JEE Main 2023 (Online) 25th January Morning Shift

Paper was held on
Wed, Jan 25, 2023 3:30 AM

## Chemistry

Reaction of thionyl chloride with white phosphorus forms a compound [A], which on hydrolysis gives [B], a dibasic acid.

View Question Inert gases have positive electron gain enthalpy. Its correct order is :

View Question
The correct sequence of reagents for the preparation of Q and R is :

View Question In the cumene to phenol preparation in presence of air, the intermediate is

View Question Which one of the following reactions does not occur during extraction of copper?

View Question Match items of Row I with those of Row II.
Row I :
Row II :
(i) $$\alpha$$-$$\mathrm{D}$$-$$(-)$$-$$\mathrm{Fructofuran

View Question Which of the following statements is incorrect for antibiotics?

View Question The compound which will have the lowest rate towards nucleophilic aromatic substitution on treatment with OH$$^-$$ is

View Question Match List I with List II
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View Question Identify the product formed (A and E)

View Question Some reactions of NO$$_2$$ relevant to photochemical smog formation are
Identify A, B, X and Y :

View Question The variation of the rate of an enzyme catalyzed reaction with substrate concentration is correctly represented by graph

View Question '25 volume' hydrogen peroxide means

View Question The radius of the $$\mathrm{2^{nd}}$$ orbit of $$\mathrm{Li^{2+}}$$ is $$x$$. The expected radius of the $$\mathrm{3^{rd

View Question Which of the following conformations will be the most stable?

View Question Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : Ac

View Question The correct order in aqueous medium of basic strength in case of methyl substituted amines is :

View Question Match the List-I with List-II :
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View Question Compound A reacts with NH$$_4$$Cl and forms a compound B. Compound B reacts with H$$_2$$O and excess of CO$$_2$$ to form

View Question A cubic solid is made up of two elements X and Y. Atoms of X are present on every alternate corner and one at the center

View Question The density of a monobasic strong acid (Molar mass 24.2 g/mol) is 1.21 kg/L. The volume of its solution required for the

View Question A litre of buffer solution contains 0.1 mole of each of NH$$_3$$ and NH$$_4$$Cl. On the addition of 0.02 mole of HCl by

View Question Consider the cell
$$\mathrm{Pt(s)|{H_2}(g)\,(1\,atm)|{H^ + }\,(aq,[{H^ + }] = 1)||F{e^{3 + }}(aq),F{e^{2 + }}(aq)|Pt(s)}

View Question The osmotic pressure of solutions of PVC in cyclohexanone at 300 K are plotted on the graph.
The molar mass of PVC is __

View Question In sulphur estimation, 0.471 g of an organic compound gave 1.4439 g of barium sulphate. The percentage of sulphur in the

View Question An athlete is given 100 g of glucose (C$$_6$$H$$_{12}$$O$$_6$$) for energy. This is equivalent to 1800kJ of energy. The

View Question How many of the following metal ions have similar value of spin only magnetic moment in gaseous state? ______________
(G

View Question The number of paramagnetic species from the following is _____________.
$$\mathrm{{[Ni{(CN)_4}]^{2 - }},[Ni{(CO)_4}],{[N

View Question For the first order reaction A $$\to$$ B, the half life is 30 min. The time taken for 75% completion of the reaction is

View Question The total number of lone pairs of electrons on oxygen atoms of ozone is __________.

View Question ## Mathematics

The vector $$\overrightarrow a = - \widehat i + 2\widehat j + \widehat k$$ is rotated through a right angle, passing t

View Question The minimum value of the function $$f(x) = \int\limits_0^2 {{e^{|x - t|}}dt} $$ is :

View Question The statement $$\left( {p \wedge \left( { \sim q} \right)} \right) \Rightarrow \left( {p \Rightarrow \left( { \sim q} \r

View Question Let $$x=2$$ be a local minima of the function $$f(x)=2x^4-18x^2+8x+12,x\in(-4,4)$$. If M is local maximum value of the f

View Question The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one

View Question The value of $$\mathop {\lim }\limits_{n \to \infty } {{1 + 2 - 3 + 4 + 5 - 6\, + \,.....\, + \,(3n - 2) + (3n - 1) - 3n

View Question If $$a_r$$ is the coefficient of $$x^{10-r}$$ in the Binomial expansion of $$(1 + x)^{10}$$, then $$\sum\limits_{r = 1}^

View Question Let M be the maximum value of the product of two positive integers when their sum is 66. Let the sample space $$S = \lef

View Question Let $$f(x) = \int {{{2x} \over {({x^2} + 1)({x^2} + 3)}}dx} $$. If $$f(3) = {1 \over 2}({\log _e}5 - {\log _e}6)$$, then

View Question Let $$x,y,z > 1$$ and $$A = \left[ {\matrix{
1 & {{{\log }_x}y} & {{{\log }_x}z} \cr
{{{\log }_y}x} & 2 & {{{\lo

View Question The distance of the point P(4, 6, $$-$$2) from the line passing through the point ($$-$$3, 2, 3) and parallel to a line

View Question Let $$y(x) = (1 + x)(1 + {x^2})(1 + {x^4})(1 + {x^8})(1 + {x^{16}})$$. Then $$y' - y''$$ at $$x = - 1$$ is equal to

View Question Consider the lines $$L_1$$ and $$L_2$$ given by
$${L_1}:{{x - 1} \over 2} = {{y - 3} \over 1} = {{z - 2} \over 2}$$
$${L

View Question The points of intersection of the line $$ax + by = 0,(a \ne b)$$ and the circle $${x^2} + {y^2} - 2x = 0$$ are $$A(\alph

View Question Let $$\mathrm{z_1=2+3i}$$ and $$\mathrm{z_2=3+4i}$$. The set $$\mathrm{S = \left\{ {z \in \mathbb{C}:{{\left| {z - {z_1}

View Question Let $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ be three non zero vectors such that $$\ove

View Question Let S$$_1$$ and S$$_2$$ be respectively the sets of all $$a \in \mathbb{R} - \{ 0\} $$ for which the system of linear eq

View Question Let $$y = y(x)$$ be the solution curve of the differential equation $${{dy} \over {dx}} = {y \over x}\left( {1 + x{y^2}(

View Question The distance of the point $$(6,-2\sqrt2)$$ from the common tangent $$\mathrm{y=mx+c,m > 0}$$, of the curves $$x=2y^2$$ a

View Question Let $$f:(0,1)\to\mathbb{R}$$ be a function defined $$f(x) = {1 \over {1 - {e^{ - x}}}}$$, and $$g(x) = \left( {f( - x) -

View Question The constant term in the expansion of $${\left( {2x + {1 \over {{x^7}}} + 3{x^2}} \right)^5}$$ is ___________.

View Question Let S = {1, 2, 3, 5, 7, 10, 11}. The number of non-empty subsets of S that have the sum of all elements a multiple of 3,

View Question Let $$x$$ and $$y$$ be distinct integers where $$1 \le x \le 25$$ and $$1 \le y \le 25$$. Then, the number of ways of ch

View Question The vertices of a hyperbola H are ($$\pm$$ 6, 0) and its eccentricity is $${{\sqrt 5 } \over 2}$$. Let N be the normal t

View Question For some a, b, c $$\in\mathbb{N}$$, let $$f(x) = ax - 3$$ and $$\mathrm{g(x)=x^b+c,x\in\mathbb{R}}$$. If $${(fog)^{ - 1}

View Question Let the equation of the plane passing through the line $$x - 2y - z - 5 = 0 = x + y + 3z - 5$$ and parallel to the line

View Question Let $$S = \left\{ {\alpha :{{\log }_2}({9^{2\alpha - 4}} + 13) - {{\log }_2}\left( {{5 \over 2}.\,{3^{2\alpha - 4}} +

View Question Let $$\mathrm{A_1,A_2,A_3}$$ be the three A.P. with the same common difference d and having their first terms as $$\math

View Question If the area enclosed by the parabolas $$\mathrm{P_1:2y=5x^2}$$ and $$\mathrm{P_2:x^2-y+6=0}$$ is equal to the area enclo

View Question If the sum of all the solutions of $${\tan ^{ - 1}}\left( {{{2x} \over {1 - {x^2}}}} \right) + {\cot ^{ - 1}}\left( {{{1

View Question ## Physics

A parallel plate capacitor has plate area 40 cm$$^2$$ and plates separation 2 mm. The space between the plates is filled

View Question Match List I with List II
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View Question The root mean square velocity of molecules of gas is

View Question Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Phot

View Question Match List I with List II
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View Question In Young's double slits experiment, the position of 5$$\mathrm{^{th}}$$ bright fringe from the central maximum is 5 cm.

View Question T is the time period of simple pendulum on the earth's surface. Its time period becomes $$x$$ T when taken to a height R

View Question Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth.

View Question A Carnot engine with efficiency 50% takes heat from a source at 600 K. In order to increase the efficiency to 70%, keepi

View Question The ratio of the density of oxygen nucleus ($$_8^{16}O$$) and helium nucleus ($$_2^{4}\mathrm{He}$$) is

View Question A car travels a distance of '$$x$$' with speed $$v_1$$ and then same distance '$$x$$' with speed $$v_2$$ in the same dir

View Question Electron beam used in an electron microscope, when accelerated by a voltage of 20 kV, has a de-Broglie wavelength of $$\

View Question A message signal of frequency 5 kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude

View Question A uniform metallic wire carries a current 2 A, when 3.4 V battery is connected across it. The mass of uniform metallic w

View Question A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnet

View Question An electromagnetic wave is transporting energy in the negative $$z$$ direction. At a certain point and certain time the

View Question An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg and length 1 m pivoted at its end C on a

View Question A bowl filled with very hot soup cools from 98$$^\circ$$C to 86$$^\circ$$C in 2 minutes when the room temperature is 22$

View Question In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resona

View Question A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from t

View Question If $$\overrightarrow P = 3\widehat i + \sqrt 3 \widehat j + 2\widehat k$$ and $$\overrightarrow Q = 4\widehat i + \sqr

View Question $$\mathrm{I_{CM}}$$ is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpen

View Question An object of mass 'm' initially at rest on a smooth horizontal plane starts moving under the action of force F = 2N. In

View Question A ray of light is incident from air on a glass plate having thickness $$\sqrt3$$ cm and refractive index $$\sqrt2$$. The

View Question The wavelength of the radiation emitted is $$\lambda_0$$ when an electron jumps from the second excited state to the fir

View Question The distance between two consecutive points with phase difference of 60$$^\circ$$ in a wave of frequency 500 Hz is 6.0 m

View Question As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. Th

View Question An LCR series circuit of capacitance 62.5 nF and resistance of 50 $$\Omega$$, is connected to an A.C. source of frequenc

View Question In the given circuit, the equivalent resistance between the terminal A and B is __________ $$\Omega$$.

View Question A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in figure). An electron ente

View Question