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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question Find out the major product for the following reaction.

View Question Find out the major products from the following reaction sequence.

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

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

View Question 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

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

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

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

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

View Question 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 _____

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

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

View Question ## Mathematics

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

View Question 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)

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

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

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

View Question 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

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

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

View Question 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(

View Question 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

View Question 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

View Question 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}

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

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

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

View Question 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

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

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

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

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

View Question 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

View Question 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

View Question 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

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

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

View Question 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

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

View Question 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

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

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

View Question ## Physics

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

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

View Question 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

View Question 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

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

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

View Question 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.

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

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

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

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

View Question 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

View Question For the given figures, choose the correct options :

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

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

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

View Question 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

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

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

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

View Question 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

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

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

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

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

View Question 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

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

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

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

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

View Question