JEE Main 2022 (Online) 29th June Morning Shift

Paper was held on
Wed, Jun 29, 2022 3:30 AM

## Chemistry

Production of iron in blast furnace follows the following equation
Fe3O4(s) + 4CO(g) $$\to$$ 3Fe(l) + 4CO2(g)
when 4.640

View Question Which of the following statements are correct?
(A) The electronic configuration of Cr is [Ar] 3d5 4s1.
(B) The magnetic

View Question The solubility of AgCl will be maximum in which of the following?

View Question The electronic configuration of Pt (atomic number 78) is :

View Question Two isomers 'A' and 'B' with molecular formula C4H8 give different products on oxidation with KMnO4 in acidic medium. Is

View Question
In the given conversion the compound A is :

View Question Given below are two statements :
Statement I : The esterification of carboxylic acid with an alcohol is a nucleophilic a

View Question
Consider the above reactions, the product A and product B respectively are

View Question Sugar moiety in DNA and RNA molecules respectively are

View Question Given below are two statements :
Statement I : Phenols are weakly acidic.
Statement II : Therefore they are freely solub

View Question 17.0 g of NH3 completely vapourises at $$-$$33.42$$^\circ$$C and 1 bar pressure and the enthalpy change in the process i

View Question 1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for thi

View Question A dilute solution of sulphuric acid is electrolysed using a current of 0.10 A for 2 hours to produce hydrogen and oxygen

View Question The activation energy of one of the reactions in a biochemical process is 532611 J mol$$-$$1. When the temperature falls

View Question The number of terminal oxygen atoms present in the product B obtained from the following reaction is _____________.
FeCr

View Question An acidified manganate solution undergoes disproportionation reaction. The spin-only magnetic moment value of the produc

View Question Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from 0.55 g of the

View Question Observe structures of the following compounds
The total number of structures/compounds which possess asymmetric carbon

View Question C6H12O6 $$\buildrel \text{Zymase} \over
\longrightarrow $$ A $$\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_\Delta

View Question ## Mathematics

The probability that a randomly chosen 2 $$\times$$ 2 matrix with all the entries from the set of first 10 primes, is si

View Question Let the solution curve of the differential equation
$$x{{dy} \over {dx}} - y = \sqrt {{y^2} + 16{x^2}} $$, $$y(1) = 3$$

View Question Let $$f:R \to R$$ be a function defined by :
$$f(x) = \left\{ {\matrix{
{\max \,\{ {t^3} - 3t\} \,t \le x} & ; & {x \

View Question Let $$\overrightarrow a = \alpha \widehat i + 3\widehat j - \widehat k$$, $$\overrightarrow b = 3\widehat i - \beta \w

View Question The area enclosed by y2 = 8x and y = $$\sqrt2$$ x that lies outside the triangle formed by y = $$\sqrt2$$ x, x = 1, y =

View Question If the system of linear equations
2x + y $$-$$ z = 7
x $$-$$ 3y + 2z = 1
x + 4y + $$\delta$$z = k, where $$\delta$$, k $

View Question Let $$\alpha$$ and $$\beta$$ be the roots of the equation x2 + (2i $$-$$ 1) = 0. Then, the value of |$$\alpha$$8 + $$\be

View Question Let $$A = [{a_{ij}}]$$ be a square matrix of order 3 such that $${a_{ij}} = {2^{j - i}}$$, for all i, j = 1, 2, 3. Then,

View Question Let a set A = A1 $$\cup$$ A2 $$\cup$$ ..... $$\cup$$ Ak, where Ai $$\cap$$ Aj = $$\phi$$ for i $$\ne$$ j, 1 $$\le$$ j, j

View Question The distance between the two points A and A' which lie on y = 2 such that both the line segments AB and A' B (where B is

View Question A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an

View Question The domain of the function $${\cos ^{ - 1}}\left( {{{2{{\sin }^{ - 1}}\left( {{1 \over {4{x^2} - 1}}} \right)} \over \pi

View Question If the constant term in the expansion of
$${\left( {3{x^3} - 2{x^2} + {5 \over {{x^5}}}} \right)^{10}}$$ is 2k.l, where

View Question $$\int_0^5 {\cos \left( {\pi \left( {x - \left[ {{x \over 2}} \right]} \right)} \right)dx} $$,
where [t] denotes greates

View Question Let PQ be a focal chord of the parabola y2 = 4x such that it subtends an angle of $${\pi \over 2}$$ at the point (3, 0)

View Question Let the mean and the variance of 5 observations x1, x2, x3, x4, x5 be $${24 \over 5}$$ and $${194 \over 25}$$ respective

View Question Let $$S = \{ z \in C:|z - 2| \le 1,\,z(1 + i) + \overline z (1 - i) \le 2\} $$. Let $$|z - 4i|$$ attains minimum and max

View Question Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} + {{\sqrt 2 y} \over {2{{\cos }^4}x - {{\c

View Question $$50\tan \left( {3{{\tan }^{ - 1}}\left( {{1 \over 2}} \right) + 2{{\cos }^{ - 1}}\left( {{1 \over {\sqrt 5 }}} \right)}

View Question Let c, k $$\in$$ R. If $$f(x) = (c + 1){x^2} + (1 - {c^2})x + 2k$$ and $$f(x + y) = f(x) + f(y) - xy$$, for all x, y $$\

View Question Let $$H:{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$, a > 0, b > 0, be a hyperbola such that the sum of lengt

View Question Let b1b2b3b4 be a 4-element permutation with bi $$\in$$ {1, 2, 3, ........, 100} for 1 $$\le$$ i $$\le$$ 4 and bi $$\ne$

View Question ## Physics

Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s. Ball B is throw

View Question A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2. Two smaller pieces fly off perpen

View Question A spherical shell of 1 kg mass and radius R is rolling with angular speed $$\omega$$ on horizontal plane (as shown in fi

View Question A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat

View Question A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1 kg and 2 kg are suspen

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

View Question A particle of mass 500 gm is moving in a straight line with velocity v = b x5/2. The work done by the net force during i

View Question A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge

View Question For a series LCR circuit, I vs $$\omega$$ curve is shown :
(a) To the left of $$\omega$$r, the circuit is mainly capacit

View Question A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing

View Question In van der Waal equation $$\left[ {P + {a \over {{V^2}}}} \right]$$ [V $$-$$ b] = RT; P is pressure, V is volume, R is u

View Question Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. If magnitude of $$\overrightarrow A

View Question The escape velocity of a body on a planet 'A' is 12 kms$$-$$1. The escape velocity of the body on another planet 'B', wh

View Question A longitudinal wave is represented by $$x = 10\sin 2\pi \left( {nt - {x \over \lambda }} \right)$$ cm. The maximum parti

View Question A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged.

View Question A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1 $$\times$

View Question Using Young's double slit experiment, a monochromatic light of wavelength 5000 $$\mathop A\limits^o $$ produces fringes

View Question Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately

View Question The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this l

View Question As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound pla

View Question A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air jet when it

View Question The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31

View Question $$\sqrt {{d_1}} $$ and $$\sqrt {{d_2}} $$ are the impact parameters corresponding to scattering angles 60$$^\circ$$ and

View Question A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5.

View Question For the network shown below, the value of VB $$-$$ VA is ____________ V.

View Question