JEE Main 2022 (Online) 29th June Evening Shift

Paper was held on
Wed, Jun 29, 2022 9:30 AM

## Chemistry

Using the rules for significant figures, the correct answer for the expression $${{0.02858 \times 0.112} \over {0.5702}}

View Question Which of the following is the correct plot for the probability density $${\psi ^2}$$ (r) as a function of distance 'r' o

View Question Consider the species CH4, NH$$_4^ + $$ and BH$$_4^ - $$. Choose the correct option with respect to the these species.

View Question 4.0 moles of argon and 5.0 moles of PCl5 are introduced into an evacuated flask of 100 litre capacity at 610 K. The syst

View Question A 42.12% (w/v) solution of NaCl causes precipitation of a certain sol in 10 hours. The coagulating value of NaCl for the

View Question Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The

View Question Match List I with List II.
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View Question Given below are two statements.
$$\bullet$$ Statement I : In CuSO4 . 5H2O, Cu-O bonds are present.
$$\bullet$$ Statement

View Question Amongst baking soda, caustic soda and washing soda, carbonate anion is present in :

View Question Number of lone pair(s) of electrons on central atom and the shape BrF3 molecule respectively, are

View Question Aqueous solution of which of the following boron compounds will be strongly basic in nature?

View Question Sulphur dioxide is one of the components of polluted air. SO2 is also a major contributor to acid rain. The correct and

View Question Which of the following carbocations is most stable?

View Question
The stable carbocation formed in the above reaction is

View Question Two isomers (A) and (B) with Molar mass 184 g/mol and elemental composition C, 52.2%; H, 4.9% and Br 42.9% gave benzoic

View Question In Friedel-Crafts alkylation of aniline, one gets

View Question Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Dac

View Question The structure of protein that is unaffected by heating is

View Question The mixture of chloroxylenol and terpineol is an example of

View Question A white precipitate was formed when BaCl2 was added to water extract of an inorganic salt. Further, a gas 'X' with chara

View Question A box contains 0.90 g of liquid water in equilibrium with water vapour at 27$$^\circ$$C. The equilibrium vapour pressure

View Question 2.2 g of nitrous oxide (N2O) gas is cooled at a constant pressure of 1 atm from 310 K to 270 K causing the compression o

View Question Elevation in boiling point for 1.5 molal solution of glucose in water is 4 K. The depression in freezing point for 4.5 m

View Question The cell potential for the given cell at 298 K
Pt| H2 (g, 1 bar) | H+ (aq) || Cu2+ (aq) | Cu(s)
is 0.31 V. The pH of the

View Question The equation k = (6.5 $$\times$$ 1012s$$-$$1)e$$-$$26000K/T is followed for the decomposition of compound A. The activat

View Question Spin only magnetic moment of [MnBr6]4$$-$$ is _________ B.M. (round off to the closest integer)

View Question For the reaction given below :
CoCl3 . xNH3 + AgNO3 (aq) $$\to$$
If two equivalents of AgCl precipitate out, then the va

View Question The number of chiral alcohol(s) with molecular formula C4H10O is ________.

View Question In the given reaction,
the number of sp2 hybridised carbon(s) in compound 'X' is ________.

View Question In the given reaction,
The number of $$\pi$$ electrons present in the product 'P' is _________.

View Question ## Mathematics

Let $$\alpha$$ be a root of the equation 1 + x2 + x4 = 0. Then, the value of $$\alpha$$1011 + $$\alpha$$2022 $$-$$ $$\al

View Question Let arg(z) represent the principal argument of the complex number z. Then, |z| = 3 and arg(z $$-$$ 1) $$-$$ arg(z + 1) =

View Question Let $$A = \left( {\matrix{
2 & { - 1} \cr
0 & 2 \cr
} } \right)$$. If $$B = I - {}^5{C_1}(adj\,A) + {}^5{C_2

View Question The sum of the infinite series $$1 + {5 \over 6} + {{12} \over {{6^2}}} + {{22} \over {{6^3}}} + {{35} \over {{6^4}}} +

View Question The value of $$\mathop {\lim }\limits_{x \to 1} {{({x^2} - 1){{\sin }^2}(\pi x)} \over {{x^4} - 2{x^3} + 2x - 1}}$$ is e

View Question Let f : R $$\to$$ R be a function defined by f(x) = (x $$-$$ 3)n1 (x $$-$$ 5)n2, n1, n2 $$\in$$ N. Then, which of the fo

View Question Let f be a real valued continuous function on [0, 1] and $$f(x) = x + \int\limits_0^1 {(x - t)f(t)dt} $$.
Then, which of

View Question If $$\int\limits_0^2 {\left( {\sqrt {2x} - \sqrt {2x - {x^2}} } \right)dx = \int\limits_0^1 {\left( {1 - \sqrt {1 - {y^

View Question If y = y(x) is the solution of the differential equation $$\left( {1 + {e^{2x}}} \right){{dy} \over {dx}} + 2\left( {1 +

View Question Let P : y2 = 4ax, a > 0 be a parabola with focus S. Let the tangents to the parabola P make an angle of $${\pi \over 4}

View Question Let a triangle ABC be inscribed in the circle $${x^2} - \sqrt 2 (x + y) + {y^2} = 0$$ such that $$\angle BAC = {\pi \ov

View Question Let $${{x - 2} \over 3} = {{y + 1} \over { - 2}} = {{z + 3} \over { - 1}}$$ lie on the plane $$px - qy + z = 5$$, for so

View Question The distance of the origin from the centroid of the triangle whose two sides have the equations $$x - 2y + 1 = 0$$ and $

View Question Let Q be the mirror image of the point P(1, 2, 1) with respect to the plane x + 2y + 2z = 16. Let T be a plane passing t

View Question Let A, B, C be three points whose position vectors respectively are
$$\overrightarrow a = \widehat i + 4\widehat j + 3\

View Question The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to :

View Question The number of values of a $$\in$$ N such that the variance of 3, 7, 12, a, 43 $$-$$ a is a natural number is :

View Question From the base of a pole of height 20 meter, the angle of elevation of the top of a tower is 60$$^\circ$$. The pole subte

View Question Negation of the Boolean statement (p $$\vee$$ q) $$\Rightarrow$$ (($$\sim$$ r) $$\vee$$ p) is equivalent to :

View Question Let n $$\ge$$ 5 be an integer. If 9n $$-$$ 8n $$-$$ 1 = 64$$\alpha$$ and 6n $$-$$ 5n $$-$$ 1 = 25$$\beta$$, then $$\alph

View Question Let $$\overrightarrow a = \widehat i - 2\widehat j + 3\widehat k$$, $$\overrightarrow b = \widehat i

View Question Let y = y(x), x > 1, be the solution of the differential equation $$(x - 1){{dy} \over {dx}} + 2xy = {1 \over {x - 1}}$$

View Question Let 3, 6, 9, 12, ....... upto 78 terms and 5, 9, 13, 17, ...... upto 59 terms be two series. Then, the sum of the terms

View Question The number of solutions of the equation $$\sin x = {\cos ^2}x$$ in the interval (0, 10) is _________.

View Question For real numbers a, b (a > b > 0), let
Area $$\left\{ {(x,y):{x^2} + {y^2} \le {a^2}\,and\,{{{x^2}} \over {{a^2}}} + {{{

View Question Let f and g be twice differentiable even functions on ($$-$$2, 2) such that $$f\left( {{1 \over 4}} \right) = 0$$, $$f\l

View Question Let the coefficients of x$$-$$1 and x$$-$$3 in the expansion of $${\left( {2{x^{{1 \over 5}}} - {1 \over {{x^{{1 \over 5

View Question The total number of four digit numbers such that each of first three digits is divisible by the last digit, is equal to

View Question Let $$M = \left[ {\matrix{
0 & { - \alpha } \cr
\alpha & 0 \cr
} } \right]$$, where $$\alpha$$ is a non-zer

View Question Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If $$f(g(x)) = 8{x^2} - 2x$$ and $$g(f(x)) = 4

View Question ## Physics

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m in t

View Question At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6

View Question Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-poi

View Question The speed of light in media 'A' and 'B' are $$2.0 \times {10^{10}}$$ cm/s and $$1.5 \times {10^{10}}$$ cm/s respectively

View Question In the following nuclear reaction,
$$D\buildrel \alpha \over
\longrightarrow {D_1}\buildrel {{\beta ^ - }} \over
\lon

View Question The electric field at a point associated with a light wave is given by
E = 200 [sin (6 $$\times$$ 1015)t + sin (9 $$\tim

View Question A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half

View Question Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways. The work d

View Question Two long current carrying conductors are placed to each other at a distance of 8 cm between them. The magnitude of magne

View Question The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased t

View Question The TV transmission tower at a particular station has a height of 125 m. For doubling the coverage of its range, the hei

View Question The motion of a simple pendulum executing S.H.M. is represented by the following equation.
$$y = A\sin (\pi t + \phi )$$

View Question A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in c

View Question Given below are two statements :
Statement I : The electric force changes the speed of the charged particle and hence ch

View Question A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string pa

View Question In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy of block when

View Question A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-f

View Question If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1

View Question The combination of two identical cells, whether connected in series or parallel combination provides the same current th

View Question A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?

View Question The Vernier constant of Vernier callipers is 0.1 mm and it has zero error of ($$-$$0.05) cm. While measuring diameter of

View Question
A small spherical ball of radius 0.1 mm and density 104 kg m$$-$$3 falls freely under gravity through a distance h befo

View Question In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonan

View Question Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance 2000 $$\Omega$$

View Question A potential barrier of 0.4 V exists across a p-n junction. An electron enters the junction from the n-side with a speed

View Question The displacement current of 4.425 $$\mu$$A is developed in the space between the plates of parallel plate capacitor when

View Question The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is I1. The same rod is be

View Question The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gets redu

View Question In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the

View Question An inductor of 0.5 mH, a capacitor of 200 $$\mu$$F and a resistor of 2 $$\Omega$$ are connected in series with a 220 V a

View Question