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:

View Question The complex that dissolves in water is :

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

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

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

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

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

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

View Question 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

View Question Match List-I with List-II:
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View Question 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

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

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

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

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

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

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

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

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

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

View Question $$\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 __________.

View Question 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

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

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

View Question ## Mathematics

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

View Question 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

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

View Question 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

View Question 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

View Question 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

View Question 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

View Question 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

View Question 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

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

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

View Question 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

View Question 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

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

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

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

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

View Question 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$

View Question 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

View Question An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 me

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

View Question 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

View Question 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(

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

View Question 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

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

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

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

View Question 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

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

View Question ## Physics

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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

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

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

View Question 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

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

View Question 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 $$\

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

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

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

View Question 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

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

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

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

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

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

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