$\frac{1}{(20-a)(40-a)}+\frac{1}{(40-a)(60-a)}+\ldots+\frac{1}{(180-a)(200-a)}=\frac{1}{256}$$, then the maximum val

View Question If $$\lim\limits_{x \rightarrow 0} \frac{\alpha \mathrm{e}^{x}+\beta \mathrm{e}^{-x}+\gamma \sin x}{x \sin ^{2} x}=\frac

View Question The integral $$\int\limits_{0}^{\frac{\pi}{2}} \frac{1}{3+2 \sin x+\cos x} \mathrm{~d} x$$ is equal to :

View Question Let the solution curve $$y=y(x)$$ of the differential equation $$\left(1+\mathrm{e}^{2 x}\right)\left(\frac{\mathrm{d} y

View Question Let a line L pass through the point of intersection of the lines $$b x+10 y-8=0$$ and $$2 x-3 y=0, \mathrm{~b} \in \math

View Question If the foot of the perpendicular from the point $$\mathrm{A}(-1,4,3)$$ on the plane $$\mathrm{P}: 2 x+\mathrm{m} y+\math

View Question Let $$\overrightarrow{\mathrm{a}}=3 \hat{i}+\hat{j}$$ and $$\overrightarrow{\mathrm{b}}=\hat{i}+2 \hat{j}+\hat{k}$$. Let

View Question The angle of elevation of the top of a tower from a point A due north of it is $$\alpha$$ and from a point B at a distan

View Question The statement $$(p \wedge q) \Rightarrow(p \wedge r)$$ is equivalent to :

View Question Let the circumcentre of a triangle with vertices A(a, 3), B(b, 5) and C(a, b), ab > 0 be P(1,1). If the line AP intersec

View Question Let $$\hat{a}$$ and $$\hat{b}$$ be two unit vectors such that the angle between them is $$\frac{\pi}{4}$$. If $$\theta$$

View Question If $$f(\alpha)=\int\limits_{1}^{\alpha} \frac{\log _{10} \mathrm{t}}{1+\mathrm{t}} \mathrm{dt}, \alpha>0$$, then $$f\lef

View Question The area of the region
$$\left\{(x, y):|x-1| \leq y \leq \sqrt{5-x^{2}}\right\}$$ is equal to :

View Question Let the focal chord of the parabola $$\mathrm{P}: y^{2}=4 x$$ along the line $$\mathrm{L}: y=\mathrm{m} x+\mathrm{c}, \m

View Question The number of points, where the function $$f: \mathbf{R} \rightarrow \mathbf{R}$$,
$$f(x)=|x-1| \cos |x-2| \sin |x-1|+(x

View Question Let $$S=\{1,2,3, \ldots, 2022\}$$. Then the probability, that a randomly chosen number n from the set S such that $$\mat

View Question Let $$f(x)=3^{\left(x^{2}-2\right)^{3}+4}, x \in \mathrm{R}$$. Then which of the following statements are true?
$$\mathr

View Question Let $$S=\left\{\theta \in(0,2 \pi): 7 \cos ^{2} \theta-3 \sin ^{2} \theta-2 \cos ^{2} 2 \theta=2\right\}$$. Then, the su

View Question Let the mean and the variance of 20 observations $$x_{1}, x_{2}, \ldots, x_{20}$$ be 15 and 9 , respectively. For $$\alp

View Question Let a line with direction ratios $$a,-4 a,-7$$ be perpendicular to the lines with direction ratios $$3,-1,2 b$$ and $$b,

View Question Let $$a_{1}, a_{2}, a_{3}, \ldots$$ be an A.P. If $$\sum\limits_{r=1}^{\infty} \frac{a_{r}}{2^{r}}=4$$, then $$4 a_{2}$$

View Question Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of $$\left(\

View Question The number of matrices of order $$3 \times 3$$, whose entries are either 0 or 1 and the sum of all the entries is a prim

View Question Let p and p + 2 be prime numbers and let
$$
\Delta=\left|\begin{array}{ccc}
\mathrm{p} ! & (\mathrm{p}+1) ! & (\mathrm{p

View Question If $$\frac{1}{2 \times 3 \times 4}+\frac{1}{3 \times 4 \times 5}+\frac{1}{4 \times 5 \times 6}+\ldots+\frac{1}{100 \time

View Question Let $$S=\{4,6,9\}$$ and $$T=\{9,10,11, \ldots, 1000\}$$. If $$A=\left\{a_{1}+a_{2}+\ldots+a_{k}: k \in \mathbf{N}, a_{1}

View Question Let the mirror image of a circle $$c_{1}: x^{2}+y^{2}-2 x-6 y+\alpha=0$$ in line $$y=x+1$$ be $$c_{2}: 5 x^{2}+5 y^{2}+1

View Question ## Physics

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

View Question A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the tim

View Question If $$\mathrm{t}=\sqrt{x}+4$$, then $$\left(\frac{\mathrm{d} x}{\mathrm{~d} t}\right)_{\mathrm{t}=4}$$ is :

View Question A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a

View Question A ball is projected with kinetic energy E, at an angle of $$60^{\circ}$$ to the horizontal. The kinetic energy of this b

View Question Two bodies of mass $$1 \mathrm{~kg}$$ and $$3 \mathrm{~kg}$$ have position vectors $$\hat{i}+2 \hat{j}+\hat{k}$$ and $$-

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 If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the m

View Question The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves withou

View Question A spherically symmetric charge distribution is considered with charge density varying as
$$\rho(r)= \begin{cases}\rho_{0

View Question Given below are two statements.
Statement I : Electric potential is constant within and at the surface of each conductor

View Question Two metallic wires of identical dimensions are connected in series. If $$\sigma_{1}$$ and $$\sigma_{2}$$ are the conduct

View Question An alternating emf $$\mathrm{E}=440 \sin 100 \pi \mathrm{t}$$ is applied to a circuit containing an inductance of $$\fra

View Question A coil of inductance 1 H and resistance $$100 \,\Omega$$ is connected to a battery of 6 V. Determine approximately :
(a)

View Question Match List - I with List - II :
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View Question The kinetic energy of emitted electron is E when the light incident on the metal has wavelength $$\lambda$$. To double t

View Question Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) second per

View Question Find the modulation index of an AM wave having $$8 \mathrm{~V}$$ variation where maximum amplitude of the AM wave is $$9

View Question A travelling microscope has 20 divisions per $$\mathrm{cm}$$ on the main scale while its vernier scale has total 50 divi

View Question In an experiment to find out the diameter of wire using screw gauge, the following observations were noted :
(A) Screw

View Question An object is projected in the air with initial velocity u at an angle $$\theta$$. The projectile motion is such that the

View Question If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that

View Question The pressure $$\mathrm{P}_{1}$$ and density $$\mathrm{d}_{1}$$ of diatomic gas $$\left(\gamma=\frac{7}{5}\right)$$ chang

View Question One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at cons

View Question The current I flowing through the given circuit will be __________A.

View Question A closely wounded circular coil of radius 5 cm produces a magnetic field of $$37.68 \times 10^{-4} \mathrm{~T}$$ at its

View Question Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen a

View Question A wire of length $$314 \mathrm{~cm}$$ carrying current of $$14 \mathrm{~A}$$ is bent to form a circle. The magnetic mome

View Question The X-Y plane be taken as the boundary between two transparent media $$\mathrm{M}_{1}$$ and $$\mathrm{M}_{2}$$. $$\mathr

View Question If the potential barrier across a p-n junction is $$0.6 \mathrm{~V}$$. Then the electric field intensity, in the depleti

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