JEE Main 2024 (Online) 29th January Evening Shift

Paper was held on
Mon, Jan 29, 2024 9:30 AM

## Chemistry

On passing a gas, '$$\mathrm{X}$$', through Nessler's regent, a brown precipitate is obtained. The gas '$$\mathrm{X}$$'

View Question Match List I with List II
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View Question Which of the following acts as a strong reducing agent? (Atomic number: $$\mathrm{Ce}=58, \mathrm{Eu}=63, \mathrm{Gd}=64

View Question Given below are two statements:
Statement I : Fluorine has most negative electron gain enthalpy in its group.
Statement

View Question According to IUPAC system, the compound
is named as

View Question Match List I with List II
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View Question The element having the highest first ionization enthalpy is

View Question Which of the following statements are correct about $$\mathrm{Zn}, \mathrm{Cd}$$ and $$\mathrm{Hg}$$ ?
A. They exhibit h

View Question The ascending acidity order of the following H atoms is

View Question The correct IUPAC name of $$\mathrm{K}_2 \mathrm{MnO}_4$$ is

View Question Identify the reagents used for the following conversion

View Question Chromatographic technique/s based on the principle of differential adsorption is / are
A. Column chromatography
B. Thin

View Question Which of the following reaction is correct?

View Question Anomalous behavior of oxygen is due to its

View Question Which one of the following will show geometrical isomerism?

View Question A reagent which gives brilliant red precipitate with Nickel ions in basic medium is

View Question Phenol treated with chloroform in presence of sodium hydroxide, which further hydrolyzed in presence of an acid results

View Question Match List I with List II
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View Question The product A formed in the following reaction is

View Question Alkyl halide is converted into alkyl isocyanide by reaction with

View Question The total number of molecules with zero dipole moment among $$\mathrm{CH}_4, \mathrm{BF}_3, \mathrm{H}_2 \mathrm{O}, \ma

View Question Standard enthalpy of vapourisation for $$\mathrm{CCl}_4$$ is $$30.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$$. Heat required for

View Question If $$50 \mathrm{~mL}$$ of $$0.5 \mathrm{M}$$ oxalic acid is required to neutralise $$25 \mathrm{~mL}$$ of $$\mathrm{NaOH

View Question The following concentrations were observed at $$500 \mathrm{~K}$$ for the formation of $$\mathrm{NH}_3$$ from $$\mathrm{

View Question A constant current was passed through a solution of $$\mathrm{AuCl}_4^{-}$$ ion between gold electrodes. After a period

View Question The total number of anti bonding molecular orbitals, formed from $$2 s$$ and $$2 p$$ atomic orbitals in a diatomic molec

View Question The half-life of radioisotope bromine - 82 is 36 hours. The fraction which remains after one day is ________ $$\times 10

View Question The total number of 'Sigma' and 'Pi' bonds in 2-formylhex-4-enoic acid is _________.

View Question The oxidation number of iron in the compound formed during brown ring test for NO$$_3^-$$ iron is ________.

View Question Molality of 0.8 M H$$_2$$SO$$_4$$ solution (density 1.06 g cm$$^{-3}$$) is ________ $$\times10^{-3}$$ m.

View Question ## Mathematics

Number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty is e

View Question Let $$\mathrm{A}$$ be the point of intersection of the lines $$3 x+2 y=14,5 x-y=6$$ and $$\mathrm{B}$$ be the point of i

View Question If $$\int \frac{\sin ^{\frac{3}{2}} x+\cos ^{\frac{3}{2}} x}{\sqrt{\sin ^3 x \cos ^3 x \sin (x-\theta)}} d x=A \sqrt{\co

View Question The distance of the point $$(2,3)$$ from the line $$2 x-3 y+28=0$$, measured parallel to the line $$\sqrt{3} x-y+1=0$$,

View Question Let a unit vector $$\hat{u}=x \hat{i}+y \hat{j}+z \hat{k}$$ make angles $$\frac{\pi}{2}, \frac{\pi}{3}$$ and $$\frac{2 \

View Question The function $$f(x)=\frac{x}{x^2-6 x-16}, x \in \mathbb{R}-\{-2,8\}$$

View Question If R is the smallest equivalence relation on the set $$\{1,2,3,4\}$$ such that $$\{(1,2),(1,3)\} \subset \mathrm{R}$$, t

View Question If the mean and variance of five observations are $$\frac{24}{5}$$ and $$\frac{194}{25}$$ respectively and the mean of t

View Question Let $$\mathrm{P}(3,2,3), \mathrm{Q}(4,6,2)$$ and $$\mathrm{R}(7,3,2)$$ be the vertices of $$\triangle \mathrm{PQR}$$. Th

View Question $$\text { Let } y=\log _e\left(\frac{1-x^2}{1+x^2}\right),-1

View Question If $$\log _e \mathrm{a}, \log _e \mathrm{~b}, \log _e \mathrm{c}$$ are in an A.P. and $$\log _e \mathrm{a}-\log _e 2 \ma

View Question If $$\sin \left(\frac{y}{x}\right)=\log _e|x|+\frac{\alpha}{2}$$ is the solution of the differential equation $$x \cos \

View Question An integer is chosen at random from the integers $$1,2,3, \ldots, 50$$. The probability that the chosen integer is a mul

View Question Let $$\overrightarrow{O A}=\vec{a}, \overrightarrow{O B}=12 \vec{a}+4 \vec{b} \text { and } \overrightarrow{O C}=\vec{b}

View Question The function $$f(x)=2 x+3(x)^{\frac{2}{3}}, x \in \mathbb{R}$$, has

View Question If each term of a geometric progression $$a_1, a_2, a_3, \ldots$$ with $$a_1=\frac{1}{8}$$ and $$a_2 \neq a_1$$, is the

View Question Let $$\mathrm{r}$$ and $$\theta$$ respectively be the modulus and amplitude of the complex number $$z=2-i\left(2 \tan \f

View Question The sum of the solutions $$x \in \mathbb{R}$$ of the equation $$\frac{3 \cos 2 x+\cos ^3 2 x}{\cos ^6 x-\sin ^6 x}=x^3-x

View Question Let $$x=\frac{m}{n}$$ ($$m, n$$ are co-prime natural numbers) be a solution of the equation $$\cos \left(2 \sin ^{-1} x\

View Question Let $$A=\left[\begin{array}{ccc}2 & 1 & 2 \\ 6 & 2 & 11 \\ 3 & 3 & 2\end{array}\right]$$ and $$P=\left[\begin{array}{lll

View Question Let O be the origin, and M and $$\mathrm{N}$$ be the points on the lines $$\frac{x-5}{4}=\frac{y-4}{1}=\frac{z-5}{3}$$ a

View Question Let the area of the region $$\left\{(x, y): 0 \leq x \leq 3,0 \leq y \leq \min \left\{x^2+2,2 x+2\right\}\right\}$$ be A

View Question Let the set $$C=\left\{(x, y) \mid x^2-2^y=2023, x, y \in \mathbb{N}\right\}$$. Then $$\sum_\limits{(x, y) \in C}(x+y)$$

View Question Let the slope of the line $$45 x+5 y+3=0$$ be $$27 r_1+\frac{9 r_2}{2}$$ for some $$r_1, r_2 \in \mathbb{R}$$. Then $$\l

View Question Let $$\alpha, \beta$$ be the roots of the equation $$x^2-\sqrt{6} x+3=0$$ such that $$\operatorname{Im}(\alpha)>\operato

View Question Let for any three distinct consecutive terms $$a, b, c$$ of an A.P, the lines $$a x+b y+c=0$$ be concurrent at the point

View Question Let $$P(\alpha, \beta)$$ be a point on the parabola $$y^2=4 x$$. If $$P$$ also lies on the chord of the parabola $$x^2=8

View Question Remainder when $$64^{32^{32}}$$ is divided by 9 is equal to ________.

View Question Let $$f(x)=\sqrt{\lim _\limits{r \rightarrow x}\left\{\frac{2 r^2\left[(f(r))^2-f(x) f(r)\right]}{r^2-x^2}-r^3 e^{\frac{

View Question If $$\int_\limits{\frac{\pi}{6}}^{\frac{\pi}{3}} \sqrt{1-\sin 2 x} d x=\alpha+\beta \sqrt{2}+\gamma \sqrt{3}$$, where $$

View Question ## Physics

A small liquid drop of radius $$R$$ is divided into 27 identical liquid drops. If the surface tension is $$T$$, then the

View Question In the given circuit, the current in resistance R$$_3$$ is :

View Question A physical quantity $$Q$$ is found to depend on quantities $$a, b, c$$ by the relation $$Q=\frac{a^4 b^3}{c^2}$$. The pe

View Question A stone of mass $$900 \mathrm{~g}$$ is tied to a string and moved in a vertical circle of radius $$1 \mathrm{~m}$$ makin

View Question The truth table for this given circuit is :

View Question A bob of mass '$$m$$' is suspended by a light string of length '$$L$$'. It is imparted a minimum horizontal velocity at

View Question An electric field is given by $$(6 \hat{i}+5 \hat{j}+3 \hat{k}) \mathrm{N} / \mathrm{C}$$. The electric flux through a s

View Question A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to

View Question A wire of length $$L$$ and radius $$r$$ is clamped at one end. If its other end is pulled by a force $$F$$, its length i

View Question The temperature of a gas having $$2.0 \times 10^{25}$$ molecules per cubic meter at $$1.38 \mathrm{~atm}$$ (Given, $$\ma

View Question If the distance between object and its two times magnified virtual image produced by a curved mirror is $$15 \mathrm{~cm

View Question A plane electromagnetic wave of frequency $$35 \mathrm{~MHz}$$ travels in free space along the $$X$$-direction. At a par

View Question In an a.c. circuit, voltage and current are given by:
$$V=100 \sin (100 t) V$$ and
$$I=100 \sin \left(100 t+\frac{\pi}{3

View Question A particle is moving in a straight line. The variation of position '$$x$$' as a function of time '$$t$$' is given as $$x

View Question The bob of a pendulum was released from a horizontal position. The length of the pendulum is $$10 \mathrm{~m}$$. If it d

View Question $$N$$ moles of a polyatomic gas $$(f=6)$$ must be mixed with two moles of a monoatomic gas so that the mixture behaves a

View Question In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference b

View Question Given below are two statements:
Statement I : Most of the mass of the atom and all its positive charge are concentrated

View Question Two sources of light emit with a power of $$200 \mathrm{~W}$$. The ratio of number of photons of visible light emitted b

View Question Two particles $$X$$ and $$Y$$ having equal charges are being accelerated through the same potential difference. Thereaft

View Question In the given circuit, the current flowing through the resistance $$20 \Omega$$ is $$0.3 \mathrm{~A}$$, while the ammeter

View Question In the given figure, the charge stored in $$6 \mu F$$ capacitor, when points $$A$$ and $$B$$ are joined by a connecting

View Question In a single slit diffraction pattern, a light of wavelength 6000$$\mathop A\limits^o$$ is used. The distance between the

View Question A body of mass $$5 \mathrm{~kg}$$ moving with a uniform speed $$3 \sqrt{2} \mathrm{~ms}^{-1}$$ in $$X-Y$$ plane along th

View Question Hydrogen atom is bombarded with electrons accelerated through a potential difference of $$\mathrm{V}$$, which causes exc

View Question A simple harmonic oscillator has an amplitude $$A$$ and time period $$6 \pi$$ second. Assuming the oscillation starts fr

View Question Two metallic wires $$P$$ and $$Q$$ have same volume and are made up of same material. If their area of cross sections ar

View Question A particle is moving in a circle of radius $$50 \mathrm{~cm}$$ in such a way that at any instant the normal and tangenti

View Question A charge of $$4.0 \mu \mathrm{C}$$ is moving with a velocity of $$4.0 \times 10^6 \mathrm{~ms}^{-1}$$ along the positive

View Question A horizontal straight wire $$5 \mathrm{~m}$$ long extending from east to west falling freely at right angle to horizonta

View Question