JEE Main 2024 (Online) 8th April Evening Shift

Paper was held on
Mon, Apr 8, 2024 9:30 AM

## Chemistry

Match List I with List II
Choose the correct answer from the options given below :

View Question Given below are two statements :
Statement (I) : A Buffer solution is the mixture of a salt and an acid or a base mixed

View Question Given below are two statements :
Statement (I) : All the following compounds react with p-toluenesulfonyl chloride.
$$\m

View Question Match List I with List II
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:soli

View Question Which one the following compounds will readily react with dilute $$\mathrm{NaOH}$$ ?

View Question The shape of carbocation is :

View Question When $$\psi_{\mathrm{A}}$$ and $$\psi_{\mathrm{B}}$$ are the wave functions of atomic orbitals, then $$\sigma^*$$ is rep

View Question The emf of cell $$\mathrm{Tl}\left|\underset{(0.001 \mathrm{M})}{\mathrm{Tl}^{+}}\right| \underset{(0.01 \mathrm{M})}{\m

View Question The reaction;
$$\frac{1}{2} \mathrm{H}_{2(\mathrm{~g})}+\mathrm{AgCl}_{(\mathrm{s})} \rightarrow \mathrm{H}_{(\mathrm{aq

View Question The correct sequence of acidic strength of the following aliphatic acids in their decreasing order is:
$$\mathrm{CH}_3 \

View Question For a reaction $$A \xrightarrow{\mathrm{K}_1} \mathrm{~B} \xrightarrow{\mathrm{K}_2} \mathrm{C}$$
If the rate of formati

View Question The equilibrium $$\mathrm{Cr}_2 \mathrm{O}_7^{2-} \rightleftharpoons 2 \mathrm{CrO}_4^{2-}$$ is shifted to the right in

View Question Identify the correct statements about p-block elements and their compounds.
(A) Non metals have higher electronegativity

View Question Given below are two statements :
Statement (I) : Fusion of $$\mathrm{MnO}_2$$ with $$\mathrm{KOH}$$ and an oxidising age

View Question Given below are two statements :
Statement (I) : $$\mathrm{S}_{\mathrm{N}} 2$$ reactions are 'stereospecific', indicatin

View Question Match List I with List II
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:soli

View Question IUPAC name of following hydrocarbon(X) is :

View Question Given below are two statements :
Statement (I) : Kjeldahl method is applicable to estimate nitrogen in pyridine.
Stateme

View Question Identify the incorrect statements about group 15 elements :
(A) Dinitrogen is a diatomic gas which acts like an inert ga

View Question In qualitative test for identification of presence of phosphorous, the compound is heated with an oxidising agent. Which

View Question $$\Delta_{\text {vap }} \mathrm{H}^{\ominus}$$ for water is $$+40.79 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ at 1 bar and $$10

View Question Total number of aromatic compounds among the following compounds is ______.

View Question Total number of unpaired electrons in the complex ions $$[\mathrm{Co}(\mathrm{NH}_3)_6]^{3+}$$ and $$[\mathrm{NiCl}_4]^{

View Question The total number of carbon atoms present in tyrosine, an amino acid, is ________.

View Question The number of optically active compounds from the following is _________.

View Question Two moles of benzaldehyde and one mole of acetone under alkaline conditions using aqueous $$\mathrm{NaOH}$$ after heatin

View Question A solution is prepared by adding 1 mole ethyl alcohol in 9 mole water. The mass percent of solute in the solution is ___

View Question Molality of an aqueous solution of urea is $$4.44 \mathrm{~m}$$. Mole fraction of urea in solution is $$x \times 10^{-3}

View Question Wavenumber for a radiation having 5800 $$\mathop A\limits^o $$ wavelength is $$x \times 10 \mathrm{~cm}^{-1}$$ The value

View Question Number of molecules having bond order 2 from the following molecules is _________. $$\mathrm{C}_2, \mathrm{O}_2, \mathrm

View Question ## Mathematics

Let $$y=y(x)$$ be the solution curve of the differential equation $$\sec y \frac{\mathrm{d} y}{\mathrm{~d} x}+2 x \sin y

View Question If the shortest distance between the lines $$\frac{x-\lambda}{2}=\frac{y-4}{3}=\frac{z-3}{4}$$ and $$\frac{x-2}{4}=\frac

View Question There are three bags $$X, Y$$ and $$Z$$. Bag $$X$$ contains 5 one-rupee coins and 4 five-rupee coins; Bag $$Y$$ contains

View Question The area of the region in the first quadrant inside the circle $$x^2+y^2=8$$ and outside the parabola $$y^2=2 x$$ is equ

View Question Let $$\overrightarrow{\mathrm{a}}=4 \hat{i}-\hat{j}+\hat{k}, \overrightarrow{\mathrm{b}}=11 \hat{i}-\hat{j}+\hat{k}$$ an

View Question If the line segment joining the points $$(5,2)$$ and $$(2, a)$$ subtends an angle $$\frac{\pi}{4}$$ at the origin, then

View Question If $$\alpha \neq \mathrm{a}, \beta \neq \mathrm{b}, \gamma \neq \mathrm{c}$$ and $$\left|\begin{array}{lll}\alpha & \mat

View Question Let $$\int_\limits\alpha^{\log _e 4} \frac{\mathrm{d} x}{\sqrt{\mathrm{e}^x-1}}=\frac{\pi}{6}$$. Then $$\mathrm{e}^\alph

View Question If the system of equations $$x+4 y-z=\lambda, 7 x+9 y+\mu z=-3,5 x+y+2 z=-1$$ has infinitely many solutions, then $$(2 \

View Question Let $$f(x)=\left\{\begin{array}{ccc}-\mathrm{a} & \text { if } & -\mathrm{a} \leq x \leq 0 \\ x+\mathrm{a} & \text { if

View Question In an increasing geometric progression of positive terms, the sum of the second and sixth terms is $$\frac{70}{3}$$ and

View Question For $$\mathrm{a}, \mathrm{b}>0$$, let $$f(x)= \begin{cases}\frac{\tan ((\mathrm{a}+1) x)+\mathrm{b} \tan x}{x}, & x 0\en

View Question Let $$A=\{2,3,6,8,9,11\}$$ and $$B=\{1,4,5,10,15\}$$. Let $$R$$ be a relation on $$A \times B$$ defined by
$$(a, b) R(c,

View Question Let $$\overrightarrow{\mathrm{a}}=\hat{i}+2 \hat{j}+3 \hat{k}, \overrightarrow{\mathrm{b}}=2 \hat{i}+3 \hat{j}-5 \hat{k}

View Question The sum of all possible values of $$\theta \in[-\pi, 2 \pi]$$, for which $$\frac{1+i \cos \theta}{1-2 i \cos \theta}$$ i

View Question The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets a

View Question If the function $$f(x)=2 x^3-9 \mathrm{ax}^2+12 \mathrm{a}^2 x+1, \mathrm{a}> 0$$ has a local maximum at $$x=\alpha$$ an

View Question If the value of $$\frac{3 \cos 36^{\circ}+5 \sin 18^{\circ}}{5 \cos 36^{\circ}-3 \sin 18^{\circ}}$$ is $$\frac{a \sqrt{5

View Question If the image of the point $$(-4,5)$$ in the line $$x+2 y=2$$ lies on the circle $$(x+4)^2+(y-3)^2=r^2$$, then $$r$$ is e

View Question If the term independent of $$x$$ in the expansion of $$\left(\sqrt{\mathrm{a}} x^2+\frac{1}{2 x^3}\right)^{10}$$ is 105

View Question Let $$\mathrm{a}, \mathrm{b}, \mathrm{c} \in \mathbf{N}$$ and $$\mathrm{a}

View Question The number of distinct real roots of the equation $$|x+1||x+3|-4|x+2|+5=0$$, is _______

View Question If $$\int \frac{1}{\sqrt[5]{(x-1)^4(x+3)^6}} \mathrm{~d} x=\mathrm{A}\left(\frac{\alpha x-1}{\beta x+3}\right)^B+\mathrm

View Question Let $$\mathrm{S}$$ be the focus of the hyperbola $$\frac{x^2}{3}-\frac{y^2}{5}=1$$, on the positive $$x$$-axis. Let $$\m

View Question Let $$\mathrm{P}(\alpha, \beta, \gamma)$$ be the image of the point $$\mathrm{Q}(1,6,4)$$ in the line $$\frac{x}{1}=\fra

View Question Let $$\mathrm{A}$$ be the region enclosed by the parabola $$y^2=2 x$$ and the line $$x=24$$. Then the maximum area of th

View Question Let $$\alpha|x|=|y| \mathrm{e}^{x y-\beta}, \alpha, \beta \in \mathbf{N}$$ be the solution of the differential equation

View Question If $$\alpha=\lim _\limits{x \rightarrow 0^{+}}\left(\frac{\mathrm{e}^{\sqrt{\tan x}}-\mathrm{e}^{\sqrt{x}}}{\sqrt{\tan x

View Question An arithmetic progression is written in the following way
The sum of all the terms of the 10th row is _________.

View Question Let a ray of light passing through the point $$(3,10)$$ reflects on the line $$2 x+y=6$$ and the reflected ray passes th

View Question ## Physics

A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross secti

View Question
A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in t

View Question The position of the image formed by the combination of lenses is :

View Question If $$\epsilon_{\mathrm{o}}$$ is the permittivity of free space and $$\mathrm{E}$$ is the electric field, then $$\epsilon

View Question Two satellite A and B go round a planet in circular orbits having radii 4R and R respectively. If the speed of $$\mathrm

View Question Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the h

View Question A diatomic gas $$(\gamma=1.4)$$ does $$100 \mathrm{~J}$$ of work in an isobaric expansion. The heat given to the gas is

View Question If $$M_0$$ is the mass of isotope $${ }_5^{12} B, M_p$$ and $$M_n$$ are the masses of proton and neutron, then nuclear b

View Question A given object takes $$\mathrm{n}$$ times the time to slide down $$45^{\circ}$$ rough inclined plane as it takes the tim

View Question There are 100 divisions on the circular scale of a screw gauge of pitch $$1 \mathrm{~mm}$$. With no measuring quantity i

View Question A capacitor has air as dielectric medium and two conducting plates of area $$12 \mathrm{~cm}^2$$ and they are $$0.6 \mat

View Question Least count of a vernier caliper is $$\frac{1}{20 \mathrm{~N}} \mathrm{~cm}$$. The value of one division on the main sca

View Question A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in

View Question Given below are two statements :
Statement (I) : The mean free path of gas molecules is inversely proportional to square

View Question The angle of projection for a projectile to have same horizontal range and maximum height is :

View Question A proton and an electron have the same de Broglie wavelength. If $$\mathrm{K}_{\mathrm{p}}$$ and $$\mathrm{K}_{\mathrm{e

View Question In a hypothetical fission reaction
$${ }_{92} X^{236} \rightarrow{ }_{56} \mathrm{Y}^{141}+{ }_{36} Z^{92}+3 R$$
The ide

View Question A thin circular disc of mass $$\mathrm{M}$$ and radius $$\mathrm{R}$$ is rotating in a horizontal plane about an axis pa

View Question A coil of negligible resistance is connected in series with $$90 \Omega$$ resistor across $$120 \mathrm{~V}, 60 \mathrm{

View Question A plane progressive wave is given by $$y=2 \cos 2 \pi(330 \mathrm{t}-x) \mathrm{m}$$. The frequency of the wave is :

View Question An alternating emf $$\mathrm{E}=110 \sqrt{2} \sin 100 \mathrm{t}$$ volt is applied to a capacitor of $$2 \mu \mathrm{F}$

View Question If the net electric field at point $$\mathrm{P}$$ along $$\mathrm{Y}$$ axis is zero, then the ratio of $$\left|\frac{q_2

View Question Two slits are $$1 \mathrm{~mm}$$ apart and the screen is located $$1 \mathrm{~m}$$ away from the slits. A light of wavel

View Question A potential divider circuit is connected with a dc source of $$20 \mathrm{~V}$$, a light emitting diode of glow in volta

View Question An object of mass $$0.2 \mathrm{~kg}$$ executes simple harmonic motion along $$x$$ axis with frequency of $$\left(\frac{

View Question A circular table is rotating with an angular velocity of $$\omega \mathrm{~rad} / \mathrm{s}$$ about its axis (see figur

View Question A heater is designed to operate with a power of $$1000 \mathrm{~W}$$ in a $$100 \mathrm{~V}$$ line. It is connected in c

View Question Small water droplets of radius $$0.01 \mathrm{~mm}$$ are formed in the upper atmosphere and falling with a terminal velo

View Question The coercivity of a magnet is $$5 \times 10^3 \mathrm{~A} / \mathrm{m}$$. The amount of current required to be passed in

View Question A body of mass M thrown horizontally with velocity v from the top of the tower of height H touches the ground at a dista

View Question