JEE Main 2024 (Online) 9th April Morning Shift

Paper was held on
Tue, Apr 9, 2024 3:30 AM

## Chemistry

Identify the product A and product B in the following set of reactions.

View Question The molar conductivity for electrolytes $$A$$ and $$B$$ are plotted against $$C^{3 / 2}$$ as shown below. Electrolytes $

View Question Given below are two statements :
Statement (I) : The oxidation state of an element in a particular compound is the charg

View Question $$0.05 \mathrm{M} \mathrm{~CuSO}_4$$ when treated with $$0.01 \mathrm{M} \mathrm{~K}_2 \mathrm{Cr}_2 \mathrm{O}_7$$ give

View Question Identify major product "X" formed in the following reaction :

View Question The $$\mathrm{F}^{-}$$ ions make the enamel on teeth much harder by converting hydroxyapatite (the enamel on the surface

View Question Identify the incorrect statements regarding primary standard of titrimetric analysis.
(A) It should be purely available

View Question
What is the structure of C?

View Question The electronic configuration of $$\mathrm{Cu}(\mathrm{II})$$ is $$3 \mathrm{~d}^9$$ whereas that of $$\mathrm{Cu}(\mathr

View Question In which one of the following pairs the central atoms exhibit $$\mathrm{sp}^2$$ hybridization ?

View Question Relative stability of the contributing structures is :

View Question Correct order of basic strength of Pyrrole , Pyridine and Piperidine is :

View Question For the given compounds, the correct order of increasing $$\mathrm{pK}_{\mathrm{a}}$$ value :
Choose the correct answer

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 Methods used for purification of organic compounds are based on :

View Question Compare the energies of following sets of quantum numbers for multielectron system.
(A) $$\mathrm{n}=4,1=1$$
(B) $$\math

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 On reaction of Lead Sulphide with dilute nitric acid which of the following is not formed?

View Question In the following sequence of reaction, the major products B and C respectively are :

View Question The standard reduction potentials at $$298 \mathrm{~K}$$ for the following half cells are given below :
$$\mathrm{Cr}_2

View Question Total number of essential amino acid among the given list of amino acids is ________.
Arginine, Phenylalanine, Aspartic

View Question Number of ambidentate ligands among the following is _________.
$$\mathrm{NO}_2^{-}, \mathrm{SCN}^{-}, \mathrm{C}_2 \mat

View Question Number of colourless lanthanoid ions among the following is __________. $$\mathrm{Eu}^{3+}, \mathrm{Lu}^{3+}, \mathrm{Nd

View Question The total number of species from the following in which one unpaired electron is present, is _______.
$$\mathrm{N}_2, \m

View Question Given below are two statements :
Statement I : The rate law for the reaction $$A+B \rightarrow C$$ is rate $$(r)=k[A]^2[

View Question How many compounds among the following compounds show inductive, mesomeric as well as hyperconjugation effects?

View Question When equal volume of $$1 \mathrm{~M} \mathrm{~HCl}$$ and $$1 \mathrm{~M} \mathrm{~H}_2 \mathrm{SO}_4$$ are separately ne

View Question The heat of solution of anhydrous $$\mathrm{CuSO}_4$$ and $$\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}$$ are $$-70

View Question Molarity $$(\mathrm{M})$$ of an aqueous solution containing $$x \mathrm{~g}$$ of anhyd. $$\mathrm{CuSO}_4$$ in $$500 \ma

View Question ## 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

View Question Let three vectors ,$$\overrightarrow{\mathrm{a}}=\alpha \hat{i}+4 \hat{j}+2 \hat{k}, \overrightarrow{\mathrm{b}}=5 \hat{

View Question 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

View Question 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

View Question The solution of the differential equation $$(x^2+y^2) \mathrm{d} x-5 x y \mathrm{~d} y=0, y(1)=0$$, is :

View Question Let $$|\cos \theta \cos (60-\theta) \cos (60+\theta)| \leq \frac{1}{8}, \theta \epsilon[0,2 \pi]$$. Then, the sum of all

View Question 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+

View Question 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

View Question The frequency distribution of the age of students in a class of 40 students is given below.
.tg {border-collapse:colla

View Question Let a circle passing through $$(2,0)$$ have its centre at the point $$(\mathrm{h}, \mathrm{k})$$. Let $$(x_{\mathrm{c}},

View Question 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)+

View Question Let $$\alpha, \beta$$ be the roots of the equation $$x^2+2 \sqrt{2} x-1=0$$. The quadratic equation, whose roots are $$\

View Question 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

View Question 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}{-

View Question A variable line $$\mathrm{L}$$ passes through the point $$(3,5)$$ and intersects the positive coordinate axes at the poi

View Question The solution curve, of the differential equation $$2 y \frac{\mathrm{d} y}{\mathrm{~d} x}+3=5 \frac{\mathrm{d} y}{\mathr

View Question 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

View Question A ray of light coming from the point $$\mathrm{P}(1,2)$$ gets reflected from the point $$\mathrm{Q}$$ on the $$x$$-axis

View Question 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

View Question Let $$\overrightarrow{O A}=2 \vec{a}, \overrightarrow{O B}=6 \vec{a}+5 \vec{b}$$ and $$\overrightarrow{O C}=3 \vec{b}$$,

View Question 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_

View Question 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{

View Question Let $$f:(0, \pi) \rightarrow \mathbf{R}$$ be a function given by $$f(x)=\left\{\begin{array}{cc}\left(\frac{8}{7}\right)

View Question The remainder when $$428^{2024}$$ is divided by 21 is __________.

View Question If a function $$f$$ satisfies $$f(\mathrm{~m}+\mathrm{n})=f(\mathrm{~m})+f(\mathrm{n})$$ for all $$\mathrm{m}, \mathrm{n

View Question 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

View Question The sum of the square of the modulus of the elements in the set $$\{z=\mathrm{a}+\mathrm{ib}: \mathrm{a}, \mathrm{b} \in

View Question Let the set of all positive values of $$\lambda$$, for which the point of local minimum of the function $$(1+x(\lambda^2

View Question Let $$A$$ be a non-singular matrix of order 3. If $$\operatorname{det}(3 \operatorname{adj}(2 \operatorname{adj}((\opera

View Question Let $$\mathrm{a}, \mathrm{b}$$ and $$\mathrm{c}$$ denote the outcome of three independent rolls of a fair tetrahedral di

View Question ## Physics

A plane EM wave is propagating along $$x$$ direction. It has a wavelength of $$4 \mathrm{~mm}$$. If electric field is in

View Question A galvanmeter has a coil of resistance $$200 \Omega$$ with a full scale deflection at $$20 \mu \mathrm{A}$$. The value o

View Question The dimensional formula of latent heat is :

View Question A sphere of relative density $$\sigma$$ and diameter $$D$$ has concentric cavity of diameter $$d$$. The ratio of $$\frac

View Question The volume of an ideal gas $$(\gamma=1.5)$$ is changed adiabatically from 5 litres to 4 litres. The ratio of initial pre

View Question A light emitting diode (LED) is fabricated using GaAs semiconducting material whose band gap is $$1.42 \mathrm{~eV}$$. T

View Question A particle of mass $$m$$ moves on a straight line with its velocity increasing with distance according to the equation $

View Question Given below are two statements :
Statement (I) : When currents vary with time, Newton's third law is valid only if momen

View Question A particle moving in a straight line covers half the distance with speed $$6 \mathrm{~m} / \mathrm{s}$$. The other half

View Question Given below are two statements :
Statement (I) : When an object is placed at the centre of curvature of a concave lens,

View Question A sample of 1 mole gas at temperature $$T$$ is adiabatically expanded to double its volume. If adiab constant for the ga

View Question 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

View Question One main scale division of a vernier caliper is equal to $$\mathrm{m}$$ units. If $$\mathrm{n}^{\text {th }}$$ division

View Question 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

View Question A light unstretchable string passing over a smooth light pulley connects two blocks of masses $$m_1$$ and $$m_2$$. If th

View Question The energy equivalent of $$1 \mathrm{~g}$$ of substance is :

View Question The equivalent resistance between A and B is :

View Question An astronaut takes a ball of mass $$m$$ from earth to space. He throws the ball into a circular orbit about earth at an

View Question A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of th

View Question A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as :

View Question A square loop of edge length $$2 \mathrm{~m}$$ carrying current of $$2 \mathrm{~A}$$ is placed with its edges parallel t

View Question At the centre of a half ring of radius $$\mathrm{R}=10 \mathrm{~cm}$$ and linear charge density $$4 \mathrm{n} \mathrm{~

View Question In a Young's double slit experiment, the intensity at a point is $$\left(\frac{1}{4}\right)^{\text {th }}$$ of the maxim

View Question If $$\vec{a}$$ and $$\vec{b}$$ makes an angle $$\cos ^{-1}\left(\frac{5}{9}\right)$$ with each other, then $$|\vec{a}+\v

View Question Two persons pull a wire towards themselves. Each person exerts a force of $$200 \mathrm{~N}$$ on the wire. Young's modul

View Question The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of $

View Question A star has $$100 \%$$ helium composition. It starts to convert three $${ }^4 \mathrm{He}$$ into one $${ }^{12} \mathrm{C

View Question A string is wrapped around the rim of a wheel of moment of inertia $$0.40 \mathrm{~kgm}^2$$ and radius $$10 \mathrm{~cm}

View Question When a coil is connected across a $$20 \mathrm{~V}$$ dc supply, it draws a current of $$5 \mathrm{~A}$$. When it is conn

View Question The current flowing through the $$1 \Omega$$ resistor is $$\frac{n}{10}$$ A. The value of $$n$$ is _______.

View Question