JEE Main 2021 (Online) 22th July Evening Shift

Paper was held on
Thu, Jul 22, 2021 9:30 AM

## Chemistry

The water having more dissolved O2 is :

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Which one of the following statements for D.I. Mendeleeff, is incorrect?

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Which purification technique is used for high boiling organic liquid compound (decomposes near its boiling point)?

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Which of the following compounds will provide a tertiary alcohol or reaction with excess of CH3MgBr followed by hydrolys

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Which of the following compounds does not exhibit resonance?

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Match List-I with List-II
List-I(Elements)
List-II(Properties)
(a)
Ba
(i)

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In the chemical reactions given above A and B respectively are :

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Isotope(s) of hydrogen which emits low energy $$\beta$$$$-$$ particles with t1/2 value > 12 years is/are

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Match List-I with List-II :
List-I(Species)
List-II(Hybrid Orbitals)
(a)
$$S{F_4}$

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When silver nitrate solution is added to potassium iodide solution then the sol produced is :

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Which of the following molecules does not show stereo isomerism?

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Given below are the statements about diborane(a) Diborane is prepared by the oxidation of NaBH4 with I2(b) Each boron at

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Which one of the following group-15 hydride is the strongest reducing agent?

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Match List-I with List-II :Choose the correct answer from the options given below :

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The set having ions which are coloured and paramagnetic both is -

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Thiamine and pyridoxine are also known respectively as :

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Sulphide ion is soft base and its ores are common for metals.(a) Pb (b) Al (c) Ag (d) Mg

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An organic compound A (C6H6O) gives dark green colouration with ferric chloride. On treatment with CHCl3 and KOH, follow

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Which one of the following reactions does not occur?

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Which one of the following 0.06 M aqueous solutions has lowest freezing point?

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The total number of unpaired electrons present in [Co(NH3)6]Cl2 and [Co(NH3)6]Cl3 is

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Methylation of 10 g of benzene gave 9.2 g of toluene. Calculate the percentage yield of toluene __________. (Nearest int

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The number of acyclic structural isomers (including geometrical isomers) for pentene are ___________

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Assume a cell with the following reaction$$C{u_{(s)}} + 2A{g^ + }(1 \times {10^{ - 3}}M) \to C{u^{2 + }}(0.250M) + 2A{g_

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Value of KP for the equilibrium reactionN2O4(g) $$\rightleftharpoons$$ 2NO2(g) at 288 K is 47.9. The KC for this reactio

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If the standard molar enthalpy change for combustion of graphite powder is $$-$$2.48 $$\times$$ 102 kJ mol$$-$$1, the am

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A copper complex crystallising in a CCP lattice with a cell edge of 0.4518 nm has been revealed by employing X-ray diffr

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Number of electrons that Vanadium (Z = 23) has in p-orbitals is equal to _____________

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$${N_2}{O_{5(g)}} \to 2N{O_{2(g)}} + {1 \over 2}{O_{2(g)}}$$In the above first order reaction the initial concentration

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If the concentration of glucose (C6H12O6) in blood is 0.72 g L$$-$$1, the molarity of glucose in blood is ____________ $

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## Mathematics

Let L be the line of intersection of planes $$\overrightarrow r .(\widehat i - \widehat j + 2\widehat k) = 2$$ and $$\ov

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Let Sn denote the sum of first n-terms of an arithmetic progression. If S10 = 530, S5 = 140, then S20 $$-$$ S6 is equal

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Let f : R $$\to$$ R be defined as$$f(x) = \left\{ {\matrix{
{ - {4 \over 3}{x^3} + 2{x^2} + 3x,} & {x > 0} \c

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Let y = y(x) be the solution of the differential equation $$\cos e{c^2}xdy + 2dx = (1 + y\cos 2x)\cos e{c^2}xdx$$, with

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Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2 $$\times$$ 2 matrices. The pro

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Let a vector $${\overrightarrow a }$$ be coplanar with vectors $$\overrightarrow b = 2\widehat i + \widehat j + \wideha

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If $$\int\limits_0^{100\pi } {{{{{\sin }^2}x} \over {{e^{\left( {{x \over \pi } - \left[ {{x \over \pi }} \right]} \righ

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Let three vectors $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ be such that $$\overrightarr

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The values of $$\lambda$$ and $$\mu$$ such that the system of equations $$x + y + z = 6$$, $$3x + 5y + 5z = 26$$, $$x +

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If the shortest distance between the straight lines $$3(x - 1) = 6(y - 2) = 2(z - 1)$$ and $$4(x - 2) = 2(y - \lambda )

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Which of the following Boolean expressions is not a tautology?

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Let A = [aij] be a real matrix of order 3 $$\times$$ 3, such that ai1 + ai2 + ai3 = 1, for i = 1, 2, 3. Then, the sum of

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Let [x] denote the greatest integer less than or equal to x. Then, the values of x$$\in$$R satisfying the equation $${[{

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Let the circle S : 36x2 + 36y2 $$-$$ 108x + 120y + C = 0 be such that it neither intersects nor touches the co-ordinate

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Let n denote the number of solutions of the equation z2 + 3$$\overline z $$ = 0, where z is a complex number. Then the v

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The number of solutions of sin7x + cos7x = 1, x$$\in$$ [0, 4$$\pi$$] is equal to

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If the domain of the function $$f(x) = {{{{\cos }^{ - 1}}\sqrt {{x^2} - x + 1} } \over {\sqrt {{{\sin }^{ - 1}}\left( {{

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Let f : R $$\to$$ R be defined as $$f(x) = \left\{ {\matrix{
{{{{x^3}} \over {{{(1 - \cos 2x)}^2}}}{{\log }_e}\left(

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Let a line L : 2x + y = k, k > 0 be a tangent to the hyperbola x2 $$-$$ y2 = 3. If L is also a tangent to the parabol

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Let $${E_1}:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1,a > b$$. Let E2 be another ellipse such that it tou

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Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then the number of bijective functions f : A $$\to$$ A such that f(1) + f(2) = 3 $$-$$

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If the digits are not allowed to repeat in any number formed by using the digits 0, 2, 4, 6, 8, then the number of all n

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Let $$A = \left[ {\matrix{
0 & 1 & 0 \cr
1 & 0 & 0 \cr
0 & 0 & 1 \cr
} } \right

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Consider the following frequency distribution :
Class :
0 $$ - $$ 6
6 $$ - $$ 12
12 $$ - $$ 18
1

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The sum of all the elements in the set {n$$\in$$ {1, 2, ....., 100} | H.C.F. of n and 2040 is 1} is equal to ___________

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The area (in sq. units) of the region bounded by the curves x2 + 2y $$-$$ 1 = 0, y2 + 4x $$-$$ 4 = 0 and y2 $$-$$ 4x $$-

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Let f : R $$\to$$ R be a function defined as $$f(x) = \left\{ {\matrix{
{3\left( {1 - {{|x|} \over 2}} \right)} &

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If the constant term, in binomial expansion of $${\left( {2{x^r} + {1 \over {{x^2}}}} \right)^{10}}$$ is 180, then r is

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Let y = y(x) be the solution of the differential equation $$\left( {(x + 2){e^{\left( {{{y + 1} \over {x + 2}}} \right)}

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The number of elements in the set {n $$\in$$ {1, 2, 3, ......., 100} | (11)n > (10)n + (9)n} is ______________.

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## Physics

Choose the correct option

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What will be the projection of vector $$\overrightarrow A = \widehat i + \widehat j + \widehat k$$ on vector $$\overrig

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A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 is joined with a similar Aluminium (Al) rod as shown in

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In a circuit consisting of a capacitance and a generator with alternating emf Eg = Eg0 sin$$\omega$$t, VC and IC are the

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A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance of 80 cm with a consta

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Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without s

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Intensity of sunlight is observed as 0.092 Wm$$-$$2 at a point in free space. What will be the peak value of magnetic fi

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A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to infini

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An electric dipole is placed on x-axis in proximity to a line charge of linear charge density 3.0 $$\times$$ 10$$-$$6 C/

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A nucleus with mass number 184 initially at rest emits an $$\alpha$$-particle. If the Q value of the reaction is 5.5 MeV

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A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms$$-$$1, the i

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Statement I : The ferromagnetic property depends on temperature. At high temperature, ferromagnet becomes paramagnet.Sta

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Match List - I with List - II
List - I
List - II
(a)
$$\omega L > {1 \over {\om

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A ray of light passes from a denser medium to a rarer medium at an angle of incidence i. The reflected and refracted ray

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An electron of mass me and a proton of mass mp are accelerated through the same potential difference. The ratio of the d

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What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?

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T0 is the time period of a simple pendulum at a place. if the length of the pendulum is reduced to $${1 \over {16}}$$ ti

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What should be the height of transmitting antenna and the population covered if the television telecast is to cover a ra

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The motion of a mass on a spring, with spring constant K is as shown in figure.The equation of motion is given by x(t) =

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Consider a situation in which reserve biased current of a particular P-N junction increases when it is exposed to a ligh

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A ray of light passing through a prism ($$\mu$$ = $$\sqrt 3 $$) suffers minimum deviation. It is found that the angle of

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Three students S1, S2 and S3 perform an experiment for determining the acceleration due to gravity (g) using a simple pe

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Three particles P, Q and R are moving along the vectors $$\overrightarrow A = \widehat i + \widehat j$$, $$\overrightar

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In 5 minutes, a body cools from 75$$^\circ$$C to 65$$^\circ$$C at room temperature of 25$$^\circ$$C. The temperature of

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In a given circuit diagram, a 5 V zener diode along with a series resistance is connected across a 50 V power supply. Th

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The total charge enclosed in an incremental volume of 2 $$\times$$ 10$$-$$9 m3 located at the origin is ___________ nC,

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The position of the centre of mass of a uniform semi-circular wire of radius 'R' placed in x-y plane with its centre at

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In an electric circuit, a cell of certain emf provides a potential difference of 1.25 V across a load resistance of 5$$\

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The area of cross-section of a railway track is 0.01 m2. The temperature variation is 10$$^\circ$$C. Coefficient of line

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The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same l

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