JEE Main 2023 (Online) 6th April Morning Shift

Paper was held on
Thu, Apr 6, 2023 3:30 AM

## Chemistry

Polymer used in orlon is :

View Question Given below are two statements, one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathb

View Question Match List I with List II
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:soli

View Question The standard electrode potential of $$\mathrm{M}^{+} / \mathrm{M}$$ in aqueous solution does not depend on

View Question The setting time of Cement is increased by adding :

View Question For the reaction
The correct statement is

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

View Question The major products A and B from the following reactions are:

View Question Which of the following options are correct for the reaction
$$2\left[\mathrm{Au}(\mathrm{CN})_{2}\right]^{-}(\mathrm{aq}

View Question For a concentrated solution of a weak electrolyte ($$\mathrm{K}_{\text {eq }}=$$ equilibrium constant) $$\mathrm{A}_{2}

View Question Match List I with List II
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:soli

View Question The difference between electron gain enthalpies will be maximum between :

View Question The major product formed in the following reaction is

View Question Match List I with List II
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:soli

View Question
Compound $$\mathrm{P}$$ is neutral, $$\mathrm{Q}$$ gives effervescence with $$\mathrm{NaHCO}_{3}$$ while $$\mathrm{R}$$

View Question A compound is formed by two elements $$\mathrm{X}$$ and $$\mathrm{Y}$$. The element $$\mathrm{Y}$$ forms cubic close pac

View Question Strong reducing and oxidizing agents among the following, respectively, are :

View Question The possibility of photochemical smog formation is more at :

View Question Number of bromo derivatives obtained on treating ethane with excess of $$\mathrm{Br}_{2}$$ in diffused sunlight is _____

View Question The wavelength of an electron of kinetic energy $$4.50\times10^{-29}$$ J is _________ $$\times 10^{-5}$$ m. (Nearest int

View Question The number of species from the following which have square pyramidal structure is _________
$$\mathrm{PF}_{5}, \mathrm{B

View Question Consider the graph of Gibbs free energy G vs Extent of reaction. The number of statement/s from the following which are

View Question Mass of Urea $$\left(\mathrm{NH}_{2} \mathrm{CONH}_{2}\right)$$ required to be dissolved in $$1000 \mathrm{~g}$$ of wate

View Question The value of $$\log \mathrm{K}$$ for the reaction $$\mathrm{A} \rightleftharpoons \mathrm{B}$$ at $$298 \mathrm{~K}$$ is

View Question Number of ambidentate ligands in a representative metal complex $$\left[\mathrm{M}(\mathrm{en})(\mathrm{SCN})_{4}\right]

View Question If 5 moles of $$\mathrm{BaCl}_{2}$$ is mixed with 2 moles of $$\mathrm{Na}_{3} \mathrm{PO}_{4}$$, the maximum number of

View Question In ammonium - phosphomolybdate, the oxidation state of Mo is + ___________

View Question For the adsorption of hydrogen on platinum, the activation energy is $$30 ~\mathrm{k} ~\mathrm{J} \mathrm{mol}^{-1}$$ an

View Question ## Mathematics

Let $$A = \{ x \in R:[x + 3] + [x + 4] \le 3\} ,$$
$$B = \left\{ {x \in R:{3^x}{{\left( {\sum\limits_{r = 1}^\infty {{3

View Question The sum of the first $$20$$ terms of the series $$5+11+19+29+41+\ldots$$ is :

View Question A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If the probability of at least 4

View Question If the system of equations
$$x+y+a z=b$$
$$2 x+5 y+2 z=6$$
$$x+2 y+3 z=3$$
has infinitely many solutions, then $$2 a+3 b

View Question The straight lines $$\mathrm{l_{1}}$$ and $$\mathrm{l_{2}}$$ pass through the origin and trisect the line segment of the

View Question If the equation of the plane passing through the line of intersection of the planes $$2 x-y+z=3,4 x-3 y+5 z+9=0$$ and pa

View Question One vertex of a rectangular parallelopiped is at the origin $$\mathrm{O}$$ and the lengths of its edges along $$x, y$$ a

View Question The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numb

View Question Let $$\mathrm{A}=\left[\mathrm{a}_{\mathrm{ij}}\right]_{2 \times 2}$$, where $$\mathrm{a}_{\mathrm{ij}} \neq 0$$ for all

View Question Let $$5 f(x)+4 f\left(\frac{1}{x}\right)=\frac{1}{x}+3, x > 0$$. Then $$18 \int_\limits{1}^{2} f(x) d x$$ is equal to :

View Question Let $$I(x)=\int \frac{x^{2}\left(x \sec ^{2} x+\tan x\right)}{(x \tan x+1)^{2}} d x$$. If $$I(0)=0$$, then $$I\left(\fra

View Question Let the position vectors of the points A, B, C and D be
$$5 \hat{i}+5 \hat{j}+2 \lambda \hat{k}, \hat{i}+2 \hat{j}+3 \ha

View Question Let $$\vec{a}=2 \hat{i}+3 \hat{j}+4 \hat{k}, \vec{b}=\hat{i}-2 \hat{j}-2 \hat{k}$$ and $$\vec{c}=-\hat{i}+4 \hat{j}+3 \h

View Question From the top $$\mathrm{A}$$ of a vertical wall $$\mathrm{AB}$$ of height $$30 \mathrm{~m}$$, the angles of depression of

View Question Let $$a_{1}, a_{2}, a_{3}, \ldots, a_{\mathrm{n}}$$ be $$\mathrm{n}$$ positive consecutive terms of an arithmetic progre

View Question Statement $$\mathrm{(P \Rightarrow Q) \wedge(R \Rightarrow Q)}$$ is logically equivalent to :

View Question If $${ }^{2 n} C_{3}:{ }^{n} C_{3}=10: 1$$, then the ratio $$\left(n^{2}+3 n\right):\left(n^{2}-3 n+4\right)$$ is :

View Question The sum of all the roots of the equation $$\left|x^{2}-8 x+15\right|-2 x+7=0$$ is :

View Question If the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of $$\left(\sqrt[4]{2}

View Question If $$2 x^{y}+3 y^{x}=20$$, then $$\frac{d y}{d x}$$ at $$(2,2)$$ is equal to :

View Question Let $$y=y(x)$$ be a solution of the differential equation $$(x \cos x) d y+(x y \sin x+y \cos x-1) d x=0,0

View Question If the area of the region $$S=\left\{(x, y): 2 y-y^{2} \leq x^{2} \leq 2 y, x \geq y\right\}$$ is equal to $$\frac{n+2}{

View Question Let the point $$(p, p+1)$$ lie inside the region $$E=\left\{(x, y): 3-x \leq y \leq \sqrt{9-x^{2}}, 0 \leq x \leq 3\righ

View Question Let $$a \in \mathbb{Z}$$ and $$[\mathrm{t}]$$ be the greatest integer $$\leq \mathrm{t}$$. Then the number of points, wh

View Question Let $$\mathrm{A}=\{1,2,3,4, \ldots ., 10\}$$ and $$\mathrm{B}=\{0,1,2,3,4\}$$. The number of elements in the relation $$

View Question Let the tangent to the curve $$x^{2}+2 x-4 y+9=0$$ at the point $$\mathrm{P}(1,3)$$ on it meet the $$y$$-axis at $$\math

View Question A circle passing through the point $$P(\alpha, \beta)$$ in the first quadrant touches the two coordinate axes at the po

View Question The coefficient of $$x^{18}$$ in the expansion of $$\left(x^{4}-\frac{1}{x^{3}}\right)^{15}$$ is __________.

View Question Let the image of the point $$\mathrm{P}(1,2,3)$$ in the plane $$2 x-y+z=9$$ be $$\mathrm{Q}$$. If the coordinates of the

View Question The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is ________

View Question ## Physics

A particle is moving with constant speed in a circular path. When the particle turns by an angle $$90^{\circ}$$, the rat

View Question The induced emf can be produced in a coil by
A. moving the coil with uniform speed inside uniform magnetic field
B. movi

View Question Name the logic gate equivalent to the diagram attached

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

View Question A source supplies heat to a system at the rate of $$1000 \mathrm{~W}$$. If the system performs work at a rate of $$200 \

View Question A small ball of mass $$\mathrm{M}$$ and density $$\rho$$ is dropped in a viscous liquid of density $$\rho_{0}$$. After s

View Question A small block of mass $$100 \mathrm{~g}$$ is tied to a spring of spring constant $$7.5 \mathrm{~N} / \mathrm{m}$$ and le

View Question Given below are two statements : one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\math

View Question The kinetic energy of an electron, $$\alpha$$-particle and a proton are given as $$4 \mathrm{~K}, 2 \mathrm{~K}$$ and $$

View Question A monochromatic light wave with wavelength $$\lambda_{1}$$ and frequency $$v_{1}$$ in air enters another medium. If the

View Question By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by $$

View Question A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distr

View Question A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing $$\math

View Question A mass $$m$$ is attached to two strings as shown in figure. The spring constants of two springs are $$\mathrm{K}_{1}$$ a

View Question Two resistances are given as $$\mathrm{R}_{1}=(10 \pm 0.5) \Omega$$ and $$\mathrm{R}_{2}=(15 \pm 0.5) \Omega$$. The perc

View Question For the plane electromagnetic wave given by $$E=E_{0} \sin (\omega t-k x)$$ and $$B=B_{0} \sin (\omega t-k x)$$, the rat

View Question The resistivity $$(\rho)$$ of semiconductor varies with temperature. Which of the following curve represents the correct

View Question The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength i

View Question The number of air molecules per cm$$^3$$ increased from $$3\times10^{19}$$ to $$12\times10^{19}$$. The ratio of collisio

View Question For a uniformly charged thin spherical shell, the electric potential (V) radially away from the centre (O) of shell can

View Question The radius of fifth orbit of the $$\mathrm{Li}^{++}$$ is __________ $$\times 10^{-12} \mathrm{~m}$$.
Take: radius of hyd

View Question Two identical solid spheres each of mass $$2 \mathrm{~kg}$$ and radii $$10 \mathrm{~cm}$$ are fixed at the ends of a lig

View Question A steel rod has a radius of $$20 \mathrm{~mm}$$ and a length of $$2.0 \mathrm{~m}$$. A force of $$62.8 ~\mathrm{kN}$$ st

View Question Two identical circular wires of radius $$20 \mathrm{~cm}$$ and carrying current $$\sqrt{2} \mathrm{~A}$$ are placed in p

View Question A pole is vertically submerged in swimming pool, such that it gives a length of shadow $$2.15 \mathrm{~m}$$ within water

View Question A person driving car at a constant speed of $$15 \mathrm{~m} / \mathrm{s}$$ is approaching a vertical wall. The person n

View Question A particle of mass $$10 \mathrm{~g}$$ moves in a straight line with retardation $$2 x$$, where $$x$$ is the displacement

View Question The length of a metallic wire is increased by $$20 \%$$ and its area of cross section is reduced by $$4 \%$$. The percen

View Question A parallel plate capacitor with plate area $$\mathrm{A}$$ and plate separation $$\mathrm{d}$$ is filled with a dielectri

View Question An ideal transformer with purely resistive load operates at $$12 ~\mathrm{kV}$$ on the primary side. It supplies electri

View Question