JEE Main 2023 (Online) 6th April Evening Shift

Paper was held on
Thu, Apr 6, 2023 9:30 AM

## Chemistry

Formation of which complex, among the following, is not a confirmatory test of $$\mathrm{Pb}^{2+}$$ ions

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Element not present in Nessler's reagent is

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Consider the following reaction that goes from A to B in three steps as shown below:
Choose the correct option

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Find out the major product from the following reaction.

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If the radius of the first orbit of hydrogen atom is $$\alpha_{0}$$, then de Broglie's wavelength of electron in $$3^{\t

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The product, which is not obtained during the electrolysis of brine solution is

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Which one of the following elements will remain as liquid inside pure boiling water?

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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: I

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Group-13 elements react with $$\mathrm{O}_{2}$$ in amorphous form to form oxides of type $$\mathrm{M}_{2} \mathrm{O}_{3}

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During the reaction of permanganate with thiosulphate, the change in oxidation of manganese occurs by value of 3. Identi

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In the following reaction, 'B' is

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The IUPAC name of $$\mathrm{K}_{3}\left[\mathrm{Co}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]$$ is:-

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The strongest acid from the following is

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Match List I with List II
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From the figure of column chromatography given below, identify incorrect statements.
A. Compound 'c' is more polar than

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Ion having highest hydration enthalpy among the given alkaline earth metal ions is:

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Structures of $$\mathrm{BeCl}_{2}$$ in solid state, vapour phase and at very high temperature respectively are:

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The group of chemicals used as pesticide is

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Given below are two statements:
Statement I: Morphine is a narcotic analgesic. It helps in relieving pain without produc

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The volume of $$0.02 ~\mathrm{M}$$ aqueous $$\mathrm{HBr}$$ required to neutralize $$10.0 \mathrm{~mL}$$ of $$0.01 ~\mat

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The number of species having a square planar shape from the following is __________.
$$\mathrm{XeF}_{4}, \mathrm{SF}_{4}

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The standard reduction potentials at $$298 \mathrm{~K}$$ for the following half cells are given below:
$$\mathrm{NO}_{3}

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Consider the following data
Heat of combustion of $$\mathrm{H}_{2}(\mathrm{g})\quad\quad=-241.8 \mathrm{~kJ} \mathrm{~mo

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Number of isomeric aromatic amines with molecular formula $$\mathrm{C}_{8} \mathrm{H}_{11} \mathrm{~N}$$, which can be s

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The number of colloidal systems from the following, which will have 'liquid' as the dispersion medium, is ___________.
G

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The equilibrium composition for the reaction $$\mathrm{PCl}_{3}+\mathrm{Cl}_{2} \rightleftharpoons \mathrm{PCl}_{5}$$ at

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In an ice crystal, each water molecule is hydrogen bonded to ____________ neighbouring molecules.

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Among the following, the number of compounds which will give positive iodoform reaction is _________
(a) 1-Phenylbutan-2

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Number of crystal systems from the following where body centred unit cell can be found, is ____________.
Cubic, tetragon

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Consider the following pairs of solution which will be isotonic at the same temperature. The number of pairs of solution

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## Mathematics

If the coefficient of $${x^7}$$ in $${\left( {a{x^2} + {1 \over {2bx}}} \right)^{11}}$$ and $${x^{ - 7}}$$ in $${\left(

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The area bounded by the curves $$y=|x-1|+|x-2|$$ and $$y=3$$ is equal to

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All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary wi

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A plane P contains the line of intersection of the plane $$\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=6$$ and $$\vec{r} \cdo

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If $$\operatorname{gcd}~(\mathrm{m}, \mathrm{n})=1$$ and $$1^{2}-2^{2}+3^{2}-4^{2}+\ldots . .+(2021)^{2}-(2022)^{2}+(20

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Let $$a \neq b$$ be two non-zero real numbers. Then the number of elements in the set $$X=\left\{z \in \mathbb{C}: \oper

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Let $$P$$ be a square matrix such that $$P^{2}=I-P$$. For $$\alpha, \beta, \gamma, \delta \in \mathbb{N}$$, if $$P^{\alp

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Among the statements:
(S1): $$2023^{2022}-1999^{2022}$$ is divisible by 8
(S2) : $$13(13)^{n}-11 n-13$$ is divisible by

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If the solution curve $$f(x, y)=0$$ of the differential equation $$\left(1+\log _{e} x\right) \frac{d x}{d y}-x \log _{e

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Let the vectors $$\vec{a}, \vec{b}, \vec{c}$$ represent three coterminous edges of a parallelopiped of volume V. Then th

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If the tangents at the points $$\mathrm{P}$$ and $$\mathrm{Q}$$ on the circle $$x^{2}+y^{2}-2 x+y=5$$ meet at the point

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Let $$f(x)$$ be a function satisfying $$f(x)+f(\pi-x)=\pi^{2}, \forall x \in \mathbb{R}$$. Then $$\int_\limits{0}^{\pi}

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Among the statements
(S1): $$(p \Rightarrow q) \vee((\sim p) \wedge q)$$ is a tautology
(S2): $$(q \Rightarrow p) \Right

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Let the line $$\mathrm{L}$$ pass through the point $$(0,1,2)$$, intersect the line $$\frac{x-1}{2}=\frac{y-2}{3}=\frac{z

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$$\lim _\limits{n \rightarrow \infty}\left\{\left(2^{\frac{1}{2}}-2^{\frac{1}{3}}\right)\left(2^{\frac{1}{2}}-2^{\frac{1

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In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If

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The sum of all values of $$\alpha$$, for which the points whose position vectors are $$\hat{i}-2 \hat{j}+3 \hat{k}, 2 \h

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Three dice are rolled. If the probability of getting different numbers on the three dice is $$\frac{p}{q}$$, where $$p$$

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For the system of equations
$$x+y+z=6$$
$$x+2 y+\alpha z=10$$
$$x+3 y+5 z=\beta$$, which one of the following is NOT tru

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Let the sets A and B denote the domain and range respectively of the function $$f(x)=\frac{1}{\sqrt{\lceil x\rceil-x}}$$

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If the mean and variance of the frequency distribution
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Let the eccentricity of an ellipse $$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$$ is reciprocal to that of the hyperbola

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The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed

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Let a curve $$y=f(x), x \in(0, \infty)$$ pass through the points $$P\left(1, \frac{3}{2}\right)$$ and $$Q\left(a, \frac{

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The value of $$\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}$$ is __________.

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For $$\alpha, \beta, z \in \mathbb{C}$$ and $$\lambda > 1$$, if $$\sqrt{\lambda-1}$$ is the radius of the circle $$|z-\a

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If the lines $$\frac{x-1}{2}=\frac{2-y}{-3}=\frac{z-3}{\alpha}$$ and $$\frac{x-4}{5}=\frac{y-1}{2}=\frac{z}{\beta}$$ int

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If $$(20)^{19}+2(21)(20)^{18}+3(21)^{2}(20)^{17}+\ldots+20(21)^{19}=k(20)^{19}$$, then $$k$$ is equal to ___________.

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The number of points, where the curve $$y=x^{5}-20 x^{3}+50 x+2$$ crosses the $$\mathrm{x}$$-axis, is ____________.

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Let $$f(x)=\frac{x}{\left(1+x^{n}\right)^{\frac{1}{n}}}, x \in \mathbb{R}-\{-1\}, n \in \mathbb{N}, n > 2$$.
If $$f^{n}(

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## Physics

A particle starts with an initial velocity of $$10.0 \mathrm{~ms}^{-1}$$ along $$x$$-direction and accelerates uniformly

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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: The ph

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The temperature of an ideal gas is increased from $$200 \mathrm{~K}$$ to $$800 \mathrm{~K}$$. If r.m.s. speed of gas at

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The energy density associated with electric field $$\vec{E}$$ and magnetic field $$\vec{B}$$ of an electromagnetic wave

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A 2 meter long scale with least count of $$0.2 \mathrm{~cm}$$ is used to measure the locations of objects on an optical

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Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathb

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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: Diffus

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A capacitor of capacitance $$150.0 ~\mu \mathrm{F}$$ is connected to an alternating source of emf given by $$\mathrm{E}=

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Figure shows a part of an electric circuit. The potentials at points $$a, b$$ and $$c$$ are $$30 \mathrm{~V}, 12 \mathrm

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As shown in the figure, a particle is moving with constant speed $$\pi ~\mathrm{m} / \mathrm{s}$$. Considering its motio

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The work functions of Aluminium and Gold are $$4.1 ~\mathrm{eV}$$ and and $$5.1 ~\mathrm{eV}$$ respectively. The ratio o

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A body cools in 7 minutes from $$60^{\circ} \mathrm{C}$$ to $$40^{\circ} \mathrm{C}$$. The temperature of the surroundin

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A dipole comprises of two charged particles of identical magnitude $$q$$ and opposite in nature. The mass 'm' of the pos

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The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

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A student is provided with a variable voltage source $$\mathrm{V}$$, a test resistor $$R_{T}=10 ~\Omega$$, two identical

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A small particle of mass $$m$$ moves in such a way that its potential energy $$U=\frac{1}{2} m ~\omega^{2} r^{2}$$ where

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A child of mass $$5 \mathrm{~kg}$$ is going round a merry-go-round that makes 1 rotation in $$3.14 \mathrm{~s}$$. The ra

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The weight of a body on the surface of the earth is $$100 \mathrm{~N}$$. The gravitational force on it when taken at a h

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For an amplitude modulated wave the minimum amplitude is $$3 \mathrm{~V}$$, while the modulation index is $$60 \%$$. The

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Choose the incorrect statement from the following:

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Experimentally it is found that $$12.8 ~\mathrm{eV}$$ energy is required to separate a hydrogen atom into a proton and a

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Two concentric circular coils with radii $$1 \mathrm{~cm}$$ and $$1000 \mathrm{~cm}$$, and number of turns 10 and 200 re

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As shown in the figure, two parallel plate capacitors having equal plate area of $$200 \mathrm{~cm}^{2}$$ are joined in

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A body is dropped on ground from a height '$$h_{1}$$' and after hitting the ground, it rebounds to a height '$$h_{2}$$'.

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As shown in the figure, the voltmeter reads $$2 \mathrm{~V}$$ across $$5 ~\Omega$$ resistor. The resistance of the voltm

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A proton with a kinetic energy of $$2.0 ~\mathrm{eV}$$ moves into a region of uniform magnetic field of magnitude $$\fra

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A simple pendulum with length $$100 \mathrm{~cm}$$ and bob of mass $$250 \mathrm{~g}$$ is executing S.H.M. of amplitude

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A metal block of mass $$\mathrm{m}$$ is suspended from a rigid support through a metal wire of diameter $$14 \mathrm{~mm

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A ring and a solid sphere rotating about an axis passing through their centers have same radii of gyration. The axis of

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A beam of light consisting of two wavelengths $$7000~\mathop A\limits^o $$ and $$5500~\mathop A\limits^o $$ is used to o

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