JEE Main 2023 (Online) 11th April Evening Shift

Paper was held on
Tue, Apr 11, 2023 9:30 AM

## Chemistry

Alkali metal from the following with least melting point is :

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Given below are two statements :
Statement I : In the metallurgy process, sulphide ore is converted to oxide before redu

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Which one of the following pairs is an example of polar molecular solids?

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The major product formed in the following reaction is
Choose the correct answer from the options given below :

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Compound 'B' is

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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 : $$\l

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If $$\mathrm{Ni}^{2+}$$ is replaced by $$\mathrm{Pt}^{2+}$$ in the complex $$\left[\mathrm{NiCl}_{2} \mathrm{Br}_{2}\rig

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Which of the following compounds is an example of Freon?

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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 : A so

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Match List I with List II
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What weight of glucose must be dissolved in $$100 \mathrm{~g}$$ of water to lower the vapour pressure by $$0.20 \mathrm{

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A solution is prepared by adding $$2 \mathrm{~g}$$ of "$$\mathrm{X}$$" to 1 mole of water. Mass percent of "$$\mathrm{X}

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Compound from the following that will not produce precipitate on reaction with $$\mathrm{AgNO}_{3}$$ is :

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The magnetic moment is measured in Bohr Magneton (BM).
Spin only magnetic moment of $$\mathrm{Fe}$$ in $$\left[\mathrm{F

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Which hydride among the following is less stable?

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Given below are two statements :
Statement I : Ethene at 333 to $$343 \mathrm{~K}$$ and $$6$$-$$7$$ atm pressure in the

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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
In the light of t

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One mole of $$\mathrm{P}_{4}$$ reacts with 8 moles of $$\mathrm{SOCl}_{2}$$ to give 4 moles of $$\mathrm{A}, x$$ mole of

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For a chemical reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ Product, the order is 1 with respect to $$\mathrm{A}$$ and

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Product [X] formed in the above reaction is :

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The number of possible isomeric products formed when 3-chloro-1-butene reacts with $$\mathrm{HCl}$$ through carbocation

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The maximum number of lone pairs of electrons on the central atom from the following species is ____________.
$$\mathrm{

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The total number of intensive properties from the following is __________ Volume, Molar heat capacity, Molarity, $$\math

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Number of compounds from the following which will not produce orange red precipitate with Benedict solution is _________

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The number of correct statements from the following is ___________.
A. For $$1 \mathrm{s}$$ orbital, the probability den

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4.5 moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At equilibrium, 3 moles of $$\mathrm{HI}$$

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The number of correct statements from the following is __________
A. $$\mathrm{E_{\text {cell }}}$$ is an intensive para

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The number of correct statements about modern adsorption theory of heterogeneous catalysis from the following is _______

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$$\mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2} \cdot \mathrm{XH}_{2} \mathrm{O}$$ and $$\mathrm{Ba}\left(\mathrm{NO}_{3}\

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The volume of hydrogen liberated at STP by treating $$2.4 \mathrm{~g}$$ of magnesium with excess of hydrochloric acid is

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## Mathematics

If the radius of the largest circle with centre (2,0) inscribed in the ellipse $$x^2+4y^2=36$$ is r, then 12r$$^2$$ is e

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Let $$a, b, c$$ and $$d$$ be positive real numbers such that $$a+b+c+d=11$$. If the maximum value of $$a^{5} b^{3} c^{2}

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The sum of the coefficients of three consecutive terms in the binomial expansion of $$(1+\mathrm{x})^{\mathrm{n}+2}$$, w

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If the system of linear equations
$$
\begin{aligned}
& 7 x+11 y+\alpha z=13 \\\\
& 5 x+4 y+7 z=\beta \\\\
& 175 x+194 y+

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For $$a \in \mathbb{C}$$, let $$\mathrm{A}=\{z \in \mathbb{C}: \operatorname{Re}(a+\bar{z}) > \operatorname{Im}(\bar{a}+

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If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with seri

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The converse of $$((\sim p) \wedge q) \Rightarrow r$$ is

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If four distinct points with position vectors $$\vec{a}, \vec{b}, \vec{c}$$ and $$\vec{d}$$ are coplanar, then $$[\vec{a

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Let $$\mathrm{A}=\{1,3,4,6,9\}$$ and $$\mathrm{B}=\{2,4,5,8,10\}$$. Let $$\mathrm{R}$$ be a relation defined on $$\mathr

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Let the line passing through the points $$\mathrm{P}(2,-1,2)$$ and $$\mathrm{Q}(5,3,4)$$ meet the plane $$x-y+z=4$$ at t

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If the $$1011^{\text {th }}$$ term from the end in the binominal expansion of $$\left(\frac{4 x}{5}-\frac{5}{2 x}\right)

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$$\left|\begin{array}{ccc}x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^{2}\end{array}\right|=\frac{9}{8}(103 x+

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Let the mean of 6 observations $$1,2,4,5, \mathrm{x}$$ and $$\mathrm{y}$$ be 5 and their variance be 10 .
Then their me

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If $$f: \mathbb{R} \rightarrow \mathbb{R}$$ be a continuous function satisfying $$\int_\limits{0}^{\frac{\pi}{2}} f(\sin

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Let $$f$$ and $$g$$ be two functions defined by
$$f(x)=\left\{\begin{array}{cc}x+1, & x
Then $$(g \circ f)(x)$$ is :

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Let $$y=y(x)$$ be the solution of the differential equation $$\frac{d y}{d x}+\frac{5}{x\left(x^{5}+1\right)} y=\frac{\l

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Let the function $$f:[0,2] \rightarrow \mathbb{R}$$ be defined as
$$f(x)= \begin{cases}e^{\min \left\{x^{2}, x-[x]\right

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Let P be the plane passing through the points $$(5,3,0),(13,3,-2)$$ and $$(1,6,2)$$.
For $$\alpha \in \mathbb{N}$$, if

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The angle of elevation of the top $$\mathrm{P}$$ of a tower from the feet of one person standing due South of the tower

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The domain of the function $$f(x)=\frac{1}{\sqrt{[x]^{2}-3[x]-10}}$$ is : ( where $$[\mathrm{x}]$$ denotes the greatest

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

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Let the line $$l: x=\frac{1-y}{-2}=\frac{z-3}{\lambda}, \lambda \in \mathbb{R}$$ meet the plane $$P: x+2 y+3 z=4$$ at th

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Let $$\mathrm{A}=\{1,2,3,4,5\}$$ and $$\mathrm{B}=\{1,2,3,4,5,6\}$$. Then the number of functions $$f: \mathrm{A} \right

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For $$k \in \mathbb{N}$$, if the sum of the series $$1+\frac{4}{k}+\frac{8}{k^{2}}+\frac{13}{k^{3}}+\frac{19}{k^{4}}+\ld

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Let the tangent to the parabola $$\mathrm{y}^{2}=12 \mathrm{x}$$ at the point $$(3, \alpha)$$ be perpendicular to the li

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Let the probability of getting head for a biased coin be $$\frac{1}{4}$$. It is tossed repeatedly until a head appears.

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If A is the area in the first quadrant enclosed by the curve $$\mathrm{C: 2 x^{2}-y+1=0}$$, the tangent to $$\mathrm{C}$

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Let $$\mathrm{S}=\left\{z \in \mathbb{C}-\{i, 2 i\}: \frac{z^{2}+8 i z-15}{z^{2}-3 i z-2} \in \mathbb{R}\right\}$$. If $

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If the line $$l_{1}: 3 y-2 x=3$$ is the angular bisector of the lines $$l_{2}: x-y+1=0$$ and $$l_{3}: \alpha x+\beta y+1

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The number of points, where the curve $$f(x)=\mathrm{e}^{8 x}-\mathrm{e}^{6 x}-3 \mathrm{e}^{4 x}-\mathrm{e}^{2 x}+1, x

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## Physics

The current flowing through R$$_2$$ is :

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A plane electromagnetic wave of frequency $$20 ~\mathrm{MHz}$$ propagates in free space along $$\mathrm{x}$$-direction.

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An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid.
A. The elect

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A car P travelling at $$20 \mathrm{~ms}^{-1}$$ sounds its horn at a frequency of $$400 \mathrm{~Hz}$$. Another car $$\ma

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The Thermodynamic process, in which internal energy of the system remains constant is

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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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The energy of $$\mathrm{He}^{+}$$ ion in its first excited state is, (The ground state energy for the Hydrogen atom is $

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When one light ray is reflected from a plane mirror with $$30^{\circ}$$ angle of reflection, the angle of deviation of t

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A capacitor of capacitance $$\mathrm{C}$$ is charged to a potential V. The flux of the electric field through a closed s

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The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy :
(Assume $$m_{p}=m_{e} \times

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Eight equal drops of water are falling through air with a steady speed of $$10 \mathrm{~cm} / \mathrm{s}$$. If the drops

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The logic operations performed by the given digital circuit is equivalent to:

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A projectile is projected at $$30^{\circ}$$ from horizontal with initial velocity $$40 \mathrm{~ms}^{-1}$$. The velocity

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A body of mass $$500 \mathrm{~g}$$ moves along $$\mathrm{x}$$-axis such that it's velocity varies with displacement $$\m

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In satellite communication, the uplink frequency band used is :

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A space ship of mass $$2 \times 10^{4} \mathrm{~kg}$$ is launched into a circular orbit close to the earth surface. The

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When vector $$\vec{A}=2 \hat{i}+3 \hat{j}+2 \hat{k}$$ is subtracted from vector $$\overrightarrow{\mathrm{B}}$$, it give

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If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of den

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If $$\mathrm{V}$$ is the gravitational potential due to sphere of uniform density on it's surface, then it's value at th

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The root mean square speed of molecules of nitrogen gas at $$27^{\circ} \mathrm{C}$$ is approximately : (Given mass of a

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As shown in the figure, a plane mirror is fixed at a height of $$50 \mathrm{~cm}$$ from the bottom of tank containing wa

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A circular plate is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plat

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The surface tension of soap solution is $$3.5 \times 10^{-2} \mathrm{~Nm}^{-1}$$. The amount of work done required to in

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A wire of density $$8 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$$ is stretched between two clamps $$0.5 \mathrm{~m}$$

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A metallic cube of side $$15 \mathrm{~cm}$$ moving along $$y$$-axis at a uniform velocity of $$2 \mathrm{~ms}^{-1}$$. In

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A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is $$1: 2^{1 / 3}$$. The

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A block of mass $$5 \mathrm{~kg}$$ starting from rest pulled up on a smooth incline plane making an angle of $$30^{\circ

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In the given circuit, $$\mathrm{C}_{1}=2 \mu \mathrm{F}, \mathrm{C}_{2}=0.2 \mu \mathrm{F}, \mathrm{C}_{3}=2 \mu \mathrm

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A coil has an inductance of $$2 \mathrm{H}$$ and resistance of $$4 ~\Omega$$. A $$10 \mathrm{~V}$$ is applied across the

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Two identical cells each of emf $$1.5 \mathrm{~V}$$ are connected in series across a $$10 ~\Omega$$ resistance. An ideal

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