JEE Main 2024 (Online) 30th January Morning Shift

Paper was held on
Tue, Jan 30, 2024 3:30 AM

## Chemistry

Aluminium chloride in acidified aqueous solution forms an ion having geometry

View Question Example of vinylic halide is :

View Question Given below are two statements :
Statement (I) : The gas liberated on warming a salt with dil $$\mathrm{H}_2 \mathrm{SO}

View Question The final product A, formed in the following multistep reaction sequence is :

View Question
This reduction reaction is known as:

View Question Compound A formed in the following reaction reacts with B gives the product C. Find out A and B.

View Question Which of the following molecule/species is most stable?

View Question What happens to freezing point of benzene when small quantity of napthalene is added to benzene?

View Question Match List I with List II.
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View Question Match List I with List II.
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View Question The Lassiagne's extract is boiled with dil $$\mathrm{HNO}_3$$ before testing for halogens because,

View Question Given below are two statements :
Statement (I) : The orbitals having same energy are called as degenerate orbitals.
Stat

View Question Sugar which does not give reddish brown precipitate with Fehling's reagent, is :

View Question In the given reactions, identify the reagent A and reagent B.

View Question Diamagnetic Lanthanoid ions are :

View Question Choose the correct statements from the following :
(A) Ethane-1, 2-diamine is a chelating ligand.
(B) Metallic aluminium

View Question Following is a confirmatory test for aromatic primary amines. Identify reagent (A) and (B).

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

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

View Question Structure of 4-Methylpent-2-enal is :

View Question The total number of molecular orbitals formed from $$2 \mathrm{s}$$ and $$2 \mathrm{p}$$ atomic orbitals of a diatomic m

View Question The mass of sodium acetate $$\left(\mathrm{CH}_3 \mathrm{COONa}\right)$$ required to prepare $$250 \mathrm{~mL}$$ of $$0

View Question $$0.05 \mathrm{~cm}$$ thick coating of silver is deposited on a plate of $$0.05 \mathrm{~m}^2$$ area. The number of silv

View Question The compound formed by the reaction of ethanal with semicarbazide contains _________ number of nitrogen atoms.

View Question The $$\mathrm{pH}$$ at which $$\mathrm{Mg}(\mathrm{OH})_2\left[\mathrm{~K}_{\mathrm{sp}}=1 \times 10^{-11}\right]$$ begi

View Question $$2 \mathrm{MnO}_4^{-}+\mathrm{bI}^{-}+\mathrm{cH}_2 \mathrm{O} \rightarrow x \mathrm{I}_2+y \mathrm{MnO}_2+z \overline{

View Question
An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing t

View Question The rate of First order reaction is $$0.04 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}$$ at 10 minutes and $$0.03 \m

View Question On a thin layer chromatographic plate, an organic compound moved by $$3.5 \mathrm{~cm}$$, while the solvent moved by $$5

View Question If IUPAC name of an element is "Unununnium" then the element belongs to nth group of Periodic table. The value of n is _

View Question ## Mathematics

Let $$g: \mathbf{R} \rightarrow \mathbf{R}$$ be a non constant twice differentiable function such that $$\mathrm{g}^{\pr

View Question The value of $$\lim _\limits{n \rightarrow \infty} \sum_\limits{k=1}^n \frac{n^3}{\left(n^2+k^2\right)\left(n^2+3 k^2\ri

View Question If the circles $$(x+1)^2+(y+2)^2=r^2$$ and $$x^2+y^2-4 x-4 y+4=0$$ intersect at exactly two distinct points, then

View Question Let $$\overrightarrow{\mathrm{a}}=\mathrm{a}_1 \hat{i}+\mathrm{a}_2 \hat{j}+\mathrm{a}_3 \hat{k}$$ and $$\overrightarrow

View Question The maximum area of a triangle whose one vertex is at $$(0,0)$$ and the other two vertices lie on the curve $$y=-2 x^2+5

View Question If $$f(x)=\left|\begin{array}{ccc}
2 \cos ^4 x & 2 \sin ^4 x & 3+\sin ^2 2 x \\
3+2 \cos ^4 x & 2 \sin ^4 x & \sin ^2 2

View Question Let $$(\alpha, \beta, \gamma)$$ be the foot of perpendicular from the point $$(1,2,3)$$ on the line $$\frac{x+3}{5}=\fra

View Question A line passing through the point $$\mathrm{A}(9,0)$$ makes an angle of $$30^{\circ}$$ with the positive direction of $$x

View Question Consider the system of linear equations $$x+y+z=4 \mu, x+2 y+2 \lambda z=10 \mu, x+3 y+4 \lambda^2 z=\mu^2+15$$ where $$

View Question Let $$f:\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \rightarrow \mathbf{R}$$ be a differentiable function such that $$f(0

View Question If the length of the minor axis of an ellipse is equal to half of the distance between the foci, then the eccentricity o

View Question Let M denote the median of the following frequency distribution
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View Question Two integers $$x$$ and $$y$$ are chosen with replacement from the set $$\{0,1,2,3, \ldots, 10\}$$. Then the probability

View Question Let $$A(2,3,5)$$ and $$C(-3,4,-2)$$ be opposite vertices of a parallelogram $$A B C D$$. If the diagonal $$\overrightarr

View Question Let $$y=y(x)$$ be the solution of the differential equation $$\sec x \mathrm{~d} y+\{2(1-x) \tan x+x(2-x)\} \mathrm{d} x

View Question If $$z=x+i y, x y \neq 0$$, satisfies the equation $$z^2+i \bar{z}=0$$, then $$\left|z^2\right|$$ is equal to :

View Question If $$2 \sin ^3 x+\sin 2 x \cos x+4 \sin x-4=0$$ has exactly 3 solutions in the interval $$\left[0, \frac{\mathrm{n} \pi}

View Question If the domain of the function $$f(x)=\cos ^{-1}\left(\frac{2-|x|}{4}\right)+\left\{\log _e(3-x)\right\}^{-1}$$ is $$[-\a

View Question Let $$S_n$$ denote the sum of first $$n$$ terms of an arithmetic progression. If $$S_{20}=790$$ and $$S_{10}=145$$, then

View Question The area (in square units) of the region bounded by the parabola $$y^2=4(x-2)$$ and the line $$y=2 x-8$$, is :

View Question A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics and Chemistry. It was found that

View Question Let $$y=y(x)$$ be the solution of the differential equation $$\left(1-x^2\right) \mathrm{d} y=\left[x y+\left(x^3+2\righ

View Question The value of $$9 \int_\limits0^9\left[\sqrt{\frac{10 x}{x+1}}\right] \mathrm{d} x$$, where $$[t]$$ denotes the greatest

View Question Let $$\alpha, \beta \in \mathbf{N}$$ be roots of the equation $$x^2-70 x+\lambda=0$$, where $$\frac{\lambda}{2}, \frac{\

View Question $$\text { Number of integral terms in the expansion of }\left\{7^{\left(\frac{1}{2}\right)}+11^{\left(\frac{1}{6}\right)

View Question Let the latus rectum of the hyperbola $$\frac{x^2}{9}-\frac{y^2}{b^2}=1$$ subtend an angle of $$\frac{\pi}{3}$$ at the c

View Question If $$\mathrm{d}_1$$ is the shortest distance between the lines $$x+1=2 y=-12 z, x=y+2=6 z-6$$ and $$\mathrm{d}_2$$ is th

View Question Let $$\alpha=1^2+4^2+8^2+13^2+19^2+26^2+\ldots$$ upto 10 terms and $$\beta=\sum_\limits{n=1}^{10} n^4$$. If $$4 \alpha-\

View Question Let $$\mathrm{A}=\{1,2,3, \ldots, 7\}$$ and let $$\mathrm{P}(\mathrm{A})$$ denote the power set of $$\mathrm{A}$$. If th

View Question If the function
$$f(x)= \begin{cases}\frac{1}{|x|}, & |x| \geqslant 2 \\ \mathrm{a} x^2+2 \mathrm{~b}, & |x|
is differen

View Question ## Physics

The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the 5th excited state of a hy

View Question The work function of a substance is $$3.0 \mathrm{~eV}$$. The longest wavelength of light that can cause the emission of

View Question Primary coil of a transformer is connected to $$220 \mathrm{~V}$$ ac. Primary and secondary turns of the transforms are

View Question A particle of mass $$\mathrm{m}$$ is projected with a velocity '$$\mathrm{u}$$' making an angle of $$30^{\circ}$$ with t

View Question The diffraction pattern of a light of wavelength $$400 \mathrm{~nm}$$ diffracting from a slit of width $$0.2 \mathrm{~mm

View Question A series L.R circuit connected with an ac source $$E=(25 \sin 1000 t) V$$ has a power factor of $$\frac{1}{\sqrt{2}}$$.

View Question The electrostatic potential due to an electric dipole at a distance '$$r$$' varies as :

View Question A particle is placed at the point $$A$$ of a frictionless track $$A B C$$ as shown in figure. It is gently pushed toward

View Question Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $$\mathrm{C}_{\ma

View Question The electric field of an electromagnetic wave in free space is represented as $$\overrightarrow{\mathrm{E}}=\mathrm{E}_0

View Question At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $$47^{\circ} \mat

View Question Match List I with List II.
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View Question A potential divider circuit is shown in figure. The output voltage V$$_0$$ is :

View Question A Zener diode of breakdown voltage $$10 \mathrm{~V}$$ is used as a voltage regulator as shown in the figure. The current

View Question Two insulated circular loop A and B of radius '$$a$$' carrying a current of '$$\mathrm{I}$$' in the anti clockwise direc

View Question All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration o

View Question An electric toaster has resistance of $$60 \Omega$$ at room temperature $$\left(27^{\circ} \mathrm{C}\right)$$. The toas

View Question A spherical body of mass $$100 \mathrm{~g}$$ is dropped from a height of $$10 \mathrm{~m}$$ from the ground. After hitti

View Question Young's modules of material of a wire of length '$$L$$' and cross-sectional area $$A$$ is $$Y$$. If the length of the wi

View Question The gravitational potential at a point above the surface of earth is $$-5.12 \times 10^7 \mathrm{~J} / \mathrm{kg}$$ and

View Question The horizontal component of earth's magnetic field at a place is $$3.5 \times 10^{-5} \mathrm{~T}$$. A very long straigh

View Question Two cells are connected in opposition as shown. Cell $$\mathrm{E}_1$$ is of $$8 \mathrm{~V}$$ emf and $$2 \Omega$$ inter

View Question A electron of hydrogen atom on an excited state is having energy $$\mathrm{E}_{\mathrm{n}}=-0.85 \mathrm{~eV}$$. The max

View Question A capacitor of capacitance $$\mathrm{C}$$ and potential $$\mathrm{V}$$ has energy $$\mathrm{E}$$. It is connected to ano

View Question The distance between object and its two times magnified real image as produced by a convex lens is $$45 \mathrm{~cm}$$.

View Question In a closed organ pipe, the frequency of fundamental note is $$30 \mathrm{~Hz}$$. A certain amount of water is now poure

View Question
Consider a Disc of mass $$5 \mathrm{~kg}$$, radius $$2 \mathrm{~m}$$, rotating with angular velocity of $$10 \mathrm{~r

View Question The displacement and the increase in the velocity of a moving particle in the time interval of $$t$$ to $$(t+1) \mathrm{

View Question Each of three blocks $$\mathrm{P}, \mathrm{Q}$$ and $$\mathrm{R}$$ shown in figure has a mass of $$3 \mathrm{~kg}$$. Eac

View Question A ceiling fan having 3 blades of length $$80 \mathrm{~cm}$$ each is rotating with an angular velocity of 1200 $$\mathrm{

View Question