JEE Main 2024 (Online) 1st February Morning Shift

Paper was held on
Thu, Feb 1, 2024 3:30 AM

## Chemistry

Which of the following reactions are disproportionation reactions?
(A) $\mathrm{Cu}^{+} \rightarrow \mathrm{Cu}^{2+}+\ma

View Question Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following :

View Question Identify $A$ and $B$ in the following sequence of reaction

View Question Which of the following complex is homoleptic?

View Question In Kjeldahl's method for estimation of nitrogen, $\mathrm{CuSO}_4$ acts as :

View Question Given below are two statements :
Statement (I) : Potassium hydrogen phthalate is a primary standard for standardisation

View Question In case of isoelectronic species the size of $\mathrm{F}^{-}, \mathrm{Ne}$ and $\mathrm{Na}^{+}$is affected by :

View Question Ionic reactions with organic compounds proceed through :
(A) homolytic bond cleavage
(B) heterolytic bond cleavage
(C) f

View Question Which of the following compound will most easily be attacked by an electrophile?

View Question Given below are two statements :
Statement (I) : A solution of $\left[\mathrm{Ni}\left(\mathrm{H}_2 \mathrm{O}\right)_6\

View Question We have three aqueous solutions of $\mathrm{NaCl}$ labelled as ' $\mathrm{A}$ ', ' $\mathrm{B}$ ' and ' $\mathrm{C}$ ' w

View Question Given below are two statements :
Statement (I) : The $\mathrm{NH}_2$ group in Aniline is ortho and para directing and a

View Question According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropri

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 If one strand of a DNA has the sequence ATGCTTCA, sequence of the bases in complementary strand is :

View Question In acidic medium, $\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7$ shows oxidising action as represented in the half reaction:

View Question Given below are two statements :
Statement (I) : Aminobenzene and aniline are same organic compounds.
Statement (II) : A

View Question Match List - I with List - II.
table {
border-collapse: collapse;
width: 100%;
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th, td {
border: 1px

View Question Arrange the bonds in order of increasing ionic character in the molecules. $\mathrm{LiF}$, $\mathrm{K}_2 \mathrm{O}, \ma

View Question The number of white coloured salts, among the following is
(a) $\mathrm{SrSO}_4$
(b) $\mathrm{Mg}\left(\mathrm{NH}_4\rig

View Question Total number of deactivating groups in aromatic electrophilic substitution reaction among the following is _______ .

View Question The potential for the given half cell at $298 \mathrm{~K}$ is (-) __________ $\times 10^{-2} \mathrm{~V}$
$$
\begin{alig

View Question Among the following oxides of p-block elements, number of oxides having amphoteric nature is ________.$\mathrm{Cl}_2 \ma

View Question Consider the following reaction :
$$
3 \mathrm{PbCl}_2+2\left(\mathrm{NH}_4\right)_3 \mathrm{PO}_4 \rightarrow \mathrm{P

View Question The number of molecules/ion/s having trigonal bipyramidal shape is _______.
$\mathrm{PF}_5, \mathrm{BrF}_5, \mathrm{PCl

View Question The lowest oxidation number of an atom in a compound $\mathrm{A}_2 \mathrm{B}$ is -2 . The number of electrons in its va

View Question $\mathrm{K}_{\mathrm{a}}$ for $\mathrm{CH}_3 \mathrm{COOH}$ is $1.8 \times 10^{-5}$ and $\mathrm{K}_{\mathrm{b}}$ for $\

View Question Number of optical isomers possible for 2-chlorobutane ________.

View Question The ratio of $\frac{{ }^{14} \mathrm{C}}{{ }^{12} \mathrm{C}}$ in a piece of wood is $\frac{1}{8}$ part that of atmosphe

View Question ## Mathematics

A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it

View Question The value of the integral $\int\limits_0^{\pi / 4} \frac{x \mathrm{~d} x}{\sin ^4(2 x)+\cos ^4(2 x)}$ equals :

View Question If $\mathrm{A}=\left[\begin{array}{cc}\sqrt{2} & 1 \\ -1 & \sqrt{2}\end{array}\right], \mathrm{B}=\left[\begin{array}{ll

View Question If $\tan \mathrm{A}=\frac{1}{\sqrt{x\left(x^2+x+1\right)}}, \tan \mathrm{B}=\frac{\sqrt{x}}{\sqrt{x^2+x+1}}$ and $\tan \

View Question If $\mathrm{n}$ is the number of ways five different employees can sit into four indistinguishable offices where any off

View Question Let $\mathrm{S}=|\mathrm{z} \in \mathrm{C}:| z-1 \mid=1$ and $(\sqrt{2}-1)(z+\bar{z})-i(z-\bar{z})=2 \sqrt{2} \mid$. Let

View Question Let the median and the mean deviation about the median of 7 observation $170,125,230,190,210$, a, b be 170 and $\frac{20

View Question Let $\overrightarrow{\mathrm{a}}=-5 \hat{i}+\hat{j}-3 \hat{k}, \overrightarrow{\mathrm{b}}=\hat{i}+2 \hat{j}-4 \hat{k}$

View Question Let $\mathbf{S}=\left\{x \in \mathbf{R}:(\sqrt{3}+\sqrt{2})^x+(\sqrt{3}-\sqrt{2})^x=10\right\}$. Then the number of elem

View Question The area enclosed by the curves $x y+4 y=16$ and $x+y=6$ is equal to :

View Question Let $f: \mathbf{R} \rightarrow \mathbf{R}$ and $g: \mathbf{R} \rightarrow \mathbf{R}$ be defined as
$f(x)=\left\{\begin

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

View Question For $0$x^2-y^2 \operatorname{cosec}^2 \theta=5$ is $\sqrt{7}$ times eccentricity of the ellipse $x^2 \operatorname{cosec

View Question Let $y=y(x)$ be the solution of the differential equation
$\frac{\mathrm{d} y}{\mathrm{~d} x}=2 x(x+y)^3-x(x+y)-1, y(0)

View Question Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be defined as :
$$
f(x)= \begin{cases}\frac{a-b \cos 2 x}{x^2} ; & x1\end{cas

View Question Let $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, \mathrm{a}>\mathrm{b}$ be an ellipse, whose eccentricity is $\frac{1}{\sqrt{2}}$

View Question Let $3, a, b, c$ be in A.P. and $3, a-1, b+1, c+9$ be in G.P. Then, the arithmetic mean of $a, b$ and $c$ is :

View Question Let $C: x^2+y^2=4$ and $C^{\prime}: x^2+y^2-4 \lambda x+9=0$ be two circles. If the set of all values of $\lambda$ so th

View Question If $5 f(x)+4 f\left(\frac{1}{x}\right)=x^2-2, \forall x \neq 0$ and $y=9 x^2 f(x)$, then $y$ is strictly increasing in :

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

View Question If $x=x(t)$ is the solution of the differential equation $(t+1) \mathrm{d} x=\left(2 x+(t+1)^4\right) \mathrm{dt}, x(0)=

View Question The number of elements in the set $\mathrm{S}=\{(x, y, z): x, y, z \in \mathbf{Z}, x+2 y+3 z=42, x, y, z \geqslant 0\}$

View Question If the Coefficient of $x^{30}$ in the expansion of $\left(1+\frac{1}{x}\right)^6\left(1+x^2\right)^7\left(1-x^3\right)^8

View Question Let $3,7,11,15, \ldots, 403$ and $2,5,8,11, \ldots, 404$ be two arithmetic progressions. Then the sum, of the common ter

View Question Let $\{x\}$ denote the fractional part of $x$ and $f(x)=\frac{\cos ^{-1}\left(1-\{x\}^2\right) \sin ^{-1}(1-\{x\})}{\{x\

View Question Let the line $\mathrm{L}: \sqrt{2} x+y=\alpha$ pass through the point of the intersection $\mathrm{P}$ (in the first qua

View Question Let $\mathrm{P}=\{\mathrm{z} \in \mathbb{C}:|z+2-3 i| \leq 1\}$ and $\mathrm{Q}=\{\mathrm{z} \in \mathbb{C}: z(1+i)+\bar

View Question If $\int\limits_{-\pi / 2}^{\pi / 2} \frac{8 \sqrt{2} \cos x \mathrm{~d} x}{\left(1+\mathrm{e}^{\sin x}\right)\left(1+\s

View Question Let the line of the shortest distance between the lines
$$
\begin{aligned}
& \mathrm{L}_1: \overrightarrow{\mathrm{r}}=(

View Question Let $A=\{1,2,3, \ldots, 20\}$. Let $R_1$ and $R_2$ two relation on $A$ such that
$R_1=\{(a, b): b$ is divisible by $a\}

View Question ## Physics

Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley and t

View Question If $\mathrm{R}$ is the radius of the earth and the acceleration due to gravity on the surface of earth is $g=\pi^2 \math

View Question 10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division o

View Question Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant

View Question The dimensional formula of angular impulse is :

View Question A monochromatic light of wavelength $6000 ~\mathring{A}$ is incident on the single slit of width $0.01 \mathrm{~mm}$. If

View Question A ball of mass $0.5 \mathrm{~kg}$ is attached to a string of length $50 \mathrm{~cm}$. The ball is rotated on a horizont

View Question The reading in the ideal voltmeter $(\mathrm{V})$ shown in the given circuit diagram is :

View Question A galvanometer has a resistance of $50 ~\Omega$ and it allows maximum current of $5 \mathrm{~mA}$. It can be converted i

View Question The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly :

View Question A parallel plate capacitor has a capacitance $\mathrm{C}=200~ \mathrm{pF}$. It is connected to $230 \mathrm{~V}$ ac supp

View Question The de Broglie wavelengths of a proton and an $\alpha$ particle are $\lambda$ and $2 \lambda$ respectively. The ratio of

View Question The radius $(\mathrm{r})$, length $(l)$ and resistance $(\mathrm{R})$ of a metal wire was measured in the laboratory as

View Question Two identical capacitors have same capacitance $C$. One of them is charged to the potential $V$ and other to the potenti

View Question A simple pendulum of length $1 \mathrm{~m}$ has a wooden bob of mass $1 \mathrm{~kg}$. It is struck by a bullet of mass

View Question The pressure and volume of an ideal gas are related as $\mathrm{PV}^{\frac{3}{2}}=\mathrm{K}$ (Constant). The work done

View Question In series LCR circuit, the capacitance is changed from $C$ to $4 C$. To keep the resonance frequency unchanged, the new

View Question A particle moving in a circle of radius $\mathrm{R}$ with uniform speed takes time $\mathrm{T}$ to complete one revoluti

View Question With rise in temperature, the Young's modulus of elasticity :

View Question In the given circuit if the power rating of Zener diode is $10 \mathrm{~mW}$, the value of series resistance $R_s$ to re

View Question A rectangular loop of sides $12 \mathrm{~cm}$ and $5 \mathrm{~cm}$, with its sides parallel to the $x$-axis and $y$-axis

View Question A plane is in level flight at constant speed and each of its two wings has an area of $40 \mathrm{~m}^2$. If the speed o

View Question Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle $\theta$ with each ot

View Question A particle is moving in one dimension (along $x$ axis) under the action of a variable force. It's initial position was $

View Question The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius of 4 fermi

View Question A regular polygon of 6 sides is formed by bending a wire of length $4 \pi$ meter. If an electric current of $4 \pi \sqrt

View Question The distance between object and its 3 times magnified virtual image as produced by a convex lens is $20 \mathrm{~cm}$. T

View Question The identical spheres each of mass $2 \mathrm{M}$ are placed at the corners of a right angled triangle with mutually per

View Question A tuning fork resonates with a sonometer wire of length $1 \mathrm{~m}$ stretched with a tension of $6 \mathrm{~N}$. Whe

View Question The current in a conductor is expressed as $I=3 t^2+4 t^3$, where $I$ is in Ampere and $t$ is in second. The amount of e

View Question