JEE Main 2023 (Online) 1st February Morning Shift

Paper was held on
Wed, Feb 1, 2023 3:30 AM

## Chemistry

Which of the following complex will show largest splitting of d-orbitals?

View Question Which of the following are the example of double salt?
A. $$\mathrm{FeSO}_{4} \cdot\left(\mathrm{NH}_{4}\right)_{2} \mat

View Question Highest oxidation state of Mn is exhibited in $$\mathrm{Mn_2O_7}$$. The correct statements about $$\mathrm{Mn_2O_7}$$ ar

View Question The correct representation in six membered pyranose form for the following sugar [X] is

View Question But-2-yne is reacted separately with one mole of Hydrogen as shown below :
A. A is more soluble than B.
B. The boiling

View Question Resonance in carbonate ion $$\left(\mathrm{CO}_{3}{ }^{2-}\right)$$ is
Which of the following is true?

View Question Match List I with List II
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View Question In the following reaction, 'A' is

View Question A solution of $$\mathrm{FeCl_3}$$ when treated with $$\mathrm{K_4[Fe(CN)_6]}$$ gives a prussium blue precipitate due to

View Question Identify the incorrect option from the following

View Question Decreasing order of dehydration of the following alcohols is

View Question 25 mL of an aqueous solution of KCl was found to require 20 mL of 1 M $$\mathrm{AgNO_3}$$ solution when titrated using $

View Question Electrons in a cathode ray tube have been emitted with a velocity of 1000 m s$$^{-1}$$. The number of following statemen

View Question At what pH, given half cell $$\mathrm{MnO_{4}^{-}(0.1~M)~|~Mn^{2+}(0.001~M)}$$ will have electrode potential of 1.282 V?

View Question A and B are two substances undergoing radioactive decay in a container. The half life of A is 15 min and that of B is 5

View Question At $$25^{\circ} \mathrm{C}$$, the enthalpy of the following processes are given :
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View Question Sum of oxidation states of bromine in bromic acid and perbromic acid is ___________.

View Question Number of isomeric compounds with molecular formula $$\mathrm{C}_{9} \mathrm{H}_{10} \mathrm{O}$$ which (i) do not disso

View Question The total number of chiral compound/s from the following is ______________.

View Question (i) $$\mathrm{X}(\mathrm{g}) \rightleftharpoons \mathrm{Y}(\mathrm{g})+\mathrm{Z}(\mathrm{g}) \quad \mathrm{K}_{\mathrm{

View Question The density of $$3 \mathrm{M}$$ solution of $$\mathrm{NaCl}$$ is $$1.0 \mathrm{~g} \mathrm{~mL}^{-1}$$. Molality of the

View Question ## Mathematics

The value of $$\frac{1}{1 ! 50 !}+\frac{1}{3 ! 48 !}+\frac{1}{5 ! 46 !}+\ldots .+\frac{1}{49 ! 2 !}+\frac{1}{51 ! 1 !}$$

View Question Let $$S$$ be the set of all solutions of the equation $$\cos ^{-1}(2 x)-2 \cos ^{-1}\left(\sqrt{1-x^{2}}\right)=\pi, x \

View Question Let $$R$$ be a relation on $$\mathbb{R}$$, given by $$R=\{(a, b): 3 a-3 b+\sqrt{7}$$ is an irrational number $$\}$$. The

View Question The shortest distance between the lines $${{x - 5} \over 1} = {{y - 2} \over 2} = {{z - 4} \over { - 3}}$$ and $${{x + 3

View Question Let $$S$$ denote the set of all real values of $$\lambda$$ such that the system of equations
$$\lambda x+y+z=1$$
$$x+\la

View Question Let $$S = \left\{ {x:x \in \mathbb{R}\,\mathrm{and}\,{{(\sqrt 3 + \sqrt 2 )}^{{x^2} - 4}} + {{(\sqrt 3 - \sqrt 2 )}^{{

View Question If the center and radius of the circle $$\left| {{{z - 2} \over {z - 3}}} \right| = 2$$ are respectively $$(\alpha,\beta

View Question The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are 1, 3, 5, then the sum of cubes o

View Question Let $$f(x) = 2x + {\tan ^{ - 1}}x$$ and $$g(x) = {\log _e}(\sqrt {1 + {x^2}} + x),x \in [0,3]$$. Then

View Question Let $$f(x) = \left| {\matrix{
{1 + {{\sin }^2}x} & {{{\cos }^2}x} & {\sin 2x} \cr
{{{\sin }^2}x} & {1 + {{\cos }

View Question The area enclosed by the closed curve $$\mathrm{C}$$ given by the differential equation $$\frac{d y}{d x}+\frac{x+a}{y-2

View Question If the orthocentre of the triangle, whose vertices are (1, 2), (2, 3) and (3, 1) is $$(\alpha,\beta)$$, then the quadrat

View Question If $$y=y(x)$$ is the solution curve of the differential equation $$\frac{d y}{d x}+y \tan x=x \sec x, 0 \leq x \leq \fra

View Question If $$\int_\limits{0}^{1}\left(x^{21}+x^{14}+x^{7}\right)\left(2 x^{14}+3 x^{7}+6\right)^{1 / 7} d x=\frac{1}{l}(11)^{m /

View Question Let $$a_{1}=8, a_{2}, a_{3}, \ldots, a_{n}$$ be an A.P. If the sum of its first four terms is 50 and the sum of its last

View Question Let $$f: \mathbb{R} \rightarrow \mathbb{R}$$ be a differentiable function such that $$f^{\prime}(x)+f(x)=\int_\limits{0}

View Question The remainder, when $$19^{200}+23^{200}$$ is divided by 49 , is ___________.

View Question The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is ____________.

View Question The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that

View Question Let $$A$$ be the area bounded by the curve $$y=x|x-3|$$, the $$x$$-axis and the ordinates $$x=-1$$ and $$x=2$$. Then $$1

View Question $$A(2,6,2), B(-4,0, \lambda), C(2,3,-1)$$ and $$D(4,5,0),|\lambda| \leq 5$$ are the vertices of a quadrilateral $$A B C

View Question If $$f(x)=x^{2}+g^{\prime}(1) x+g^{\prime \prime}(2)$$ and $$g(x)=f(1) x^{2}+x f^{\prime}(x)+f^{\prime \prime}(x)$$, the

View Question ## Physics

Let $$\sigma$$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electri

View Question '$$n$$' polarizing sheets are arranged such that each makes an angle $$45^{\circ}$$ with the preceeding sheet. An unpola

View Question Match List - I with List - II :
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View Question Match List I with List II:
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View Question Find the magnetic field at the point $$\mathrm{P}$$ in figure. The curved portion is a semicircle connected to two long

View Question The equivalent resistance between $$A$$ and $$B$$ of the network shown in figure;

View Question If earth has a mass nine times and radius twice to that of a planet P. Then $$\frac{v_{e}}{3} \sqrt{x} \mathrm{~ms}^{-1}

View Question A steel wire with mass per unit length $$7.0 \times 10^{-3} \mathrm{~kg} \mathrm{~m}^{-1}$$ is under tension of $$70 \ma

View Question An object moves with speed $$v_1,v_2$$ and $$v_3$$ along a line segment AB, BC and CD respectively as shown in figure. W

View Question A child stands on the edge of the cliff $$10 \mathrm{~m}$$ above the ground and throws a stone horizontally with an init

View Question A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of $$\lambda$$. An alpha particl

View Question Given below are two statements:
Statement I: Acceleration due to gravity is different at different places on the surface

View Question A sample of gas at temperature $$T$$ is adiabatically expanded to double its volume. The work done by the gas in the pro

View Question A block of mass $$5 \mathrm{~kg}$$ is placed at rest on a table of rough surface. Now, if a force of $$30 \mathrm{~N}$$

View Question Match List I with List II :
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View Question The mass of proton, neutron and helium nucleus are respectively $$1.0073~u,1.0087~u$$ and $$4.0015~u$$. The binding ener

View Question $$\left(P+\frac{a}{V^{2}}\right)(V-b)=R T$$ represents the equation of state of some gases. Where $$P$$ is the pressure,

View Question The average kinetic energy of a molecule of the gas is

View Question A mercury drop of radius $$10^{-3}~\mathrm{m}$$ is broken into 125 equal size droplets. Surface tension of mercury is $$

View Question Two equal positive point charges are separated by a distance $$2 a$$. The distance of a point from the centre of the lin

View Question A charge particle of $$2 ~\mu \mathrm{C}$$ accelerated by a potential difference of $$100 \mathrm{~V}$$ enters a region

View Question A light of energy $$12.75 ~\mathrm{eV}$$ is incident on a hydrogen atom in its ground state. The atom absorbs the radiat

View Question A thin cylindrical rod of length $$10 \mathrm{~cm}$$ is placed horizontally on the principle axis of a concave mirror of

View Question A small particle moves to position $$5 \hat{i}-2 \hat{j}+\hat{k}$$ from its initial position $$2 \hat{i}+3 \hat{j}-4 \ha

View Question A series LCR circuit is connected to an ac source of $$220 \mathrm{~V}, 50 \mathrm{~Hz}$$. The circuit contain a resista

View Question A solid cylinder is released from rest from the top of an inclined plane of inclination $$30^{\circ}$$ and length $$60 \

View Question The amplitude of a particle executing SHM is $$3 \mathrm{~cm}$$. The displacement at which its kinetic energy will be $$

View Question A certain pressure '$$\mathrm{P}$$' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compre

View Question