JEE Main 2024 (Online) 31st January Evening Shift

Paper was held on
Wed, Jan 31, 2024 9:30 AM

## Chemistry

Major product of the following reaction is -

View Question $$\mathrm{A}_{(\mathrm{g})} \rightleftharpoons \mathrm{B}_{(\mathrm{g})}+\frac{\mathrm{C}}{2}(\mathrm{g})$$ The correct

View Question Identify major product 'P' formed in the following reaction.

View Question Given below are two statements:
Statement I : Group 13 trivalent halides get easily hydrolyzed by water due to their cov

View Question The azo-dye $$(Y)$$ formed in the following reactions is
Sulphanilic acid $$+\mathrm{NaNO}_2+\mathrm{CH}_3 \mathrm{COOH}

View Question Given below are two statements:
Statement I : $$\mathrm{S}_8$$ solid undergoes disproportionation reaction under alkalin

View Question Identify structure of 2,3-dibromo-1-phenylpentane.

View Question Choose the correct statements from the following
A. All group 16 elements form oxides of general formula $$\mathrm{EO}_2

View Question The correct order of reactivity in electrophilic substitution reaction of the following compounds is :

View Question Choose the correct statements from the following
A. $$\mathrm{Mn}_2 \mathrm{O}_7$$ is an oil at room temperature
B. $$\m

View Question Select the option with correct property -

View Question Which of the following is least ionic?

View Question The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19) are

View Question Identify the name reaction.

View Question Consider the following elements.
Which of the following is/are true about $$\mathrm{A}^{\prime}, \mathrm{B}^{\prime}, \

View Question The fragrance of flowers is due to the presence of some steam volatile organic compounds called essential oils. These ar

View Question Identify A and B in the following reaction sequence.

View Question Match List I with List II
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View Question Given below are two statements :
Statement I : Aniline reacts with con. $$\mathrm{H}_2 \mathrm{SO}_4$$, followed by heat

View Question A sample of $$\mathrm{CaCO}_3$$ and $$\mathrm{MgCO}_3$$ weighed $$2.21 \mathrm{~g}$$ is ignited to constant weight of $$

View Question From the vitamins $$\mathrm{A}, \mathrm{B}_1, \mathrm{~B}_6, \mathrm{~B}_{12}, \mathrm{C}, \mathrm{D}, \mathrm{E}$$ and

View Question A diatomic molecule has a dipole moment of $$1.2 \mathrm{~D}$$. If the bond distance is $$1 \mathrm{~A}^{\circ}$$, then

View Question Number of isomeric products formed by monochlorination of 2-methylbutane in presence of sunlight is ________.

View Question In the reaction of potassium dichromate, potassium chloride and sulfuric acid (conc.), the oxidation state of the chromi

View Question The values of conductivity of some materials at $298.15 \mathrm{~K}^{-1} ~\text{in} ~\mathrm{Sm}^{-1}$ are $2.1 \times 1

View Question A compound $$(x)$$ with molar mass $$108 \mathrm{~g} \mathrm{~mol}^{-1}$$ undergoes acetylation to give product with mol

View Question Number of moles of $$\mathrm{H}^{+}$$ ions required by $$1 \mathrm{~mole}$$ of $$\mathrm{MnO}_4^{-}$$ to oxidise oxalat

View Question If 5 moles of an ideal gas expands from $$10 \mathrm{~L}$$ to a volume of $$100 \mathrm{~L}$$ at $$300 \mathrm{~K}$$ und

View Question The molarity of $$1 \mathrm{~L}$$ orthophosphoric acid $$\left(\mathrm{H}_3 \mathrm{PO}_4\right)$$ having $$70 \%$$ puri

View Question $$\mathrm{r}=\mathrm{k}[\mathrm{A}]$$ for a reaction, $$50 \%$$ of $$\mathrm{A}$$ is decomposed in 120 minutes. The time

View Question ## Mathematics

The number of ways in which 21 identical apples can be distributed among three children such that each child gets at lea

View Question A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times, then the probabili

View Question Let $$A$$ be a $$3 \times 3$$ real matrix such that
$$A\left(\begin{array}{l}
1 \\
0 \\
1
\end{array}\right)=2\left(\beg

View Question Let $$(\alpha, \beta, \gamma)$$ be the mirror image of the point $$(2,3,5)$$ in the line $$\frac{x-1}{2}=\frac{y-2}{3}=\

View Question If $$a=\sin ^{-1}(\sin (5))$$ and $$b=\cos ^{-1}(\cos (5))$$, then $$a^2+b^2$$ is equal to

View Question Let $$P$$ be a parabola with vertex $$(2,3)$$ and directrix $$2 x+y=6$$. Let an ellipse $$E: \frac{x^2}{a^2}+\frac{y^2}{

View Question The number of solutions, of the equation $$e^{\sin x}-2 e^{-\sin x}=2$$, is :

View Question The shortest distance, between lines $$L_1$$ and $$L_2$$, where $$L_1: \frac{x-1}{2}=\frac{y+1}{-3}=\frac{z+4}{2}$$ and

View Question The area of the region enclosed by the parabolas $$y=4 x-x^2$$ and $$3 y=(x-4)^2$$ is equal to :

View Question Let $$f, g:(0, \infty) \rightarrow \mathbb{R}$$ be two functions defined by $$f(x)=\int\limits_{-x}^x\left(|t|-t^2\right

View Question Let $$f: \rightarrow \mathbb{R} \rightarrow(0, \infty)$$ be strictly increasing function such that $$\lim _\limits{x \ri

View Question The temperature $$T(t)$$ of a body at time $$t=0$$ is $$160^{\circ} \mathrm{F}$$ and it decreases continuously as per th

View Question If the function $$f:(-\infty,-1] \rightarrow(a, b]$$ defined by $$f(x)=e^{x^3-3 x+1}$$ is one - one and onto, then the d

View Question Let $$2^{\text {nd }}, 8^{\text {th }}$$ and $$44^{\text {th }}$$ terms of a non-constant A. P. be respectively the $$1^

View Question Let $$z_1$$ and $$z_2$$ be two complex numbers such that $$z_1+z_2=5$$ and $$z_1^3+z_2^3=20+15 i$$ Then, $$\left|z_1^4+z

View Question If for some $$m, n ;{ }^6 C_m+2\left({ }^6 C_{m+1}\right)+{ }^6 C_{m+2}>{ }^8 C_3$$ and $${ }^{n-1} P_3:{ }^n P_4=1: 8$$

View Question Consider the function $$f:(0, \infty) \rightarrow \mathbb{R}$$ defined by $$f(x)=e^{-\left|\log _e x\right|}$$. If $$m$$

View Question Let a variable line passing through the centre of the circle $$x^2+y^2-16 x-4 y=0$$, meet the positive co-ordinate axes

View Question Let $$A(a, b), B(3,4)$$ and $$C(-6,-8)$$ respectively denote the centroid, circumcentre and orthocentre of a triangle. T

View Question Let the mean and the variance of 6 observations $$a, b, 68,44,48,60$$ be $$55$$ and $$194$$, respectively. If $$a>b$$, t

View Question Let $$\vec{a}=3 \hat{i}+2 \hat{j}+\hat{k}, \vec{b}=2 \hat{i}-\hat{j}+3 \hat{k}$$ and $$\vec{c}$$ be a vector such that $

View Question Let $$y=y(x)$$ be the solution of the differential equation
$$\sec ^2 x d x+\left(e^{2 y} \tan ^2 x+\tan x\right) d y=0

View Question $$\left|\frac{120}{\pi^3} \int_\limits0^\pi \frac{x^2 \sin x \cos x}{\sin ^4 x+\cos ^4 x} d x\right| \text { is equal to

View Question Let $$A(-2,-1), B(1,0), C(\alpha, \beta)$$ and $$D(\gamma, \delta)$$ be the vertices of a parallelogram $$A B C D$$. If

View Question Let $$a, b, c$$ be the lengths of three sides of a triangle satistying the condition $$\left(a^2+b^2\right) x^2-2 b(a+c)

View Question If $$\lim _\limits{x \rightarrow 0} \frac{a x^2 e^x-b \log _e(1+x)+c x e^{-x}}{x^2 \sin x}=1$$, then $$16\left(a^2+b^2+c

View Question Let $$A=\{1,2,3, \ldots \ldots \ldots \ldots, 100\}$$. Let $$R$$ be a relation on $$\mathrm{A}$$ defined by $$(x, y) \in

View Question Let the coefficient of $$x^r$$ in the expansion of $$(x+3)^{n-1}+(x+3)^{n-2}(x+2)+(x+3)^{n-3}(x+2)^2+\ldots \ldots \ldot

View Question Let A be a $$3 \times 3$$ matrix and $$\operatorname{det}(A)=2$$. If $$n=\operatorname{det}(\underbrace{\operatorname{ad

View Question A line passes through $$A(4,-6,-2)$$ and $$B(16,-2,4)$$. The point $$P(a, b, c)$$, where $$a, b, c$$ are non-negative in

View Question ## Physics

Given below are two statements:
Statement I: Electromagnetic waves carry energy as they travel through space and this en

View Question Consider two physical quantities $$A$$ and $$B$$ related to each other as $$E=\frac{B-x^2}{A t}$$ where $$E, x$$ and $$t

View Question In a photoelectric effect experiment a light of frequency 1.5 times the threshold frequency is made to fall on the surfa

View Question The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is :

View Question A uniform magnetic field of $$2 \times 10^{-3} \mathrm{~T}$$ acts along positive $$Y$$-direction. A rectangular loop of

View Question
A block of mass $$5 \mathrm{~kg}$$ is placed on a rough inclined surface as shown in the figure. If $$\overrightarrow{F

View Question If two vectors $$\vec{A}$$ and $$\vec{B}$$ having equal magnitude $$R$$ are inclined at angle $$\theta$$, then

View Question By what percentage will the illumination of the lamp decrease if the current drops by 20%?

View Question The speed of sound in oxygen at S.T.P. will be approximately: (given, $$R=8.3 \mathrm{~JK}^{-1}, \gamma=1.4$$)

View Question A light string passing over a smooth light fixed pulley connects two blocks of masses $$m_1$$ and $$m_2$$. If the accele

View Question A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the

View Question A small spherical ball of radius $$r$$, falling through a viscous medium of negligible density has terminal velocity '$$

View Question The measured value of the length of a simple pendulum is $$20 \mathrm{~cm}$$ with $$2 \mathrm{~mm}$$ accuracy. The time

View Question When unpolarized light is incident at an angle of $$60^{\circ}$$ on a transparent medium from air, the reflected ray is

View Question The resistance per centimeter of a meter bridge wire is $$r$$, with $$X \Omega$$ resistance in left gap. Balancing lengt

View Question Force between two point charges $$q_1$$ and $$q_2$$ placed in vacuum at '$$r$$' cm apart is $$F$$. Force between them wh

View Question A body of mass $$2 \mathrm{~kg}$$ begins to move under the action of a time dependent force given by $$\vec{F}=\left(6 t

View Question An AC voltage $$V=20 \sin 200 \pi t$$ is applied to a series LCR circuit which drives a current $$I=10 \sin \left(200 \p

View Question The mass of the moon is $$\frac{1}{144}$$ times the mass of a planet and its diameter is $$\frac{1}{16}$$ times the diam

View Question
The output of the given circuit diagram is -

View Question Two blocks of mass $$2 \mathrm{~kg}$$ and $$4 \mathrm{~kg}$$ are connected by a metal wire going over a smooth pulley as

View Question A body of mass '$$m$$' is projected with a speed '$$u$$' making an angle of $$45^{\circ}$$ with the ground. The angular

View Question In the following circuit, the battery has an emf of $$2 \mathrm{~V}$$ and an internal resistance of $$\frac{2}{3} \Omega

View Question Two circular coils $$P$$ and $$Q$$ of 100 turns each have same radius of $$\pi \mathrm{~cm}$$. The currents in $$P$$ and

View Question Two identical spheres each of mass $$2 \mathrm{~kg}$$ and radius $$50 \mathrm{~cm}$$ are fixed at the ends of a light ro

View Question Light from a point source in air falls on a convex curved surface of radius $$20 \mathrm{~cm}$$ and refractive index 1.5

View Question A nucleus has mass number $$A_1$$ and volume $$V_1$$. Another nucleus has mass number $$A_2$$ and Volume $$V_2$$. If rel

View Question The distance between charges $$+q$$ and $$-q$$ is $$2 l$$ and between $$+2 q$$ and $$-2 q$$ is $$4 l$$. The electrostati

View Question The magnetic flux $$\phi$$ (in weber) linked with a closed circuit of resistance $$8 \Omega$$ varies with time (in secon

View Question The time period of simple harmonic motion of mass $$M$$ in the given figure is $$\pi \sqrt{\frac{\alpha M}{5 k}}$$, wher

View Question