JEE Main 2023 (Online) 13th April Morning Shift

Paper was held on
Thu, Apr 13, 2023 3:30 AM

## Chemistry

The radical which mainly causes ozone depletion in the presence of UV radiations is :

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In which of the following processes, the bond order increases and paramagnetic character changes to diamagnetic one ?

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Which of the following statements are not correct?
A. The electron gain enthalpy of $$\mathrm{F}$$ is more negative than

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In the following reaction 'X' is

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What happens when a lyophilic sol is added to a lyophobic sol?

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In the reaction given below
'A' is

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Which one of the following is most likely a mismatch ?

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The incorrect statement from the following for borazine is :

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The mismatched combinations are
A. Chlorophyll - Co
B. Water hardness - EDTA
C. Photography $$-\left[\mathrm{Ag}(\mathrm

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$$\mathrm{ClF}_{5}$$ at room temperature is a:

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Among the following compounds, the one which shows highest dipole moment is

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Match the following
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2-Methyl propyl bromide reacts with $$\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{O}^{-}$$ and gives 'A' whereas on reaction w

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The pair of lanthanides in which both elements have high third - ionization energy is :

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In the reaction given below
'B' is

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In the above reaction, left hand side and right hand side rings are named as '$$\mathrm{A}$$' and 'B' respectively. The

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The products formed in the above reaction are

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The energy of an electron in the first Bohr orbit of hydrogen atom is $$-2.18 \times 10^{-18} \mathrm{~J}$$. Its energy

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$$\mathrm{Be}(\mathrm{OH})_{2}$$ reacts with $$\mathrm{Sr}(\mathrm{OH})_{2}$$ to yield an ionic salt. Choose the incorre

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Given below are two statements :
Statement I : Permutit process is more efficient compared to the synthetic resin method

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$$\mathrm{KMnO}_{4}$$ is titrated with ferrous ammonium sulphate hexahydrate in presence of dilute $$\mathrm{H}_{2} \mat

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An organic compound gives $$0.220 \mathrm{~g}$$ of $$\mathrm{CO}_{2}$$ and $$0.126 \mathrm{~g}$$ of $$\mathrm{H}_{2} \ma

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$$\mathrm{t}_{87.5}$$ is the time required for the reaction to undergo $$87.5 \%$$ completion and $$\mathrm{t}_{50}$$ is

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For the given reaction
The total number of possible products formed by tertiary carbocation of A is ____________.

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$$20 \mathrm{~mL}$$ of calcium hydroxide was consumed when it was reacted with $$10 \mathrm{~mL}$$ of unknown solution o

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Solution of $$12 \mathrm{~g}$$ of non-electrolyte (A) prepared by dissolving it in $$1000 \mathrm{~mL}$$ of water exerts

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A metal surface of $$100 \mathrm{~cm}^{2}$$ area has to be coated with nickel layer of thickness $$0.001 \mathrm{~mm}$$.

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A certain quantity of real gas occupies a volume of $$0.15~ \mathrm{dm}^{3}$$ at $$100 \mathrm{~atm}$$ and $$500 \mathrm

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$$\mathrm{A}_{2}+\mathrm{B}_{2} \rightarrow 2 \mathrm{AB} . \Delta H_{f}^{0}=-200 \mathrm{~kJ} \mathrm{~mol}^{-1}$$
$$\m

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$$25.0 \mathrm{~mL}$$ of $$0.050 ~\mathrm{M} ~\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}$$ is mixed with $$25.0 \mathrm

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## Mathematics

The area of the region enclosed by the curve
$$f(x)=\max \{\sin x, \cos x\},-\pi \leq x \leq \pi$$ and the $$x$$-axis is

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Let $$\mathrm{PQ}$$ be a focal chord of the parabola $$y^{2}=36 x$$ of length 100 , making an acute angle with the posit

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Let the equation of plane passing through the line of intersection of the planes $$x+2 y+a z=2$$ and $$x-y+z=3$$ be $$5

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The negation of the statement $$((A \wedge(B \vee C)) \Rightarrow(A \vee B)) \Rightarrow A$$ is

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Let $$\vec{a}=\hat{i}+4 \hat{j}+2 \hat{k}, \vec{b}=3 \hat{i}-2 \hat{j}+7 \hat{k}$$ and $$\vec{c}=2 \hat{i}-\hat{j}+4 \ha

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For the system of linear equations
$$2 x+4 y+2 a z=b$$
$$x+2 y+3 z=4$$
$$2 x-5 y+2 z=8$$
which of the following is NOT c

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Let $$y=y_{1}(x)$$ and $$y=y_{2}(x)$$ be the solution curves of the differential equation $$\frac{d y}{d x}=y+7$$ with i

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A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tail

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Among
(S1): $$\lim_\limits{n \rightarrow \infty} \frac{1}{n^{2}}(2+4+6+\ldots \ldots+2 n)=1$$
(S2) : $$\lim_\limits{n \r

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The set of all $$a \in \mathbb{R}$$ for which the equation $$x|x-1|+|x+2|+a=0$$ has exactly one real root, is :

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$$\int_\limits{0}^{\infty} \frac{6}{e^{3 x}+6 e^{2 x}+11 e^{x}+6} d x=$$

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Let $$s_{1}, s_{2}, s_{3}, \ldots, s_{10}$$ respectively be the sum to 12 terms of 10 A.P. s whose first terms are $$1,2

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Let $$B=\left[\begin{array}{lll}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alpha & 4\end{array}\right], \alpha > 2$$ be th

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Fractional part of the number $$\frac{4^{2022}}{15}$$ is equal to

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Let the tangent and normal at the point $$(3 \sqrt{3}, 1)$$ on the ellipse $$\frac{x^{2}}{36}+\frac{y^{2}}{4}=1$$ meet t

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The distance of the point $$(-1,2,3)$$ from the plane $$\vec{r} \cdot(\hat{i}-2 \hat{j}+3 \hat{k})=10$$ parallel to the

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For $$x \in \mathbb{R}$$, two real valued functions $$f(x)$$ and $$g(x)$$ are such that, $$g(x)=\sqrt{x}+1$$ and $$f \ci

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For the differentiable function $$f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}$$, let $$3 f(x)+2 f\left(\frac{1}{x}\right)

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$$\max _\limits{0 \leq x \leq \pi}\left\{x-2 \sin x \cos x+\frac{1}{3} \sin 3 x\right\}=$$

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The number of symmetric matrices of order 3, with all the entries from the set $$\{0,1,2,3,4,5,6,7,8,9\}$$ is :

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Let $$m_{1}$$ and $$m_{2}$$ be the slopes of the tangents drawn from the point $$\mathrm{P}(4,1)$$ to the hyperbola $$H:

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Let the mean of the data
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Let $$w=z \bar{z}+k_{1} z+k_{2} i z+\lambda(1+i), k_{1}, k_{2} \in \mathbb{R}$$. Let $$\operatorname{Re}(w)=0$$ be the c

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The number of seven digit positive integers formed using the digits $$1,2,3$$ and $$4$$ only and sum of the digits equal

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The sum to $$20$$ terms of the series $$2 \cdot 2^{2}-3^{2}+2 \cdot 4^{2}-5^{2}+2 \cdot 6^{2}-\ldots \ldots$$ is equal t

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If $$S=\left\{x \in \mathbb{R}: \sin ^{-1}\left(\frac{x+1}{\sqrt{x^{2}+2 x+2}}\right)-\sin ^{-1}\left(\frac{x}{\sqrt{x^{

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Let for $$x \in \mathbb{R}, S_{0}(x)=x, S_{k}(x)=C_{k} x+k \int_{0}^{x} S_{k-1}(t) d t$$, where
$$C_{0}=1, C_{k}=1-\int

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Let $$\vec{a}=3 \hat{i}+\hat{j}-\hat{k}$$ and $$\vec{c}=2 \hat{i}-3 \hat{j}+3 \hat{k}$$. If $$\vec{b}$$ is a vector such

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Let $$\alpha$$ be the constant term in the binomial expansion of $$\left(\sqrt{x}-\frac{6}{x^{\frac{3}{2}}}\right)^{n},

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Let the image of the point $$\left(\frac{5}{3}, \frac{5}{3}, \frac{8}{3}\right)$$ in the plane $$x-2 y+z-2=0$$ be P. If

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## Physics

Match List - I with List - II
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Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's dist

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A bullet of $$10 \mathrm{~g}$$ leaves the barrel of gun with a velocity of $$600 \mathrm{~m} / \mathrm{s}$$. If the barr

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A planet having mass $$9 \mathrm{Me}$$ and radius $$4 \mathrm{R}_{\mathrm{e}}$$, where $$\mathrm{Me}$$ and $$\mathrm{Re}

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The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectio

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A vessel of depth '$$d$$' is half filled with oil of refractive index $$n_{1}$$ and the other half is filled with water

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The difference between threshold wavelengths for two metal surfaces $$\mathrm{A}$$ and $$\mathrm{B}$$ having work functi

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The rms speed of oxygen molecule in a vessel at particular temperature is $$\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v$$

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The source of time varying magnetic field may be
(A) a permanent magnet
(B) an electric field changing linearly with tim

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Two charges each of magnitude $$0.01 ~\mathrm{C}$$ and separated by a distance of $$0.4 \mathrm{~mm}$$ constitute an ele

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A disc is rolling without slipping on a surface. The radius of the disc is $$R$$. At $$t=0$$, the top most point on the

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$$_{92}^{238}A \to _{90}^{234}B + _2^4D + Q$$
In the given nuclear reaction, the approximate amount of energy released w

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Under isothermal condition, the pressure of a gas is given by $$\mathrm{P}=a \mathrm{~V}^{-3}$$, where $$a$$ is a consta

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Two trains 'A' and 'B' of length '$$l$$' and '$$4 l$$' are travelling into a tunnel of length '$$\mathrm{L}$$' in parall

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Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions :

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Different combination of 3 resistors of equal resistance $$\mathrm{R}$$ are shown in the figures. The increasing order f

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For the following circuit and given inputs A and B, choose the correct option for output '$$Y$$'

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A body of mass $$(5 \pm 0.5) ~\mathrm{kg}$$ is moving with a velocity of $$(20 \pm 0.4) ~\mathrm{m} / \mathrm{s}$$. Its

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The ratio of powers of two motors is $$\frac{3 \sqrt{x}}{\sqrt{x}+1}$$, that are capable of raising $$300 \mathrm{~kg}$$

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Two bodies are having kinetic energies in the ratio 16 : 9. If they have same linear momentum, the ratio of their masses

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When a resistance of $$5 ~\Omega$$ is shunted with a moving coil galvanometer, it shows a full scale deflection for a cu

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A fish rising vertically upward with a uniform velocity of $$8 \mathrm{~ms}^{-1}$$, observes that a bird is diving verti

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The radius of $$2^{\text {nd }}$$ orbit of $$\mathrm{He}^{+}$$ of Bohr's model is $$r_{1}$$ and that of fourth orbit of

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A potential $$\mathrm{V}_{0}$$ is applied across a uniform wire of resistance $$R$$. The power dissipation is $$P_{1}$$.

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In the given figure, an inductor and a resistor are connected in series with a battery of emf E volt. $$\frac{E^{a}}{2 b

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At a given point of time the value of displacement of a simple harmonic oscillator is given as $$\mathrm{y}=\mathrm{A} \

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A thin infinite sheet charge and an infinite line charge of respective charge densities $$+\sigma$$ and $$+\lambda$$ are

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A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of rotatio

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The elastic potential energy stored in a steel wire of length $$20 \mathrm{~m}$$ stretched through $$2 \mathrm{~cm}$$ is

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From the given transfer characteristic of a transistor in $$\mathrm{CE}$$ configuration, the value of power gain of this

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