JEE Main 2024 (Online) 9th April Morning Shift
Paper was held on Tue, Apr 9, 2024 3:30 AM
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Chemistry

Identify the product A and product B in the following set of reactions.
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The molar conductivity for electrolytes $$A$$ and $$B$$ are plotted against $$C^{3 / 2}$$ as shown below. Electrolytes $
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Given below are two statements : Statement (I) : The oxidation state of an element in a particular compound is the charg
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$$0.05 \mathrm{M} \mathrm{~CuSO}_4$$ when treated with $$0.01 \mathrm{M} \mathrm{~K}_2 \mathrm{Cr}_2 \mathrm{O}_7$$ give
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Identify major product "X" formed in the following reaction :
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The $$\mathrm{F}^{-}$$ ions make the enamel on teeth much harder by converting hydroxyapatite (the enamel on the surface
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Identify the incorrect statements regarding primary standard of titrimetric analysis. (A) It should be purely available
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What is the structure of C?
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The electronic configuration of $$\mathrm{Cu}(\mathrm{II})$$ is $$3 \mathrm{~d}^9$$ whereas that of $$\mathrm{Cu}(\mathr
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In which one of the following pairs the central atoms exhibit $$\mathrm{sp}^2$$ hybridization ?
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Relative stability of the contributing structures is :
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Correct order of basic strength of Pyrrole , Pyridine and Piperidine is :
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For the given compounds, the correct order of increasing $$\mathrm{pK}_{\mathrm{a}}$$ value : Choose the correct answer
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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)
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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)
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Methods used for purification of organic compounds are based on :
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Compare the energies of following sets of quantum numbers for multielectron system. (A) $$\mathrm{n}=4,1=1$$ (B) $$\math
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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)
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On reaction of Lead Sulphide with dilute nitric acid which of the following is not formed?
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In the following sequence of reaction, the major products B and C respectively are :
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The standard reduction potentials at $$298 \mathrm{~K}$$ for the following half cells are given below : $$\mathrm{Cr}_2
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Total number of essential amino acid among the given list of amino acids is ________. Arginine, Phenylalanine, Aspartic
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Number of ambidentate ligands among the following is _________. $$\mathrm{NO}_2^{-}, \mathrm{SCN}^{-}, \mathrm{C}_2 \mat
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Number of colourless lanthanoid ions among the following is __________. $$\mathrm{Eu}^{3+}, \mathrm{Lu}^{3+}, \mathrm{Nd
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The total number of species from the following in which one unpaired electron is present, is _______. $$\mathrm{N}_2, \m
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Given below are two statements : Statement I : The rate law for the reaction $$A+B \rightarrow C$$ is rate $$(r)=k[A]^2[
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How many compounds among the following compounds show inductive, mesomeric as well as hyperconjugation effects?
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When equal volume of $$1 \mathrm{~M} \mathrm{~HCl}$$ and $$1 \mathrm{~M} \mathrm{~H}_2 \mathrm{SO}_4$$ are separately ne
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The heat of solution of anhydrous $$\mathrm{CuSO}_4$$ and $$\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}$$ are $$-70
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Molarity $$(\mathrm{M})$$ of an aqueous solution containing $$x \mathrm{~g}$$ of anhyd. $$\mathrm{CuSO}_4$$ in $$500 \ma
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Mathematics

If the domain of the function $$f(x)=\sin ^{-1}\left(\frac{x-1}{2 x+3}\right)$$ is $$\mathbf{R}-(\alpha, \beta)$$, then
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Let three vectors ,$$\overrightarrow{\mathrm{a}}=\alpha \hat{i}+4 \hat{j}+2 \hat{k}, \overrightarrow{\mathrm{b}}=5 \hat{
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Let $$f(x)=a x^3+b x^2+c x+41$$ be such that $$f(1)=40, f^{\prime}(1)=2$$ and $$f^{\prime \prime}(1)=4$$. Then $$a^2+b^2
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The parabola $$y^2=4 x$$ divides the area of the circle $$x^2+y^2=5$$ in two parts. The area of the smaller part is equa
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The solution of the differential equation $$(x^2+y^2) \mathrm{d} x-5 x y \mathrm{~d} y=0, y(1)=0$$, is :
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Let $$|\cos \theta \cos (60-\theta) \cos (60+\theta)| \leq \frac{1}{8}, \theta \epsilon[0,2 \pi]$$. Then, the sum of all
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If the sum of the series $$\frac{1}{1 \cdot(1+\mathrm{d})}+\frac{1}{(1+\mathrm{d})(1+2 \mathrm{~d})}+\ldots+\frac{1}{(1+
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The coefficient of $$x^{70}$$ in $$x^2(1+x)^{98}+x^3(1+x)^{97}+x^4(1+x)^{96}+\ldots+x^{54}(1+x)^{46}$$ is $${ }^{99} \ma
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The frequency distribution of the age of students in a class of 40 students is given below. .tg {border-collapse:colla
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Let a circle passing through $$(2,0)$$ have its centre at the point $$(\mathrm{h}, \mathrm{k})$$. Let $$(x_{\mathrm{c}},
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Let $$\int \frac{2-\tan x}{3+\tan x} \mathrm{~d} x=\frac{1}{2}\left(\alpha x+\log _e|\beta \sin x+\gamma \cos x|\right)+
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Let $$\alpha, \beta$$ be the roots of the equation $$x^2+2 \sqrt{2} x-1=0$$. The quadratic equation, whose roots are $$\
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Let $$f(x)=x^2+9, g(x)=\frac{x}{x-9}$$ and $$\mathrm{a}=f \circ g(10), \mathrm{b}=g \circ f(3)$$. If $$\mathrm{e}$$ and
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The shortest distance between the lines $$\frac{x-3}{4}=\frac{y+7}{-11}=\frac{z-1}{5}$$ and $$\frac{x-5}{3}=\frac{y-9}{-
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A variable line $$\mathrm{L}$$ passes through the point $$(3,5)$$ and intersects the positive coordinate axes at the poi
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The solution curve, of the differential equation $$2 y \frac{\mathrm{d} y}{\mathrm{~d} x}+3=5 \frac{\mathrm{d} y}{\mathr
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Let $$\lambda, \mu \in \mathbf{R}$$. If the system of equations $$\begin{aligned} & 3 x+5 y+\lambda z=3 \\ & 7 x+11 y-9
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A ray of light coming from the point $$\mathrm{P}(1,2)$$ gets reflected from the point $$\mathrm{Q}$$ on the $$x$$-axis
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Let the line $$\mathrm{L}$$ intersect the lines $$x-2=-y=z-1,2(x+1)=2(y-1)=z+1$$ and be parallel to the line $$\frac{x-2
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Let $$\overrightarrow{O A}=2 \vec{a}, \overrightarrow{O B}=6 \vec{a}+5 \vec{b}$$ and $$\overrightarrow{O C}=3 \vec{b}$$,
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Let $$A=\{2,3,6,7\}$$ and $$B=\{4,5,6,8\}$$. Let $$R$$ be a relation defined on $$A \times B$$ by $$(a_1, b_1) R(a_2, b_
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Let $$\lim _\limits{n \rightarrow \infty}\left(\frac{n}{\sqrt{n^4+1}}-\frac{2 n}{\left(n^2+1\right) \sqrt{n^4+1}}+\frac{
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Let $$f:(0, \pi) \rightarrow \mathbf{R}$$ be a function given by $$f(x)=\left\{\begin{array}{cc}\left(\frac{8}{7}\right)
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The remainder when $$428^{2024}$$ is divided by 21 is __________.
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If a function $$f$$ satisfies $$f(\mathrm{~m}+\mathrm{n})=f(\mathrm{~m})+f(\mathrm{n})$$ for all $$\mathrm{m}, \mathrm{n
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Let the centre of a circle, passing through the points $$(0,0),(1,0)$$ and touching the circle $$x^2+y^2=9$$, be $$(h, k
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The sum of the square of the modulus of the elements in the set $$\{z=\mathrm{a}+\mathrm{ib}: \mathrm{a}, \mathrm{b} \in
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Let the set of all positive values of $$\lambda$$, for which the point of local minimum of the function $$(1+x(\lambda^2
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Let $$A$$ be a non-singular matrix of order 3. If $$\operatorname{det}(3 \operatorname{adj}(2 \operatorname{adj}((\opera
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Let $$\mathrm{a}, \mathrm{b}$$ and $$\mathrm{c}$$ denote the outcome of three independent rolls of a fair tetrahedral di
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Physics

A plane EM wave is propagating along $$x$$ direction. It has a wavelength of $$4 \mathrm{~mm}$$. If electric field is in
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A galvanmeter has a coil of resistance $$200 \Omega$$ with a full scale deflection at $$20 \mu \mathrm{A}$$. The value o
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The dimensional formula of latent heat is :
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A sphere of relative density $$\sigma$$ and diameter $$D$$ has concentric cavity of diameter $$d$$. The ratio of $$\frac
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The volume of an ideal gas $$(\gamma=1.5)$$ is changed adiabatically from 5 litres to 4 litres. The ratio of initial pre
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A light emitting diode (LED) is fabricated using GaAs semiconducting material whose band gap is $$1.42 \mathrm{~eV}$$. T
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A particle of mass $$m$$ moves on a straight line with its velocity increasing with distance according to the equation $
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Given below are two statements : Statement (I) : When currents vary with time, Newton's third law is valid only if momen
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A particle moving in a straight line covers half the distance with speed $$6 \mathrm{~m} / \mathrm{s}$$. The other half
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Given below are two statements : Statement (I) : When an object is placed at the centre of curvature of a concave lens,
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A sample of 1 mole gas at temperature $$T$$ is adiabatically expanded to double its volume. If adiab constant for the ga
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A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If th
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One main scale division of a vernier caliper is equal to $$\mathrm{m}$$ units. If $$\mathrm{n}^{\text {th }}$$ division
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A heavy iron bar, of weight $$W$$ is having its one end on the ground and the other on the shoulder of a person. The bar
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A light unstretchable string passing over a smooth light pulley connects two blocks of masses $$m_1$$ and $$m_2$$. If th
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The energy equivalent of $$1 \mathrm{~g}$$ of substance is :
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The equivalent resistance between A and B is :
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An astronaut takes a ball of mass $$m$$ from earth to space. He throws the ball into a circular orbit about earth at an
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A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of th
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A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as :
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A square loop of edge length $$2 \mathrm{~m}$$ carrying current of $$2 \mathrm{~A}$$ is placed with its edges parallel t
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At the centre of a half ring of radius $$\mathrm{R}=10 \mathrm{~cm}$$ and linear charge density $$4 \mathrm{n} \mathrm{~
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In a Young's double slit experiment, the intensity at a point is $$\left(\frac{1}{4}\right)^{\text {th }}$$ of the maxim
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If $$\vec{a}$$ and $$\vec{b}$$ makes an angle $$\cos ^{-1}\left(\frac{5}{9}\right)$$ with each other, then $$|\vec{a}+\v
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Two persons pull a wire towards themselves. Each person exerts a force of $$200 \mathrm{~N}$$ on the wire. Young's modul
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The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of $
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A star has $$100 \%$$ helium composition. It starts to convert three $${ }^4 \mathrm{He}$$ into one $${ }^{12} \mathrm{C
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A string is wrapped around the rim of a wheel of moment of inertia $$0.40 \mathrm{~kgm}^2$$ and radius $$10 \mathrm{~cm}
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When a coil is connected across a $$20 \mathrm{~V}$$ dc supply, it draws a current of $$5 \mathrm{~A}$$. When it is conn
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The current flowing through the $$1 \Omega$$ resistor is $$\frac{n}{10}$$ A. The value of $$n$$ is _______.
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