JEE Main 2024 (Online) 6th April Evening Shift

Paper was held on
Sat, Apr 6, 2024 9:30 AM

## Chemistry

The number of ions from the following that are expected to behave as oxidising agent is :
$$\mathrm{Sn}^{4+}, \mathrm{Sn

View Question
The correct arrangement for decreasing order of electrophilic substitution for above compounds is :

View Question During the detection of acidic radical present in a salt, a student gets a pale yellow precipitate soluble with difficul

View Question Consider the given reaction, identify the major product P.

View Question Match List I with List II.
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View Question Identify the product A in the following reaction.

View Question The correct statement among the following, for a "chromatography" purification method is :

View Question
Consider the above chemical reaction. Product "A" is :

View Question How can an electrochemical cell be converted into an electrolytic cell ?

View Question Given below are two statements :
Statement I: $$\mathrm{PF}_5$$ and $$\mathrm{BrF}_5$$ both exhibit $$\mathrm{sp}^3 \mat

View Question Match List I with List II.
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View Question Molality $$(\mathrm{m})$$ of $$3 \mathrm{M}$$ aqueous solution of $$\mathrm{NaCl}$$ is :
(Given : Density of solution $$

View Question Evaluate the following statements related to group 14 elements for their correctness.
(A) Covalent radius decreases down

View Question Arrange the following elements in the increasing order of number of unpaired electrons in it.
(A) $$\mathrm{Sc}$$
(B) $$

View Question The major products formed :
A and B respectively are :

View Question The incorrect statements regarding enzymes are :
(A) Enzymes are biocatalysts.
(B) Enzymes are non-specific and can cata

View Question Match List I with List II.
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View Question The ratio $$\frac{K_P}{K_C}$$ for the reaction :
$$\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \

View Question The correct IUPAC name of $$[\mathrm{PtBr}_2(\mathrm{PMe}_3)_2]$$ is :

View Question The incorrect statement regarding the geometrical isomers of 2-butene is :

View Question Consider the following reactions
The number of protons that do not involve in hydrogen bonding in the product B is ____

View Question For the reaction at $$298 \mathrm{~K}, 2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C}, \Delta \mathrm{H}=400 \mathrm{~k

View Question Number of carbocations from the following that are not stabilized by hyperconjugation is _______.

View Question When '$$x$$' $$\times 10^{-2} \mathrm{~mL}$$ methanol (molar mass $$=32 \mathrm{~g}$$' density $$=0.792 \mathrm{~g} / \m

View Question For hydrogen atom, energy of an electron in first excited state is $$-3.4 \mathrm{~eV}, \mathrm{K} . \mathrm{E}$$. of th

View Question Consider the two different first order reactions given below
$$\begin{aligned}
& \mathrm{A}+\mathrm{B} \rightarrow \math

View Question An amine $$(\mathrm{X})$$ is prepared by ammonolysis of benzyl chloride. On adding p-toluenesulphonyl chloride to it the

View Question Among $$\mathrm{VO}_2^{+}, \mathrm{MnO}_4^{-}$$ and $$\mathrm{Cr}_2 \mathrm{O}_7^{2-}$$, the spin-only magnetic moment v

View Question
The ratio of number of oxygen atoms to bromine atoms in the product Q is _________ $$\times 10^{-1}$$.

View Question Total number of species from the following with central atom utilising $$\mathrm{sp}^2$$ hybrid orbitals for bonding is

View Question ## Mathematics

If the function $$f(x)=\left(\frac{1}{x}\right)^{2 x} ; x>0$$ attains the maximum value at $$x=\frac{1}{\mathrm{e}}$$ th

View Question If $$z_1, z_2$$ are two distinct complex number such that $$\left|\frac{z_1-2 z_2}{\frac{1}{2}-z_1 \bar{z}_2}\right|=2$$

View Question Let $$\mathrm{A}=\{1,2,3,4,5\}$$. Let $$\mathrm{R}$$ be a relation on $$\mathrm{A}$$ defined by $$x \mathrm{R} y$$ if an

View Question Let $$f(x)=\frac{1}{7-\sin 5 x}$$ be a function defined on $$\mathbf{R}$$. Then the range of the function $$f(x)$$ is eq

View Question $$\lim _\limits{n \rightarrow \infty} \frac{\left(1^2-1\right)(n-1)+\left(2^2-2\right)(n-2)+\cdots+\left((n-1)^2-(n-1)\r

View Question If $$A$$ is a square matrix of order 3 such that $$\operatorname{det}(A)=3$$ and $$\operatorname{det}\left(\operatorname

View Question If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are

View Question Let $$\vec{a}=2 \hat{i}+\hat{j}-\hat{k}, \vec{b}=((\vec{a} \times(\hat{i}+\hat{j})) \times \hat{i}) \times \hat{i}$$. Th

View Question Let $$\overrightarrow{\mathrm{a}}=6 \hat{i}+\hat{j}-\hat{k}$$ and $$\overrightarrow{\mathrm{b}}=\hat{i}+\hat{j}$$. If $$

View Question If the area of the region $$\left\{(x, y): \frac{\mathrm{a}}{x^2} \leq y \leq \frac{1}{x}, 1 \leq x \leq 2,0

View Question Let $$\mathrm{P}(\alpha, \beta, \gamma)$$ be the image of the point $$\mathrm{Q}(3,-3,1)$$ in the line $$\frac{x-0}{1}=\

View Question Let $$A B C$$ be an equilateral triangle. A new triangle is formed by joining the middle points of all sides of the tria

View Question Suppose the solution of the differential equation $$\frac{d y}{d x}=\frac{(2+\alpha) x-\beta y+2}{\beta x-2 \alpha y-(\b

View Question A software company sets up m number of computer systems to finish an assignment in 17 days. If 4 computer systems crashe

View Question If $$\mathrm{P}(6,1)$$ be the orthocentre of the triangle whose vertices are $$\mathrm{A}(5,-2), \mathrm{B}(8,3)$$ and $

View Question If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary

View Question Suppose for a differentiable function $$h, h(0)=0, h(1)=1$$ and $$h^{\prime}(0)=h^{\prime}(1)=2$$. If $$g(x)=h\left(\mat

View Question Let $$0 \leq r \leq n$$. If $${ }^{n+1} C_{r+1}:{ }^n C_r:{ }^{n-1} C_{r-1}=55: 35: 21$$, then $$2 n+5 r$$ is equal to :

View Question If $$\int \frac{1}{\mathrm{a}^2 \sin ^2 x+\mathrm{b}^2 \cos ^2 x} \mathrm{~d} x=\frac{1}{12} \tan ^{-1}(3 \tan x)+$$ con

View Question If the locus of the point, whose distances from the point $$(2,1)$$ and $$(1,3)$$ are in the ratio $$5: 4$$, is $$a x^2+

View Question Let $$[t]$$ denote the greatest integer less than or equal to $$t$$. Let $$f:[0, \infty) \rightarrow \mathbf{R}$$ be a f

View Question In a triangle $$\mathrm{ABC}, \mathrm{BC}=7, \mathrm{AC}=8, \mathrm{AB}=\alpha \in \mathrm{N}$$ and $$\cos \mathrm{A}=\f

View Question Let $$[t]$$ denote the largest integer less than or equal to $$t$$. If $$\int_\limits0^3\left(\left[x^2\right]+\left[\fr

View Question If the solution $$y(x)$$ of the given differential equation $$\left(e^y+1\right) \cos x \mathrm{~d} x+\mathrm{e}^y \sin

View Question If the shortest distance between the lines $$\frac{x-\lambda}{3}=\frac{y-2}{-1}=\frac{z-1}{1}$$ and $$\frac{x+2}{-3}=\fr

View Question The length of the latus rectum and directrices of hyperbola with eccentricity e are 9 and $$x= \pm \frac{4}{\sqrt{3}}$$,

View Question Let $$\alpha, \beta$$ be roots of $$x^2+\sqrt{2} x-8=0$$. If $$\mathrm{U}_{\mathrm{n}}=\alpha^{\mathrm{n}}+\beta^{\mathr

View Question If the system of equations
$$\begin{aligned}
& 2 x+7 y+\lambda z=3 \\
& 3 x+2 y+5 z=4 \\
& x+\mu y+32 z=-1
\end{aligned}

View Question If $$\mathrm{S}(x)=(1+x)+2(1+x)^2+3(1+x)^3+\cdots+60(1+x)^{60}, x \neq 0$$, and $$(60)^2 \mathrm{~S}(60)=\mathrm{a}(\mat

View Question From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable $$X$$ de

View Question ## Physics

A car of $$800 \mathrm{~kg}$$ is taking turn on a banked road of radius $$300 \mathrm{~m}$$ and angle of banking $$30^{\

View Question A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in $$t_1$$. If it is

View Question Given below are two statements:
Statement (I) : Dimensions of specific heat is $$[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{

View Question A body of weight $$200 \mathrm{~N}$$ is suspended from a tree branch through a chain of mass $$10 \mathrm{~kg}$$. The br

View Question The number of electrons flowing per second in the filament of a $$110 \mathrm{~W}$$ bulb operating at $$220 \mathrm{~V}$

View Question The acceptor level of a p-type semiconductor is $$6 \mathrm{~eV}$$. The maximum wavelength of light which can create a h

View Question In a vernier calliper, when both jaws touch each other, zero of the vernier scale shifts towards left and its $$4^{\text

View Question In a coil, the current changes from $$-2 \mathrm{~A}$$ to $$+2 \mathrm{~A}$$ in $$0.2 \mathrm{~s}$$ and induces an emf o

View Question Energy of 10 non rigid diatomic molecules at temperature $$\mathrm{T}$$ is :

View Question When UV light of wavelength $$300 \mathrm{~nm}$$ is incident on the metal surface having work function $$2.13 \mathrm{~e

View Question Match List I with List II:
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View Question For the thin convex lens, the radii of curvature are at $$15 \mathrm{~cm}$$ and $$30 \mathrm{~cm}$$ respectively. The fo

View Question Two identical conducting spheres P and S with charge Q on each, repel each other with a force $$16 \mathrm{~N}$$. A thir

View Question The longest wavelength associated with Paschen series is : (Given $$\mathrm{R}_{\mathrm{H}}=1.097 \times 10^7 \mathrm{SI

View Question A total of $$48 \mathrm{~J}$$ heat is given to one mole of helium kept in a cylinder. The temperature of helium increase

View Question When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the bod

View Question Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : $$\mathrm{R}=$$ Radius of bub

View Question Assuming the earth to be a sphere of uniform mass density, a body weighed $$300 \mathrm{~N}$$ on the surface of earth. H

View Question In finding out refractive index of glass slab the following observations were made through travelling microscope 50 vern

View Question In the given electromagnetic wave $$\mathrm{E}_{\mathrm{y}}=600 \sin (\omega t-\mathrm{kx}) \mathrm{Vm}^{-1}$$, intensit

View Question For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is $$2.5 \ma

View Question Three balls of masses $$2 \mathrm{~kg}, 4 \mathrm{~kg}$$ and $$6 \mathrm{~kg}$$ respectively are arranged at centre of t

View Question In the given figure an ammeter A consists of a $$240 \Omega$$ coil connected in parallel to a $$10 \Omega$$ shunt. The r

View Question A coil having 100 turns, area of $$5 \times 10^{-3} \mathrm{~m}^2$$, carrying current of $$1 \mathrm{~mA}$$ is placed in

View Question A capacitor of $$10 \mu \mathrm{F}$$ capacitance whose plates are separated by $$10 \mathrm{~mm}$$ through air and each

View Question A particle moves in a straight line so that its displacement $$x$$ at any time $$t$$ is given by $$x^2=1+t^2$$. Its acce

View Question Two coherent monochromatic light beams of intensities I and $$4 \mathrm{~I}$$ are superimposed. The difference between m

View Question Two open organ pipes of lengths $$60 \mathrm{~cm}$$ and $$90 \mathrm{~cm}$$ resonate at $$6^{\text {th }}$$ and $$5^{\te

View Question In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at $$10.2 \mathrm{~V}$$.

View Question A wire of cross sectional area A, modulus of elasticity $$2 \times 10^{11} \mathrm{~Nm}^{-2}$$ and length $$2 \mathrm{~m

View Question