JEE Main 2024 (Online) 5th April Morning Shift

Paper was held on
Fri, Apr 5, 2024 3:30 AM

## Chemistry

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 statement :
Statements I : Bromination of phenol in solvent with low polarity such as $$\mathrm{CHCl

View Question The incorrect postulates of the Dalton's atomic theory are :
(A) Atoms of different elements differ in mass.
(B) Matter

View Question Given below are two statements :
Statement I :
Nitration of benzene involves the following step -
Statement II : Use of

View Question Which of the following gives a positive test with ninhydrin ?

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:
Statement I: In group 13, the stability of +1 oxidation state increases down the group.

View Question The metal that shows highest and maximum number of oxidation state is :

View Question Number of $$\sigma$$ and $$\pi$$ bonds present in ethylene molecule is respectively :

View Question An organic compound has $$42.1 \%$$ carbon, $$6.4 \%$$ hydrogen and remainder is oxygen. If its molecular weight is 342

View Question For the Compounds :
(A) $$\mathrm{H}_3 \mathrm{C}-\mathrm{CH}_2-\mathrm{O}-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CH}_3$$
(

View Question The correct order of ligands arranged in increasing field strength.

View Question The number of neutrons present in the more abundant isotope of boron is '$$x$$'. Amorphous boron upon heating with air f

View Question Which one of the following complexes will exhibit the least paramagnetic behaviour ?
[Atomic number, $$\mathrm{Cr}=24, \

View Question Molar ionic conductivities of divalent cation and anion are $$57 \mathrm{~S~cm}^2 \mathrm{~mol}^{-1}$$ and $$73 \mathrm{

View Question Identify 'A' in the following reaction :

View Question The statement(s) that are correct about the species $$\mathrm{O}^{2-}, \mathrm{F}^{-}, \mathrm{Na}^{+}$$ and $$\mathrm{M

View Question The reaction at cathode in the cells commonly used in clocks involves.

View Question The following reaction occurs in the Blast furnance where iron ore is reduced to iron metal
$$\mathrm{Fe}_2 \mathrm{O}_{

View Question Identify compound (Z) in the following reaction sequence.

View Question The spin-only magnetic moment value of the ion among $$\mathrm{Ti}^{2+}, \mathrm{V}^{2+}, \mathrm{Co}^{3+}$$ and $$\math

View Question The heat of combustion of solid benzoic acid at constant volume is $$-321.30 \mathrm{~kJ}$$ at $$27^{\circ} \mathrm{C}$$

View Question
In a borax bead test under hot condition, a metal salt (one from the given) is heated at point B of the flame, resulted

View Question The number of halobenzenes from the following that can be prepared by Sandmeyer's reaction is _________

View Question An artificial cell is made by encapsulating $$0.2 \mathrm{~M}$$ glucose solution within a semipermeable membrane. The os

View Question In the lewis dot structure for $$\mathrm{NO}_2^{-}$$, total number of valence electrons around nitrogen is _________.

View Question The value of Rydberg constant $$(R_H)$$ is $$2.18 \times 10^{-18} \mathrm{~J}$$. The velocity of electron having mass $$

View Question $$9.3 \mathrm{~g}$$ of pure aniline is treated with bromine water at room temperature to give a white precipitate of the

View Question Consider the given chemical reaction sequence :
Total sum of oxygen atoms in Product A and Product B are ________.

View Question During Kinetic study of reaction $$\mathrm{2 A+B \rightarrow C+D}$$, the following results were obtained :
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View Question ## Mathematics

Let a rectangle ABCD of sides 2 and 4 be inscribed in another rectangle PQRS such that the vertices of the rectangle ABC

View Question Let $$A=\{1,3,7,9,11\}$$ and $$B=\{2,4,5,7,8,10,12\}$$. Then the total number of one-one maps $$f: A \rightarrow B$$, su

View Question Let two straight lines drawn from the origin $$\mathrm{O}$$ intersect the line $$3 x+4 y=12$$ at the points $$\mathrm{P}

View Question If the line $$\frac{2-x}{3}=\frac{3 y-2}{4 \lambda+1}=4-z$$ makes a right angle with the line $$\frac{x+3}{3 \mu}=\frac{

View Question Consider the following two statements :
Statement I: For any two non-zero complex numbers $$z_1, z_2,(|z_1|+|z_2|)\left|

View Question Let A and B be two square matrices of order 3 such that $$\mathrm{|A|=3}$$ and $$\mathrm{|B|=2}$$. Then $$|\mathrm{A}^{\

View Question Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point $$(3,2)$$ and paral

View Question Let $$f(x)=x^5+2 x^3+3 x+1, x \in \mathbf{R}$$, and $$g(x)$$ be a function such that $$g(f(x))=x$$ for all $$x \in \math

View Question The coefficients $$a, b, c$$ in the quadratic equation $$a x^2+b x+c=0$$ are chosen from the set $$\{1,2,3,4,5,6,7,8\}$$

View Question If the system of equations
$$\begin{array}{r}
11 x+y+\lambda z=-5 \\
2 x+3 y+5 z=3 \\
8 x-19 y-39 z=\mu
\end{array}$$
ha

View Question The integral $$\int_\limits0^{\pi / 4} \frac{136 \sin x}{3 \sin x+5 \cos x} \mathrm{~d} x$$ is equal to :

View Question If $$\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\ldots+\frac{1}{\sqrt{99}+\sqrt{100}}=m$$ and $$\frac{1}{1

View Question Let $$\mathrm{d}$$ be the distance of the point of intersection of the lines $$\frac{x+6}{3}=\frac{y}{2}=\frac{z+1}{1}$$

View Question If the function $$f(x)=\frac{\sin 3 x+\alpha \sin x-\beta \cos 3 x}{x^3}, x \in \mathbf{R}$$, is continuous at $$x=0$$,

View Question Let the line $$2 x+3 y-\mathrm{k}=0, \mathrm{k}>0$$, intersect the $$x$$-axis and $$y$$-axis at the points $$\mathrm{A}$

View Question The value of $$\int_\limits{-\pi}^\pi \frac{2 y(1+\sin y)}{1+\cos ^2 y} d y$$ is :

View Question Suppose $$\theta \in\left[0, \frac{\pi}{4}\right]$$ is a solution of $$4 \cos \theta-3 \sin \theta=1$$. Then $$\cos \the

View Question For the function
$$f(x)=\sin x+3 x-\frac{2}{\pi}\left(x^2+x\right), \text { where } x \in\left[0, \frac{\pi}{2}\right],$

View Question If $$\mathrm{A}(1,-1,2), \mathrm{B}(5,7,-6), \mathrm{C}(3,4,-10)$$ and $$\mathrm{D}(-1,-4,-2)$$ are the vertices of a qu

View Question If $$y=y(x)$$ is the solution of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}+2 y=\sin (2 x), y(0)=\fr

View Question The area of the region enclosed by the parabolas $$y=x^2-5 x$$ and $$y=7 x-x^2$$ is ________.

View Question From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable

View Question Suppose $$\mathrm{AB}$$ is a focal chord of the parabola $$y^2=12 x$$ of length $$l$$ and slope $$\mathrm{m}

View Question The number of ways of getting a sum 16 on throwing a dice four times is ________.

View Question Let $$f$$ be a differentiable function in the interval $$(0, \infty)$$ such that $$f(1)=1$$ and $$\lim _\limits{t \right

View Question If $$S=\{a \in \mathbf{R}:|2 a-1|=3[a]+2\{a \}\}$$, where $$[t]$$ denotes the greatest integer less than or equal to $$t

View Question Let $$a_1, a_2, a_3, \ldots$$ be in an arithmetic progression of positive terms.
Let $$A_k=a_1^2-a_2^2+a_3^2-a_4^2+\ldot

View Question Let $$\overrightarrow{\mathrm{a}}=\hat{i}-3 \hat{j}+7 \hat{k}, \overrightarrow{\mathrm{b}}=2 \hat{i}-\hat{j}+\hat{k}$$ a

View Question If the constant term in the expansion of $$\left(1+2 x-3 x^3\right)\left(\frac{3}{2} x^2-\frac{1}{3 x}\right)^9$$ is $$\

View Question The number of distinct real roots of the equation $$|x||x+2|-5|x+1|-1=0$$ is __________.

View Question ## Physics

A body of mass $$50 \mathrm{~kg}$$ is lifted to a height of $$20 \mathrm{~m}$$ from the ground in the two different ways

View Question If $$\mathrm{G}$$ be the gravitational constant and $$\mathrm{u}$$ be the energy density then which of the following qua

View Question An alternating voltage of amplitude $$40 \mathrm{~V}$$ and frequency $$4 \mathrm{~kHz}$$ is applied directly across the

View Question Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about th

View Question In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the

View Question A simple pendulum doing small oscillations at a place $$R$$ height above earth surface has time period of $$T_1=4 \mathr

View Question Match List I with List II :
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View Question The heat absorbed by a system in going through the given cyclic process is :

View Question In the given figure $$\mathrm{R}_1=10 \Omega, \mathrm{R}_2=8 \Omega, \mathrm{R}_3=4 \Omega$$ and $$\mathrm{R}_4=8 \Omega

View Question Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The

View Question If the collision frequency of hydrogen molecules in a closed chamber at $$27^{\circ} \mathrm{C}$$ is $$\mathrm{Z}$$, the

View Question Given below are two statements :
Statement I : Figure shows the variation of stopping potential with frequency $$(v)$$

View Question Following gates section is connected in a complete suitable circuit.
For which of the following combination, bulb will

View Question Given below are two statements :
Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises n

View Question Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront of the light is :

View Question An electron rotates in a circle around a nucleus having positive charge $$\mathrm{Ze}$$. Correct relation between total

View Question Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as

View Question The angle between vector $$\vec{Q}$$ and the resultant of $$(2 \vec{Q}+2 \vec{P})$$ and $$(2 \vec{Q}-2 \vec{P})$$ is :

View Question In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions.

View Question A wooden block of mass $$5 \mathrm{~kg}$$ rests on a soft horizontal floor. When an iron cylinder of mass $$25 \mathrm{~

View Question The electric field between the two parallel plates of a capacitor of $$1.5 \mu \mathrm{F}$$ capacitance drops to one thi

View Question If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is
________ $$\times 1

View Question Three blocks $$\mathrm{M_1, M_2, M_3}$$ having masses $$4 \mathrm{~kg}, 6 \mathrm{~kg}$$ and $$10 \mathrm{~kg}$$ respect

View Question Three capacitors of capacitances $$25 \mu \mathrm{F}, 30 \mu \mathrm{F}$$ and $$45 \mu \mathrm{F}$$ are connected in par

View Question In the experiment to determine the galvanometer resistance by half-deflection method, the plot of $$1 / \theta$$ vs the

View Question The density and breaking stress of a wire are $$6 \times 10^4 \mathrm{~kg} / \mathrm{m}^3$$ and $$1.2 \times 10^8 \mathr

View Question An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of $$20 \mu \ma

View Question A body moves on a frictionless plane starting from rest. If $$\mathrm{S_n}$$ is distance moved between $$\mathrm{t=n-1}$

View Question In Young's double slit experiment, carried out with light of wavelength $$5000~\mathop A\limits^o$$, the distance betwee

View Question A 2A current carrying straight metal wire of resistance $$1 \Omega$$, resistivity $$2 \times 10^{-6} \Omega \mathrm{m}$$

View Question