JEE Main 2023 (Online) 29th January Evening Shift

Paper was held on
Sun, Jan 29, 2023 9:30 AM

## Chemistry

Given below are two statements :
Statement I : The decrease in first ionization enthalpy from B to Al is much larger tha

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Given below are two statements :
Statement I : Nickel is being used as the catalyst for producing syn gas and edible fat

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Which of the following relations are correct?
(A) $$\mathrm{\Delta U=q+p\Delta V}$$
(B) $$\mathrm{\Delta G=\Delta H-T\De

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A solution of $$\mathrm{Cr O_5}$$ in amyl alcohol has a __________ colour.

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According to MO theory the bond orders for $$\mathrm{O}$$$$_2^{2 - }$$, $$\mathrm{CO}$$ and $$\mathrm{NO^+}$$ respective

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When a hydrocarbon A undergoes combustion in the presence of air, it requires 9.5 equivalents of oxygen and produces 3 e

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A doctor prescribed the drug Equanil to a patient. The patient was likely to have symptoms of which disease?

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The set of correct statements is :
(i) Manganese exhibits +7 oxidation state in its oxide.
(ii) Ruthenium and Osmium exh

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Match List I and List II
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Correct order of spin only magnetic moment of the following complex ions is :
(Given At.no. Fe : 26, Co : 27)

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The major component of which of the following ore is sulphide based mineral?

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Reaction of propanamide with $$\mathrm{Br_2/KOH(aq)}$$ produces :

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Following tetrapeptide can be represented as
(F, L, D, Y, I, Q, P are one letter codes for amino acids)

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Match List I with List II
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The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is (excluding rearrangement)

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The concentration of dissolved Oxygen in water for growth of fish should be more than $$\mathrm{\underline X }$$ ppm and

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An indicator 'X' is used for studying the effect of variation in concentration of iodide on the rate of reaction of iodi

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Find out the major product for the following reaction.

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Find out the major products from the following reaction sequence.

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Match List I with List II
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The volume of HCl, containing 73 g L$$^{-1}$$, required to completely neutralise NaOH obtained by reacting 0.69 g of met

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The equilibrium constant for the reaction
$$\mathrm{Zn(s)+Sn^{2+}(aq)}$$ $$\rightleftharpoons$$ $$\mathrm{Zn^{2+}(aq)+Sn

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At 298 K
$$\mathrm{N_2~(g)+3H_2~(g)\rightleftharpoons~2NH_3~(g),~K_1=4\times10^5}$$
$$\mathrm{N_2~(g)+O_2~(g)\rightlefth

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A metal M forms hexagonal close-packed structure. The total number of voids in 0.02 mol of it is _________ $$\times$$ $$

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The denticity of the ligand present in the Fehling's reagent is ___________.

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When 0.01 mol of an organic compound containing 60% carbon was burnt completely, 4.4 g of CO$$_2$$ was produced. The mol

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On heating, $$\mathrm{LiNO_3}$$ gives how many compounds among the following __________
$$\mathrm{Li_2O,N_2,O_2,LiNO_2,N

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Total number of acidic oxides among
$$\mathrm{N_2O_3,NO_2,N_2O,Cl_2O_7,SO_2,CO,CaO,Na_2O}$$ and $$\mathrm{NO}$$ is _____

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Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 $$\mathrm{\mathop A\limits^o }$$. The radius of t

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For conversion of compound A $$\to$$ B, the rate constant of the reaction was found to be $$\mathrm{4.6\times10^{-5}~L~m

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## Mathematics

The statement $$B \Rightarrow \left( {\left( { \sim A} \right) \vee B} \right)$$ is equivalent to :

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Let $$y=y(x)$$ be the solution of the differential equation $$x{\log _e}x{{dy} \over {dx}} + y = {x^2}{\log _e}x,(x > 1)

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Let R be a relation defined on $$\mathbb{N}$$ as $$a\mathrm{R}b$$ if $$2a+3b$$ is a multiple of $$5,a,b\in \mathbb{N}$$.

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The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a ser

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If $$\overrightarrow a = \widehat i + 2\widehat k,\overrightarrow b = \widehat i + \widehat j + \widehat k,\overrighta

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The plane $$2x-y+z=4$$ intersects the line segment joining the points A ($$a,-2,4)$$ and B ($$2,b,-3)$$ at the point C i

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The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is :

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Let $$\mathrm{S} = \{ {w_1},{w_2},......\} $$ be the sample space associated to a random experiment. Let $$P({w_n}) = {{

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Consider a function $$f:\mathbb{N}\to\mathbb{R}$$, satisfying $$f(1)+2f(2)+3f(3)+....+xf(x)=x(x+1)f(x);x\ge2$$ with $$f(

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The set of all values of $$\lambda$$ for which the equation $${\cos ^2}2x - 2{\sin ^4}x - 2{\cos ^2}x = \lambda $$ has a

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If the tangent at a point P on the parabola $$y^2=3x$$ is parallel to the line $$x+2y=1$$ and the tangents at the points

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The area of the region $$A = \left\{ {(x,y):\left| {\cos x - \sin x} \right| \le y \le \sin x,0 \le x \le {\pi \over 2}

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Let $$\overrightarrow a = 4\widehat i + 3\widehat j$$ and $$\overrightarrow b = 3\widehat i - 4\widehat j + 5\widehat

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The value of the integral $$\int_1^2 {\left( {{{{t^4} + 1} \over {{t^6} + 1}}} \right)dt} $$ is

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If the lines $${{x - 1} \over 1} = {{y - 2} \over 2} = {{z + 3} \over 1}$$ and $${{x - a} \over 2} = {{y + 2} \over 3} =

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Let K be the sum of the coefficients of the odd powers of $$x$$ in the expansion of $$(1+x)^{99}$$. Let $$a$$ be the mid

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The set of all values of $$\mathrm{t\in \mathbb{R}}$$, for which the matrix $$\left[ {\matrix{
{{e^t}} & {{e^{ - t}}(

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The value of the integral $$\int\limits_{1/2}^2 {{{{{\tan }^{ - 1}}x} \over x}dx} $$ is equal to :

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The shortest distance between the lines $${{x - 1} \over 2} = {{y + 8} \over -7} = {{z - 4} \over 5}$$ and $${{x - 1} \o

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Let $$f$$ and $$g$$ be the twice differentiable functions on $$\mathbb{R}$$ such that
$$f''(x)=g''(x)+6x$$
$$f'(1)=4g'(1

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A circle with centre (2, 3) and radius 4 intersects the line $$x+y=3$$ at the points P and Q. If the tangents at P and Q

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A triangle is formed by the tangents at the point (2, 2) on the curves $$y^2=2x$$ and $$x^2+y^2=4x$$, and the line $$x+y

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Let $$a_1=b_1=1$$ and $${a_n} = {a_{n - 1}} + (n - 1),{b_n} = {b_{n - 1}} + {a_{n - 1}},\forall n \ge 2$$. If $$S = \sum

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The total number of 4-digit numbers whose greatest common divisor with 54 is 2, is __________.

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Let $$X=\{11,12,13,....,40,41\}$$ and $$Y=\{61,62,63,....,90,91\}$$ be the two sets of observations. If $$\overline x $$

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If the equation of the normal to the curve $$y = {{x - a} \over {(x + b)(x - 2)}}$$ at the point (1, $$-$$3) is $$x - 4y

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Let $$\alpha = 8 - 14i,A = \left\{ {z \in c:{{\alpha z - \overline \alpha \overline z } \over {{z^2} - {{\left( {\over

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Let $$\alpha_1,\alpha_2,....,\alpha_7$$ be the roots of the equation $${x^7} + 3{x^5} - 13{x^3} - 15x = 0$$ and $$|{\alp

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Let $$\{ {a_k}\} $$ and $$\{ {b_k}\} ,k \in N$$, be two G.P.s with common ratios $${r_1}$$ and $${r_2}$$ respectively su

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Let A be a symmetric matrix such that $$\mathrm{|A|=2}$$ and $$\left[ {\matrix{
2 & 1 \cr
3 & {{3 \over 2}} \cr

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## Physics

With the help of potentiometer, we can determine the value of emf of a given cell. The sensitivity of the potentiometer

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The ratio of de-Broglie wavelength of an $$\alpha$$ particle and a proton accelerated from rest by the same potential is

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A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes

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The equation of a circle is given by $$x^2+y^2=a^2$$, where a is the radius. If the equation is modified to change the o

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A square loop of area 25 cm$$^2$$ has a resistance of 10 $$\Omega$$. The loop is placed in uniform magnetic field of mag

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Substance A has atomic mass number 16 and half life of 1 day. Another substance B has atomic mass number 32 and half lif

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Heat energy of 184 kJ is given to ice of mass 600 g at $$-12^\circ \mathrm{C}$$. Specific heat of ice is $$\mathrm{2222.

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The modulation index for an A.M. wave having maximum and minimum peak-to-peak voltages of 14 mV and 6 mV respectively is

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Identify the correct statements from the following :
A. Work done by a man in lifting a bucket out of a well by means of

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A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving powe

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Given below are two statements :
Statement I : Electromagnetic waves are not deflected by electric and magnetic field.
S

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The time taken by an object to slide down 45$$^\circ$$ rough inclined plane is n times as it takes to slide down a perfe

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For the given figures, choose the correct options :

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An object moves at a constant speed along a circular path in a horizontal plane with center at the origin. When the obje

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The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased

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The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The coil is unwo

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A fully loaded boeing aircraft has a mass of $$5.4\times10^5$$ kg. Its total wing area is 500 m$$^2$$. It is in level fl

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For the given logic gates combination, the correct truth table will be

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At 300 K, the rms speed of oxygen molecules is $$\sqrt {{{\alpha + 5} \over \alpha }} $$ times to that of its average s

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A point charge $$2\times10^{-2}~\mathrm{C}$$ is moved from P to S in a uniform electric field of $$30~\mathrm{NC^{-1}}$$

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A particle of mass 100 g is projected at time t = 0 with a speed 20 ms$$^{-1}$$ at an angle 45$$^\circ$$ to the horizont

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In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student

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A null point is found at 200 cm in potentiometer when cell in secondary circuit is shunted by 5$$\Omega$$. When a resist

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An inductor of inductance 2 $$\mathrm{\mu H}$$ is connected in series with a resistance, a variable capacitor and an AC

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A particle of mass 250 g executes a simple harmonic motion under a periodic force $$\mathrm{F}=(-25~x)\mathrm{N}$$. The

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A metal block of base area 0.20 m$$^2$$ is placed on a table, as shown in figure. A liquid film of thickness 0.25 mm is

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A car is moving on a circular path of radius 600 m such that the magnitudes of the tangential acceleration and centripet

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Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium $

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For a charged spherical ball, electrostatic potential inside the ball varies with $$r$$ as $$\mathrm{V}=2ar^2+b$$.
Here,

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When two resistance $$\mathrm{R_1}$$ and $$\mathrm{R_2}$$ connected in series and introduced into the left gap of a mete

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