JEE Main 2022 (Online) 25th July Evening Shift

Paper was held on
Mon, Jul 25, 2022 9:30 AM

## Chemistry

Match List I with List II:
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Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y, respectively in 1 kg of water. The

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$${K_{{a_1}}}$$, $${K_{{a_2}}}$$ and $${K_{{a_3}}}$$ are the respective ionization constants for the following reactions

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The molar conductivity of a conductivity cell filled with 10 moles of 20 mL NaCl solution is $${\Lambda _{m1}}$$ and tha

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For micelle formation, which of the following statements are correct?
A. Micelle formation is an exothermic process.
B.

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The first ionization enthalpies of Be, B, N and O follow the order

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Given below are two statements.
Statement I : Pig iron is obtained by heating cast iron with scrap iron.
Statement II :

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High purity (> 99.95%) dihydrogen is obtained by

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The correct order of density is

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The total number of acidic oxides from the following list is
NO, N2O, B2O3, N2O5, CO, SO3, P4O10

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The correct order of energy of absorption for the following metal complexes is
A : [Ni(en)3]2+ , B : [Ni(NH3)6]2+ , C :

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Match List I with List II:
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Major product of the following reaction is

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What is the major product of the following reaction?

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Arrange the following in decreasing acidic strength.

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$$C{H_3} - C{H_2} - CN\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_{Ether}^{C{H_3}MgBr}} A\buildrel {{H_3}{O^ + }}

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Match List I with List II :
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Glycosidic linkage between C1 of $$\alpha$$-glucose and C2 of $$\beta$$-fructose is found in

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Some drugs bind to a site other than the active site of an enzyme. This site is known as

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In base vs. acid titration, at the end point methyl orange is present as

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56.0 L of nitrogen gas is mixed with excess hydrogen gas and it is found that 20 L of ammonia gas is produced. The volum

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A sealed flask with a capacity of 2 dm3 contains 11 g of propane gas. The flask is so weak that it will burst if the pre

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When the excited electron of a H atom from n = 5 drops to the ground state, the maximum number of emission lines observe

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While performing a thermodynamics experiment, a student made the following observations.
HCl + NaOH $$\to$$ NaCl + H2O $

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For the decomposition of azomethane.
CH3N2CH3(g) $$\to$$ CH3CH3(g) + N2(g), a first order reaction, the variation in par

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The sum of number of lone pairs of electrons present on the central atoms of XeO3, XeOF4 and XeF6, is ______________

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The spin-only magnetic moment value of M3+ ion (in gaseous state) from the pairs Cr3+ / Cr2+, Mn3+ / Mn2+, Fe3+ / Fe2+ a

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A sample of 4.5 mg of an unknown monohydric alcohol, R-OH was added to methylmagnesium iodide. A gas is evolved and is c

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The separation of two coloured substances was done by paper chromatography. The distances travelled by solvent front, su

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The total number of monobromo derivatives formed by he alkanes with molecular formula C5H12 is (excluding stereo isomers

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## Mathematics

For $$z \in \mathbb{C}$$ if the minimum value of $$(|z-3 \sqrt{2}|+|z-p \sqrt{2} i|)$$ is $$5 \sqrt{2}$$, then a value Q

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The number of real values of $$\lambda$$, such that the system of linear equations
2x $$-$$ 3y + 5z = 9
x + 3y $$-$$ z =

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The number of bijective functions $$f:\{1,3,5,7, \ldots, 99\} \rightarrow\{2,4,6,8, \ldots .100\}$$, such that $$f(3) \

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The remainder when $$(11)^{1011}+(1011)^{11}$$ is divided by 9 is

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The sum $$\sum\limits_{n = 1}^{21} {{3 \over {(4n - 1)(4n + 3)}}} $$ is equal to

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$$\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{8 \sqrt{2}-(\cos x+\sin x)^{7}}{\sqrt{2}-\sqrt{2} \sin 2 x}$$ is equal

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$$\mathop {\lim }\limits_{n \to \infty } {1 \over {{2^n}}}\left( {{1 \over {\sqrt {1 - {1 \over {{2^n}}}} }} + {1 \over

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If $$A$$ and $$B$$ are two events such that $$P(A)=\frac{1}{3}, P(B)=\frac{1}{5}$$ and $$P(A \cup B)=\frac{1}{2}$$, then

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Let $$[t]$$ denote the greatest integer less than or equal to $$t$$. Then the value of the integral $$\int_{-3}^{101}\le

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Let the point $$P(\alpha, \beta)$$ be at a unit distance from each of the two lines $$L_{1}: 3 x-4 y+12=0$$, and $$L_{2}

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Let a smooth curve $$y=f(x)$$ be such that the slope of the tangent at any point $$(x, y)$$ on it is directly proportion

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If the ellipse $$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$$ meets the line $$\frac{x}{7}+\frac{y}{2 \sqrt{6}}=1$$ on th

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The tangents at the points $$A(1,3)$$ and $$B(1,-1)$$ on the parabola $$y^{2}-2 x-2 y=1$$ meet at the point $$P$$. Then

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Let the foci of the ellipse $$\frac{x^{2}}{16}+\frac{y^{2}}{7}=1$$ and the hyperbola $$\frac{x^{2}}{144}-\frac{y^{2}}{\a

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A plane $$E$$ is perpendicular to the two planes $$2 x-2 y+z=0$$ and $$x-y+2 z=4$$, and passes through the point $$P(1,-

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The shortest distance between the lines $$\frac{x+7}{-6}=\frac{y-6}{7}=z$$ and $$\frac{7-x}{2}=y-2=z-6$$ is

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Let $$\vec{a}=\hat{i}-\hat{j}+2 \hat{k}$$ and let $$\vec{b}$$ be a vector such that $$\vec{a} \times \vec{b}=2 \hat{i}-\

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If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24, arranged in the ascending order, is 6 th

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$$2 \sin \left(\frac{\pi}{22}\right) \sin \left(\frac{3 \pi}{22}\right) \sin \left(\frac{5 \pi}{22}\right) \sin \left(\f

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Consider the following statements:
P : Ramu is intelligent.
Q : Ramu is rich.
R : Ramu is not honest.
The negation of th

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Let $$A=\{1,2,3,4,5,6,7\}$$. Define $$B=\{T \subseteq A$$ : either $$1 \notin T$$ or $$2 \in T\}$$ and $$C=\{T \subseteq

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Let $$f(x)$$ be a quadratic polynomial with leading coefficient 1 such that $$f(0)=p, p \neq 0$$, and $$f(1)=\frac{1}{3}

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Let $$A=\left[\begin{array}{lll}
1 & a & a \\
0 & 1 & b \\
0 & 0 & 1
\end{array}\right], a, b \in \mathbb{R}$$. If for s

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The sum of the maximum and minimum values of the function $$f(x)=|5 x-7|+\left[x^{2}+2 x\right]$$ in the interval $$\lef

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Let $$y=y(x)$$ be the solution of the differential equation
$$\frac{d y}{d x}=\frac{4 y^{3}+2 y x^{2}}{3 x y^{2}+x^{3}},

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Let $$f$$ be a twice differentiable function on $$\mathbb{R}$$. If $$f^{\prime}(0)=4$$ and $$f(x) + \int\limits_0^x {(x

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Let $${a_n} = \int_{ - 1}^n {\left( {1 + {x \over 2} + {{{x^2}} \over 3} + \,\,.....\,\, + \,\,{{{x^{n - 1}}} \over n}}

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If the circles $${x^2} + {y^2} + 6x + 8y + 16 = 0$$ and $${x^2} + {y^2} + 2\left( {3 - \sqrt 3 } \right)x + 2\left( {4 -

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Let the area enclosed by the x-axis, and the tangent and normal drawn to the curve $$4{x^3} - 3x{y^2} + 6{x^2} - 5xy - 8

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Let $$x = \sin (2{\tan ^{ - 1}}\alpha )$$ and $$y = \sin \left( {{1 \over 2}{{\tan }^{ - 1}}{4 \over 3}} \right)$$. If $

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## Physics

In AM modulation, a signal is modulated on a carrier wave such that maximum and minimum amplitudes are found to be 6 V a

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The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound a

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A drop of liquid of density $$\rho$$ is floating half immersed in a liquid of density $${\sigma}$$ and surface tension $

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Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms$$-$$1 collide and rebound with the same

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For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions. What additional

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Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting

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The ratio of wavelengths of proton and deuteron accelerated by potential Vp and Vd is 1 : $$\sqrt2$$. Then the ratio of

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For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance

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Light wave travelling in air along x-direction is given by $${E_y} = 540\sin \pi \times {10^4}(x - ct)\,V{m^{ - 1}}$$.

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When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works

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An electron with energy 0.1 keV moves at right angle to the earth's magnetic field of 1 $$\times$$ 10$$-$$4 Wbm$$-$$2. T

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A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the points A and B

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The length of a seconds pendulum at a height h = 2R from earth surface will be:
(Given R = Radius of earth and accelerat

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Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture

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Let $$\eta_{1}$$ is the efficiency of an engine at $$T_{1}=447^{\circ} \mathrm{C}$$ and $$\mathrm{T}_{2}=147^{\circ} \ma

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An object is taken to a height above the surface of earth at a distance $${5 \over 4}$$ R from the centre of the earth.

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A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms$$-$$1 gets embedded i

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A ball is projected from the ground with a speed 15 ms$$-$$1 at an angle $$\theta$$ with horizontal so that its range an

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The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit ar

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Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength $$\lambda$$. The value of

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A particle is moving in a straight line such that its velocity is increasing at 5 ms$$-$$1 per meter. The acceleration o

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Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular

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A block of ice of mass 120 g at temperature 0$$^\circ$$C is put in 300 g of water at 25$$^\circ$$C. The x g of ice melts

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$${x \over {x + 4}}$$ is the ratio of energies of photons produced due to transition of an electron of hydrogen atom fro

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In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire. This cell is now rep

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Two ideal diodes are connected in the network as shown in figure. The equivalent resistance between A and B is _________

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Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are super

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Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential diff

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A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The

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Magnetic flux (in weber) in a closed circuit of resistance 20 $$\Omega$$ varies with time t(s) at $$\phi$$ = 8t2 $$-$$ 9

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