JEE Main 2022 (Online) 26th June Morning Shift

Paper was held on
Sun, Jun 26, 2022 3:30 AM

## Chemistry

A commercially sold conc. HCl is 35% HCl by mass. If the density of this commercial acid is 1.46 g/mL, the molarity of t

View Question An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g mL$$-$$1 and 40.

View Question If the radius of the 3rd Bohr's orbit of hydrogen atom is r3 and the radius of 4th Bohr's orbit is r4. Then :

View Question Consider the ions/molecule
O$$_2^ + $$, O2, O$$_2^ - $$, O$$_2^ {2-} $$
For increasing bond order the correct option is

View Question The $${\left( {{{\partial E} \over {\partial T}}} \right)_P}$$ of different types of half cells are as follows:
.tg {b

View Question Choose the correct stability order of group 13 elements in their + 1 oxidation state :

View Question Given below are two statements :
Statement I : According to Ellingham diagram, any metal oxide with higher $$\Delta$$G$$

View Question Consider the following reaction:
$$2HSO_4^ - (aq)\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_{(2)\,Hydrolysis}^{(1

View Question The correct order of melting point is :

View Question The correct order of melting points of hydrides of group 16 elements is :

View Question Consider the following reaction :
A + alkali $$\to$$ B (Major Product)
If B is an oxoacid of phosphorus with no P-H bond

View Question Polar stratospheric clouds facilitate the formation of :

View Question Given below are two statements :
Statement I : In 'Lassaigne's Test', when both nitrogen and sulphur are present in an o

View Question (C7H5O2)2 $$\buildrel {hv} \over
\longrightarrow $$ [X] $$\to$$ 2C6H5 + 2CO2
Consider the above reaction and identify t

View Question
Consider the above reaction sequence and identify the product B.

View Question Which will have the highest enol content?

View Question Among the following structures, which will show the most stable enamine formation? (Where Me is $$-$$CH3)

View Question Which of the following sets are correct regarding polymer?
(A) Copolymer : Buna-S
(B) Condensation polymer : Nylon-6,6
(

View Question A chemical which stimulates the secretion of pepsin is :

View Question Which statement is not true with respect to nitrate ion test?

View Question For complete combustion of methanol
CH3OH(I) + $${3 \over 2}$$O2(g) $$\to$$ CO2(g) + 2H2O(I)
the amount of heat produced

View Question A 0.5 percent solution of potassium chloride was found to freeze at $$-$$0.24$$^\circ$$C. The percentage dissociation of

View Question 50 mL of 0.1 M CH3COOH is being titrated against 0.1 M NaOH. When 25 mL of NaOH has been added, the pH of the solution w

View Question A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are indepen

View Question 2.0 g of H2 gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per

View Question The spin-only magnetic moment value of the most basic oxide of vanadium among V2O3, V2O4 and V2O5 is _____________ B.M.

View Question The spin-only magnetic moment value of an octahedral complex among CoCl3.4NH3, NiCl2.6H2O and PtCl4.2HCl, which upon rea

View Question On complete combustion 0.30 g of an organic compound gave 0.20 g of carbon dioxide and 0.10 g of water. The percentage o

View Question Compound 'P' on nitration with dil. HNO3 yields two isomers (A) and (B). These isomers can be separated by steam distill

View Question The number of oxygens present in a nucleotide formed from a base, that is present only in RNA is ___________.

View Question ## Mathematics

Let $$f(x) = {{x - 1} \over {x + 1}},\,x \in R - \{ 0, - 1,1\} $$. If $${f^{n + 1}}(x) = f({f^n}(x))$$ for all n $$\in$$

View Question Let $$A = \left\{ {z \in C:\left| {{{z + 1} \over {z - 1}}} \right|

View Question Let A be a 3 $$\times$$ 3 invertible matrix. If |adj (24A)| = |adj (3 adj (2A))|, then |A|2 is equal to :

View Question The ordered pair (a, b), for which the system of linear equations
3x $$-$$ 2y + z = b
5x $$-$$ 8y + 9z = 3
2x + y + az =

View Question The remainder when (2021)2023 is divided by 7 is :

View Question $$\mathop {\lim }\limits_{x \to {1 \over {\sqrt 2 }}} {{\sin ({{\cos }^{ - 1}}x) - x} \over {1 - \tan ({{\cos }^{ - 1}}x

View Question Let f, g : R $$\to$$ R be two real valued functions defined as $$f(x) = \left\{ {\matrix{
{ - |x + 3|} & , & {x 1 and

View Question The sum of the absolute minimum and the absolute maximum values of the function f(x) = |3x $$-$$ x2 + 2| $$-$$ x in the

View Question Let S be the set of all the natural numbers, for which the line $${x \over a} + {y \over b} = 2$$ is a tangent to the cu

View Question The area bounded by the curve y = |x2 $$-$$ 9| and the line y = 3 is :

View Question Let R be the point (3, 7) and let P and Q be two points on the line x + y = 5 such that PQR is an equilateral triangle.

View Question Let C be a circle passing through the points A(2, $$-$$1) and B(3, 4). The line segment AB s not a diameter of C. If r i

View Question Let the normal at the point on the parabola y2 = 6x pass through the point (5, $$-$$8). If the tangent at P to the parab

View Question If the two lines $${l_1}:{{x - 2} \over 3} = {{y + 1} \over {-2}},\,z = 2$$ and $${l_2}:{{x - 1} \over 1} = {{2y + 3} \o

View Question Let the plane 2x + 3y + z + 20 = 0 be rotated through a right angle about its line of intersection with the plane x $$-$

View Question If $$\overrightarrow a \,.\,\overrightarrow b = 1,\,\overrightarrow b \,.\,\overrightarrow c = 2$$ and $$\overrightarr

View Question Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to the probability of getting 5 head

View Question The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8. If M is the mean deviation of the numbers about t

View Question Let $$f(x) = 2{\cos ^{ - 1}}x + 4{\cot ^{ - 1}}x - 3{x^2} - 2x + 10$$, $$x \in [ - 1,1]$$. If [a, b] is the range of the

View Question Let $$\Delta$$, $$\nabla $$ $$\in$$ {$$\wedge$$, $$\vee$$} be such that p $$\nabla$$ q $$\Rightarrow$$ ((p $$\Delta$$ q)

View Question The sum of the cubes of all the roots of the equation $${x^4} - 3{x^3} - 2{x^2} + 3x + 1 = 0$$ is _________.

View Question There are ten boys B1, B2, ......., B10 and five girls G1, G2, ........, G5 in a class. Then the number of ways of formi

View Question Let the common tangents to the curves $$4({x^2} + {y^2}) = 9$$ and $${y^2} = 4x$$ intersect at the point Q. Let an ellip

View Question Let f(x) = max {|x + 1|, |x + 2|, ....., |x + 5|}. Then $$\int\limits_{ - 6}^0 {f(x)dx} $$ is equal to __________.

View Question Let the solution curve y = y(x) of the differential equation $$(4 + {x^2})dy - 2x({x^2} + 3y + 4)dx = 0$$ pass through t

View Question If $${\sin ^2}(10^\circ )\sin (20^\circ )\sin (40^\circ )\sin (50^\circ )\sin (70^\circ ) = \alpha - {1 \over {16}}\sin

View Question Let A = {n $$\in$$ N : H.C.F. (n, 45) = 1} and
Let B = {2k : k $$\in$$ {1, 2, ......., 100}}. Then the sum of all the el

View Question The value of the integral $${{48} \over {{\pi ^4}}}\int\limits_0^\pi {\left( {{{3\pi {x^2}} \over 2} - {x^3}} \right){{

View Question Let $$A = \sum\limits_{i = 1}^{10} {\sum\limits_{j = 1}^{10} {\min \,\{ i,j\} } } $$ and $$B = \sum\limits_{i = 1}^{10}

View Question Let $$S = (0,2\pi ) - \left\{ {{\pi \over 2},{{3\pi } \over 4},{{3\pi } \over 2},{{7\pi } \over 4}} \right\}$$. Let $$y

View Question ## Physics

An expression for a dimensionless quantity P is given by $$P = {\alpha \over \beta }{\log _e}\left( {{{kt} \over {\beta

View Question A person is standing in an elevator. In which situation, he experiences weight loss?

View Question An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero?

View Question A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centrip

View Question A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads$$-$$1 in a horizontal pl

View Question The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly represented

View Question The efficiency of a Carnot's engine, working between steam point and ice point, will be :

View Question Time period of a simple pendulum in a stationary lift is 'T'. If the lift accelerates with $${g \over 6}$$ vertically up

View Question A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving

View Question Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is ch

View Question Given below two statements : One is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A) : Non-p

View Question The magnetic flux through a coil perpendicular to its plane is varying according to the relation $$\phi = (5{t^3} + 4{t

View Question An aluminium wire is stretched to make its length, 0.4% larger. The percentage change in resistance is :

View Question A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to t

View Question If Electric field intensity of a uniform plane electromagnetic wave is given as $$E = - 301.6\sin (kz - \omega t){\wide

View Question In free space, an electromagnetic wave of 3 GHz frequency strikes over the edge of an object of size $${\lambda \over {

View Question An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and moment

View Question How many alpha and beta particles are emitted when Uranium 92U238 decays to lead 82Pb206 ?

View Question The I-V characteristics of a p-n junction diode in forward bias is shown in the figure. The ratio of dynamic resistance,

View Question Choose the correct statement for amplitude modulation :

View Question A fighter jet is flying horizontally at a certain altitude with a speed of 200 ms$$-$$1. When it passes directly overhea

View Question A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal t

View Question The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a

View Question The elongation of a wire on the surface of the earth is 10$$-$$4 m. The same wire of same dimensions is elongated by 6 $

View Question A 10 $$\Omega$$, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after swit

View Question A light ray is incident, at an incident angle $$\theta$$1, on the system of tow plane mirrors M1 and M2 having an inclin

View Question In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coinci

View Question As per the given circuit, the value of current through the battery will be ____________ A.

View Question A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 $$\Ome

View Question An ideal fluid of density 800 kgm$$-$$3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-se

View Question