JEE Main 2024 (Online) 31st January Morning Shift

Paper was held on
Wed, Jan 31, 2024 3:30 AM

## Chemistry

Match List I with List II
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View Question Consider the oxides of group 14 elements
$$\mathrm{SiO}_2, \mathrm{GeO}_2, \mathrm{SnO}_2, \mathrm{PbO}_2, \mathrm{CO}$$

View Question The compound that is white in color is

View Question Give below are two statements:
Statement - I: Noble gases have very high boiling points.
Statement - II: Noble gases are

View Question A species having carbon with sextet of electrons and can act as electrophile is called

View Question Identify the mixture that shows positive deviations from Raoult's Law

View Question The correct statements from following are:
A. The strength of anionic ligands can be explained by crystal field theory.

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

View Question The product (C) in the below mentioned reaction is :
$$\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{Br} \xrightarro

View Question Identify the factor from the following that does not affect electrolytic conductance of a solution.

View Question Integrated rate law equation for a first order gas phase reaction is given by (where $$\mathrm{P}_{\mathrm{i}}$$ is init

View Question For the given reaction, choose the correct expression of $$\mathrm{K}_{\mathrm{C}}$$ from the following :-
$$\mathrm{Fe}

View Question The linear combination of atomic orbitals to form molecular orbitals takes place only when the combining atomic orbitals

View Question Identify correct statements from below:
A. The chromate ion is square planar.
B. Dichromates are generally prepared from

View Question The metals that are employed in the battery industries are
A. $$\mathrm{Fe}$$
B. $$\mathrm{Mn}$$
C. $$\mathrm{Ni}$$
D. $

View Question Match List I with List II
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View Question 'Adsorption' principle is used for which of the following purification method?

View Question Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: $$\ma

View Question Given below are two statements:
Statement I: IUPAC name of $$\mathrm{HO}-\mathrm{CH}_2-\left(\mathrm{CH}_2\right)_3-\mat

View Question The correct sequence of electron gain enthalpy of the elements listed below is
A. Ar
B. Br
C. F
D. S
Choose the most app

View Question Consider the following reaction at $$298 \mathrm{~K} \cdot \frac{3}{2} \mathrm{O}_{2(g)} \rightleftharpoons \mathrm{O}_{

View Question The product of the following reaction is P.
The number of hydroxyl groups present in the product P is ________.

View Question The ionization energy of sodium in $$\mathrm{~kJ} \mathrm{~mol}^{-1}$$, if electromagnetic radiation of wavelength $$242

View Question Number of alkanes obtained on electrolysis of a mixture of $$\mathrm{CH}_3 \mathrm{COONa}$$ and $$\mathrm{C}_2 \mathrm{H

View Question The 'Spin only' Magnetic moment for $$\left[\mathrm{Ni}\left(\mathrm{NH}_3\right)_6\right]^{2+}$$ is _________ $$\times

View Question One Faraday of electricity liberates $$x \times 10^{-1}$$ gram atom of copper from copper sulphate. $$x$$ is ________.

View Question Number of moles of methane required to produce $$22 \mathrm{~g} \mathrm{~CO}_{2(\mathrm{~g})}$$ after combustion is $$\m

View Question Molar mass of the salt from $$\mathrm{NaBr}, \mathrm{NaNO}_3, \mathrm{KI}$$ and $$\mathrm{CaF}_2$$ which does not evolve

View Question
The total number of hydrogen atoms in product A and product B is _________.

View Question The number of species from the following in which the central atom uses $$\mathrm{sp}^3$$ hybrid orbitals in its bonding

View Question ## Mathematics

$$\lim _\limits{x \rightarrow 0} \frac{e^{2|\sin x|}-2|\sin x|-1}{x^2}$$

View Question For $$\alpha, \beta, \gamma \neq 0$$, if $$\sin ^{-1} \alpha+\sin ^{-1} \beta+\sin ^{-1} \gamma=\pi$$ and $$(\alpha+\bet

View Question Let $$\mathrm{S}$$ be the set of positive integral values of $$a$$ for which $$\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32}

View Question Let $$\alpha, \beta, \gamma, \delta \in \mathbb{Z}$$ and let $$A(\alpha, \beta), B(1,0), C(\gamma, \delta)$$ and $$D(1,2

View Question For $$0
(I) If $$\alpha \in(-1,0)$$, then $$b$$ cannot be the geometric mean of $a$ and $$c$$
(II) If $$\alpha \in(0,1)

View Question If $$f(x)=\frac{4 x+3}{6 x-4}, x \neq \frac{2}{3}$$ and $$(f \circ f)(x)=g(x)$$, where $$g: \mathbb{R}-\left\{\frac{2}{3

View Question Let $$y=y(x)$$ be the solution of the differential equation $$\frac{d y}{d x}=\frac{(\tan x)+y}{\sin x(\sec x-\sin x \ta

View Question Three rotten apples are accidently mixed with fifteen good apples. Assuming the random variable $$x$$ to be the number o

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

View Question The sum of the series $$\frac{1}{1-3 \cdot 1^2+1^4}+\frac{2}{1-3 \cdot 2^2+2^4}+\frac{3}{1-3 \cdot 3^2+3^4}+\ldots$$ up

View Question Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacem

View Question The distance of the point $$Q(0,2,-2)$$ form the line passing through the point $$P(5,-4, 3)$$ and perpendicular to the

View Question If the system of linear equations
$$\begin{aligned}
& x-2 y+z=-4 \\
& 2 x+\alpha y+3 z=5 \\
& 3 x-y+\beta z=3
\end{align

View Question Let $$g(x)$$ be a linear function and $$f(x)=\left\{\begin{array}{cl}g(x) & , x \leq 0 \\ \left(\frac{1+x}{2+x}\right)^{

View Question The area of the region $$\left\{(x, y): y^2 \leq 4 x, x0, x \neq 3\right\}$$ is

View Question The solution curve of the differential equation
$$y \frac{d x}{d y}=x\left(\log _e x-\log _e y+1\right), x>0, y>0$$ pas

View Question Let $$a$$ be the sum of all coefficients in the expansion of $$\left(1-2 x+2 x^2\right)^{2023}\left(3-4 x^2+2 x^3\right)

View Question $$\text { If } f(x)=\left|\begin{array}{ccc}
x^3 & 2 x^2+1 & 1+3 x \\
3 x^2+2 & 2 x & x^3+6 \\
x^3-x & 4 & x^2-2
\end{ar

View Question If one of the diameters of the circle $$x^2+y^2-10 x+4 y+13=0$$ is a chord of another circle $$\mathrm{C}$$, whose cente

View Question If the foci of a hyperbola are same as that of the ellipse $$\frac{x^2}{9}+\frac{y^2}{25}=1$$ and the eccentricity of th

View Question If $$\alpha$$ denotes the number of solutions of $$|1-i|^x=2^x$$ and $$\beta=\left(\frac{|z|}{\arg (z)}\right)$$, where

View Question In the expansion of $$(1+x)\left(1-x^2\right)\left(1+\frac{3}{x}+\frac{3}{x^2}+\frac{1}{x^3}\right)^5, x \neq 0$$, the s

View Question Let $$\vec{a}$$ and $$\vec{b}$$ be two vectors such that $$|\vec{a}|=1,|\vec{b}|=4$$, and $$\vec{a} \cdot \vec{b}=2$$. I

View Question If the integral $$525 \int_\limits0^{\frac{\pi}{2}} \sin 2 x \cos ^{\frac{11}{2}} x\left(1+\operatorname{Cos}^{\frac{5}{

View Question Let $$S=(-1, \infty)$$ and $$f: S \rightarrow \mathbb{R}$$ be defined as
$$f(x)=\int_\limits{-1}^x\left(e^t-1\right)^{11

View Question Let $$\mathrm{Q}$$ and $$\mathrm{R}$$ be the feet of perpendiculars from the point $$\mathrm{P}(a, a, a)$$ on the lines

View Question Let the foci and length of the latus rectum of an ellipse $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b b e( \pm 5,0)$$ and $

View Question The total number of words (with or without meaning) that can be formed out of the letters of the word 'DISTRIBUTION' tak

View Question Let $$A=\{1,2,3,4\}$$ and $$R=\{(1,2),(2,3),(1,4)\}$$ be a relation on $$\mathrm{A}$$. Let $$\mathrm{S}$$ be the equival

View Question Let $$f: \mathbb{R} \rightarrow \mathbb{R}$$ be a function defined by $$f(x)=\frac{4^x}{4^x+2}$$ and $$M=\int_\limits{f(

View Question ## Physics

Four identical particles of mass $$m$$ are kept at the four corners of a square. If the gravitational force exerted on o

View Question Two charges $$q$$ and $$3 q$$ are separated by a distance '$$r$$' in air. At a distance $$x$$ from charge $$q$$, the res

View Question The given figure represents two isobaric processes for the same mass of an ideal gas, then

View Question In the given arrangement of a doubly inclined plane two blocks of masses $$M$$ and $$m$$ are placed. The blocks are conn

View Question The relation between time '$$t$$' and distance '$$x$$' is $$t=\alpha x^2+\beta x$$, where $$\alpha$$ and $$\beta$$ are c

View Question An artillery piece of mass $$M_1$$ fires a shell of mass $$M_2$$ horizontally. Instantaneously after the firing, the rat

View Question The parameter that remains the same for molecules of all gases at a given temperature is :

View Question A rigid wire consists of a semicircular portion of radius $$R$$ and two straight sections. The wire is partially immerge

View Question When a metal surface is illuminated by light of wavelength $$\lambda$$, the stopping potential is $$8 \mathrm{~V}$$. Whe

View Question The refractive index of a prism with apex angle $$A$$ is $$\cot A / 2$$. The angle of minimum deviation is :

View Question The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If leng

View Question If the wavelength of the first member of Lyman series of hydrogen is $$\lambda$$. The wavelength of the second member wi

View Question A coil is places perpendicular to a magnetic field of $$5000 \mathrm{~T}$$. When the field is changed to $$3000 \mathrm{

View Question A coin is placed on a disc. The coefficient of friction between the coin and the disc is $$\mu$$. If the distance of the

View Question Two conductors have the same resistances at $$0^{\circ} \mathrm{C}$$ but their temperature coefficients of resistance ar

View Question If the percentage errors in measuring the length and the diameter of a wire are $$0.1 \%$$ each. The percentage error in

View Question A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct repre

View Question A force is represented by $$F=a x^2+b t^{\frac{1}{2}}$$
where $$x=$$ distance and $$t=$$ time. The dimensions of $$b^2 /

View Question In a plane EM wave, the electric field oscillates sinusoidally at a frequency of $$5 \times 10^{10} \mathrm{~Hz}$$ and a

View Question Identify the logic operation performed by the given circuit.

View Question A solid circular disc of mass $$50 \mathrm{~kg}$$ rolls along a horizontal floor so that its center of mass has a speed

View Question An electron moves through a uniform magnetic field $$\vec{B}=B_0 \hat{i}+2 B_0 \hat{j} T$$. At a particular instant of t

View Question A parallel plate capacitor with plate separation $$5 \mathrm{~mm}$$ is charged up by a battery. It is found that on intr

View Question The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by $$0.02 \%$$ is ______

View Question A body starts falling freely from height $$H$$ hits an inclined plane in its path at height $$h$$. As a result of this p

View Question A particle performs simple harmonic motion with amplitude $$A$$. Its speed is increased to three times at an instant whe

View Question The mass defect in a particular reaction is $$0.4 \mathrm{~g}$$. The amount of energy liberated is $$n \times 10^7 \math

View Question A small square loop of wire of side $$l$$ is placed inside a large square loop of wire of side $$L\left(L=l^2\right)$$.

View Question Equivalent resistance of the following network is __________ $$\Omega$$.

View Question Two waves of intensity ratio $$1: 9$$ cross each other at a point. The resultant intensities at that point, when (a) Wav

View Question