JEE Main 2023 (Online) 11th April Morning Shift

Paper was held on
Tue, Apr 11, 2023 3:30 AM

## Chemistry

The polymer $$\mathrm{X}$$ - consists of linear molecules and is closely packed. It is prepared in the presence of triet

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Find out the correct statement from the options given below for the above 2 reactions.

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'A' and 'B' in the above reactions are:

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The complex that dissolves in water is

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Given below are two statements:
Statement-I : Methane and steam passed over a heated $$\mathrm{Ni}$$ catalyst produces h

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In the extraction process of copper, the product obtained after carrying out the reactions
(i) $$2 \mathrm{Cu}_{2} \math

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : In

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Match List - I with List - II:
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For elements $$\mathrm{B}, \mathrm{C}, \mathrm{N}, \mathrm{Li}, \mathrm{Be}, \mathrm{O}$$ and $$\mathrm{F}$$, the correc

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$$25 \mathrm{~mL}$$ of silver nitrate solution (1M) is added dropwise to $$25 \mathrm{~mL}$$ of potassium iodide $$(1.05

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When a solution of mixture having two inorganic salts was treated with freshly prepared ferrous sulphate in acidic mediu

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Given below are two statements:
Statement I : If BOD is 4 ppm and dissolved oxygen is 8 ppm, then it is a good quality w

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Match List-I with List-II:
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.tg td{border-color:black;border-style:sol

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Thin layer chromatography of a mixture shows the following observation:
The correct order of elution in the silica gel

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'X' is

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For compound having the formula $$\mathrm{GaAlCl}_{4}$$, the correct option from the following is

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The set which does not have ambidentate ligand(s) is :

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L-isomer of tetrose $$\mathrm{X}\left(\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}_{4}\right)$$ gives positive Schiff's test

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Which of the following complex has a possibility to exist as meridional isomer?

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Arrange the following compounds in increasing order of rate of aromatic electrophilic substitution reaction

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A solution of sugar is obtained by mixing $$200 \mathrm{~g}$$ of its $$25 \%$$ solution and $$500 \mathrm{~g}$$ of its $

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0.004 M K$$_2$$SO$$_4$$ solution is isotonic with 0.01 M glucose solution. Percentage dissociation of K$$_2$$SO$$_4$$ is

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The ratio of spin-only magnetic moment values $$\mu_{\text {eff }}\left[\mathrm{Cr}(\mathrm{CN})_{6}\right]^{3-} / \mu_{

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An atomic substance A of molar mass $$12 \mathrm{~g} \mathrm{~mol}^{-1}$$ has a cubic crystal structure with edge length

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$$\mathrm{KClO}_{3}+6 \mathrm{FeSO}_{4}+3 \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{KCl}+3 \mathrm{Fe}_{2}\left

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The number of hyperconjugation structures involved to stabilize carbocation formed in the above reaction is _________.

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The ratio x/y on completion of the above reaction is __________.

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A mixture of 1 mole of $$\mathrm{H}_{2} \mathrm{O}$$ and 1 mole of $$\mathrm{CO}$$ is taken in a 10 litre container and

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Solid fuel used in rocket is a mixture of $$\mathrm{Fe}_{2} \mathrm{O}_{3}$$ and $$\mathrm{Al}$$ (in ratio 1 : 2). The h

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In an electrochemical reaction of lead, at standard temperature, if $$\mathrm{E}^{0}\left(\mathrm{~Pb}^{2+} / \mathrm{Pb

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## Mathematics

Let R be a rectangle given by the lines $$x=0,y=0$$ and $$y=5$$. Let A$$(\alpha,0)$$ and B$$(0,\beta),\alpha\in[0,2]$$ a

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Let $$S=\left\{M=\left[a_{i j}\right], a_{i j} \in\{0,1,2\}, 1 \leq i, j \leq 2\right\}$$ be a sample space and $$A=\{M

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Let $$x_{1}, x_{2}, \ldots, x_{100}$$ be in an arithmetic progression, with $$x_{1}=2$$ and their mean equal to 200 . If

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Let $$w_{1}$$ be the point obtained by the rotation of $$z_{1}=5+4 i$$ about the origin through a right angle in the ant

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Let $$y=y(x)$$ be a solution curve of the differential equation.
$$\left(1-x^{2} y^{2}\right) d x=y d x+x d y$$.
If the

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Let $$(\alpha, \beta, \gamma)$$ be the image of the point $$\mathrm{P}(2,3,5)$$ in the plane $$2 x+y-3 z=6$$. Then $$\al

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The value of the integral $$\int_\limits{-\log _{e} 2}^{\log _{e} 2} e^{x}\left(\log _{e}\left(e^{x}+\sqrt{1+e^{2 x}}\ri

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Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5 and 8 respectively and the vari

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For any vector $$\vec{a}=a_{1} \hat{i}+a_{2} \hat{j}+a_{3} \hat{k}$$, with $$10\left|a_{i}\right|
(A): $$\max \left\{\le

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Let $$\mathrm{A}$$ be a $$2 \times 2$$ matrix with real entries such that $$\mathrm{A}'=\alpha \mathrm{A}+\mathrm{I}$$,

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Let $$f(x)=\left[x^{2}-x\right]+|-x+[x]|$$, where $$x \in \mathbb{R}$$ and $$[t]$$ denotes the greatest integer less tha

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If equation of the plane that contains the point $$(-2,3,5)$$ and is perpendicular to each of the planes $$2 x+4 y+5 z=8

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Consider ellipses $$\mathrm{E}_{k}: k x^{2}+k^{2} y^{2}=1, k=1,2, \ldots, 20$$. Let $$\mathrm{C}_{k}$$ be the circle whi

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Area of the region $$\left\{(x, y): x^{2}+(y-2)^{2} \leq 4, x^{2} \geq 2 y\right\}$$ is

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Let $$\vec{a}$$ be a non-zero vector parallel to the line of intersection of the two planes described by $$\hat{i}+\hat{

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The number of triplets $$(x, \mathrm{y}, \mathrm{z})$$, where $$x, \mathrm{y}, \mathrm{z}$$ are distinct non negative in

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Let $$f:[2,4] \rightarrow \mathbb{R}$$ be a differentiable function such that $$\left(x \log _{e} x\right) f^{\prime}(x)

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The number of integral solutions $$x$$ of $$\log _{\left(x+\frac{7}{2}\right)}\left(\frac{x-7}{2 x-3}\right)^{2} \geq 0$

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The number of elements in the set
$$S=\left\{\theta \in[0,2 \pi]: 3 \cos ^{4} \theta-5 \cos ^{2} \theta-2 \sin ^{6} \the

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An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event '$$\mathrm{C}$$'. If these medals went t

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Let $$A=\left[\begin{array}{lll}0 & 1 & 2 \\ a & 0 & 3 \\ 1 & c & 0\end{array}\right]$$, where $$a, c \in \mathbb{R}$$.

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Let $$\mathrm{H}_{\mathrm{n}}: \frac{x^{2}}{1+n}-\frac{y^{2}}{3+n}=1, n \in N$$. Let $$\mathrm{k}$$ be the smallest even

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For $$m, n > 0$$, let $$\alpha(m, n)=\int_\limits{0}^{2} t^{m}(1+3 t)^{n} d t$$. If $$11 \alpha(10,6)+18 \alpha(11,5)=p(

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The number of ordered triplets of the truth values of $$p, q$$ and $$r$$ such that the truth value of the statement $$(p

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Let $$S=109+\frac{108}{5}+\frac{107}{5^{2}}+\ldots .+\frac{2}{5^{107}}+\frac{1}{5^{108}}$$. Then the value of $$\left(16

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In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which non

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Let a line $$l$$ pass through the origin and be perpendicular to the lines
$$l_{1}: \vec{r}=(\hat{\imath}-11 \hat{\jmath

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The mean of the coefficients of $$x, x^{2}, \ldots, x^{7}$$ in the binomial expansion of $$(2+x)^{9}$$ is ___________.

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If $$a$$ and $$b$$ are the roots of the equation $$x^{2}-7 x-1=0$$, then the value of $$\frac{a^{21}+b^{21}+a^{17}+b^{17

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The number of integral terms in the expansion of $$\left(3^{\frac{1}{2}}+5^{\frac{1}{4}}\right)^{680}$$ is equal to ____

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## Physics

Given below are two statements :
Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for me

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$$1 \mathrm{~kg}$$ of water at $$100^{\circ} \mathrm{C}$$ is converted into steam at $$100^{\circ} \mathrm{C}$$ by boili

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The critical angle for a denser-rarer interface is $$45^{\circ}$$. The speed of light in rarer medium is $$3 \times 10^{

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On a temperature scale '$$\mathrm{X}$$', the boiling point of water is $$65^{\circ} \mathrm{X}$$ and the freezing point

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The radii of two planets 'A' and 'B' are 'R' and '4R' and their densities are $$\rho$$ and $$\rho / 3$$ respectively. Th

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Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoat

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Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of

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The logic performed by the circuit shown in figure is equivalent to :

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A coin placed on a rotating table just slips when it is placed at a distance of $$1 \mathrm{~cm}$$ from the center. If t

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The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement $$(x)$$ starti

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A parallel plate capacitor of capacitance $$2 \mathrm{~F}$$ is charged to a potential $$\mathrm{V}$$, The energy stored

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The electric field in an electromagnetic wave is given as
$$\overrightarrow{\mathrm{E}}=20 \sin \omega\left(\mathrm{t}-\

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An average force of $$125 \mathrm{~N}$$ is applied on a machine gun firing bullets each of mass $$10 \mathrm{~g}$$ at th

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A metallic surface is illuminated with radiation of wavelength $$\lambda$$, the stopping potential is $$V_{0}$$. If the

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The free space inside a current carrying toroid is filled with a material of susceptibility $$2 \times 10^{-2}$$. The pe

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From the $$\mathrm{v}-t$$ graph shown, the ratio of distance to displacement in $$25 \mathrm{~s}$$ of motion is:

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A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive

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Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the rati

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As per the given graph, choose the correct representation for curve $$\mathrm{A}$$ and curve B.
Where $$\mathrm{X}_{\ma

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The current sensitivity of moving coil galvanometer is increased by $$25 \%$$. This increase is achieved only by changin

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The equation of wave is given by
$$\mathrm{Y}=10^{-2} \sin 2 \pi(160 t-0.5 x+\pi / 4)$$
where $$x$$ and $$Y$$ are in $$\

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As shown in the figure, a configuration of two equal point charges $$\left(q_{0}=+2 \mu \mathrm{C}\right)$$ is placed on

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A projectile fired at $$30^{\circ}$$ to the ground is observed to be at same height at time $$3 \mathrm{~s}$$ and $$5 \m

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The magnetic field B crossing normally a square metallic plate of area $$4 \mathrm{~m}^{2}$$ is changing with time as sh

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A force $$\vec{F}=(2+3 x) \hat{i}$$ acts on a particle in the $$x$$ direction where F is in newton and $$x$$ is in meter

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A solid sphere of mass $$500 \mathrm{~g}$$ and radius $$5 \mathrm{~cm}$$ is rotated about one of its diameter with angul

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The length of a wire becomes $$l_{1}$$ and $$l_{2}$$ when $$100 \mathrm{~N}$$ and $$120 \mathrm{~N}$$ tensions are appli

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The radius of curvature of each surface of a convex lens having refractive index 1.8 is $$20 \mathrm{~cm}$$. The lens is

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A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and su

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In the circuit diagram shown in figure given below, the current flowing through resistance $$3 ~\Omega$$ is $$\frac{x}{3

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