JEE Main 2021 (Online) 18th March Evening Shift

Paper was held on
Thu, Mar 18, 2021 9:30 AM

## Chemistry

Given below are two statements :Statement I : Non-biodegradable wastes are generated by the thermal power plants.Stateme

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Deficiency of vitamin K causes :

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In the following molecule,Hybridisation of Carbon a, b, and c respectively are :

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Consider the given reaction, percentage yield of :

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The charges on the colloidal CdS sol and TiO2 sol are, respectively :

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Given below are two statements :Statement I : C2H5OH and AgCN both can generate nucleophile.Statement II : KCN and AgCN

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A hard substance melts at high temperature and is an insulator in both solid and in molten state. This solid is most lik

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The oxide that shows magnetic property is :

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Match List - I with List - II :
List - I
List - II
(a)
Be
(i)
treatment of

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In basic medium, H2O2 exhibits which of the following reactions?(A) Mn2+ $$ \to $$ Mn4+(B) I2 $$ \to $$ I$$-$$(C) PbS $$

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In the reaction of hypobromite with amide, the carbonyl carbon is lost as :

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The secondary valency and the number of hydrogen bonded water molecule(s) in CuSO4 . 5H2O, respectively, are :

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The first ionization energy of magnesium is smaller as compared to that of elements X and Y, but higher than that of Z.

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Match List - I with List - II :
List - I
List - II
(a)
Mercury
(i)
Vapour

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Given below are two statements :Statement I : Bohr's theory accounts for the stability and line spectrum of Li+ ion.Stat

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The oxidation states of nitrogen in NO, NO2, N2O and NO$$_3^ - $$ are in the order of :

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An organic compound "A" on treatment with benzene sulphonyl chloride gives compound B. B is soluble in dil. NaOH solutio

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Main products formed during a reaction of 1-methoxy naphthalene with hydroiodic acid are :

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Consider the above reaction, the product 'X' and 'Y' respectively are :

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Match List - I with List - II :
List - I(Class of Chemicals)
List - II(Example)
(a)

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In Tollen's test for aldehyde, the overall number of electron(s) transferred to the Tollen's reagent formula [Ag(NH3)2]+

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10.0 mL of Na2CO3 solution is titrated against 0.2 M HCl solution. The following titre values were obtained in 5 reading

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A xenon compound 'A' upon partial hydrolysis gives XeO2F2. The number of lone pair of electrons present in compound A is

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The number of species below that have two lone pairs of electrons in their central atom is _________. (Round off to the

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Consider the above reaction where 6.1 g of Benzoic acid is used to get 7.8 g of m-bromo benzoic acid. The percentage yie

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The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are 280, 860 and

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The gas phase reaction $$2A(g) \rightleftharpoons {A_2}(g)$$ at 400 K has $$\Delta$$Go = + 25.2 kJ mol-1.The equilibrium

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A reaction has a half life of 1 min. The time required for 99.9% completion of the reaction is _________ min. (Round off

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The solubility of CdSO4 in water is 8.0 $$\times$$ 10$$-$$4 mol L$$-$$1. Its solubility in 0.01 M H2SO4 solution is ____

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A solute A dimerizes in water. The boiling point of a 2 molal solution of A is 100.52$$^\circ$$C. The percentage associa

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## Mathematics

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

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Let the system of linear equations 4x + $$\lambda$$y + 2z = 02x $$-$$ y + z = 0$$\mu$$x + 2y + 3z = 0, $$\lambda$$, $$\m

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The area bounded by the curve 4y2 = x2(4 $$-$$ x)(x $$-$$ 2) is equal to :

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If 15sin4$$\alpha$$ + 10cos4$$\alpha$$ = 6, for some $$\alpha$$$$\in$$R, then the value of 27sec6$$\alpha$$ + 8cosec6$$\

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Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two non-zero vectors perpendicular to each other and $$|\overri

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A pole stands vertically inside a triangular park ABC. Let the angle of elevation of the top of the pole from each corne

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Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 successes be 0.4096

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Let a complex number be w = 1 $$-$$ $${\sqrt 3 }$$i. Let another complex number z be such that |zw| = 1 and arg(z) $$-$$

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Let f : R $$ \to $$ R be a function defined as$$f(x) = \left\{ \matrix{
{{\sin (a + 1)x + \sin 2x} \over {2x}},if\,x &

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Let S1 : x2 + y2 = 9 and S2 : (x $$-$$ 2)2 + y2 = 1. Then the locus of center of a variable circle S which touches S1 in

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Let g(x) = $$\int_0^x {f(t)dt} $$, where f is continuous function in [ 0, 3 ] such that $${1 \over 3}$$ $$ \le $$ f(t) $

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Let in a series of 2n observations, half of them are equal to a and remaining half are equal to $$-$$a. Also by adding a

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In a triangle ABC, if $$|\overrightarrow {BC} | = 8,|\overrightarrow {CA} | = 7,|\overrightarrow {AB} | = 10$$, then the

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Define a relation R over a class of n $$\times$$ n real matrices A and B as "ARB iff there exists a non-singular matrix

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Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be al

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Consider a hyperbola H : x2 $$-$$ 2y2 = 4. Let the tangent at a point P(4, $${\sqrt 6 }$$) meet the x-axis at Q and latu

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Let f : R $$-$$ {3} $$ \to $$ R $$-$$ {1} be defined by f(x) = $${{x - 2} \over {x - 3}}$$.Let g : R $$ \to $$ R be give

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Let S1 be the sum of first 2n terms of an arithmetic progression. Let S2 be the sum of first 4n terms of the same arithm

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If P and Q are two statements, then which of the following compound statement is a tautology?

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Let a tangent be drawn to the ellipse $${{{x^2}} \over {27}} + {y^2} = 1$$ at $$(3\sqrt 3 \cos \theta ,\sin \theta )$$ w

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If $$\sum\limits_{r = 1}^{10} {r!({r^3} + 6{r^2} + 2r + 5) = \alpha (11!)} $$, then the value of $$\alpha$$ is equal to

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Let the mirror image of the point (1, 3, a) with respect to the plane $$\overrightarrow r .\left( {2\widehat i - \wideha

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If f(x) and g(x) are two polynomials such that the polynomial P(x) = f(x3) + x g(x3) is divisible by x2 + x + 1, then P(

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The term independent of x in the expansion of $${\left[ {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x

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Let P be a plane containing the line $${{x - 1} \over 3} = {{y + 6} \over 4} = {{z + 5} \over 2}$$ and parallel to the l

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Let y = y(x) be the solution of the differential equation xdy $$-$$ ydx = $$\sqrt {({x^2} - {y^2})} dx$$, x $$ \ge $$ 1,

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Let I be an identity matrix of order 2 $$\times$$ 2 and P = $$\left[ {\matrix{
2 & { - 1} \cr
5 & { - 3}

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Let f : R $$ \to $$ R satisfy the equation f(x + y) = f(x) . f(y) for all x, y $$\in$$R and f(x) $$\ne$$ 0 for any x$$\i

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Let $${}^n{C_r}$$ denote the binomial coefficient of xr in the expansion of (1 + x)n.
If $$\sum\limits_{k = 0}^{10} {(

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Let P(x) be a real polynomial of degree 3 which vanishes at x = $$-$$3. Let P(x) have local minima at x = 1, local maxim

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## Physics

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field $$\left( {\over

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If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of

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An object of mass m1 collides with another object of mass m2, which is at rest. After the collision the objects move wit

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The correct relation between $$\alpha$$ (ratio of collector current to emitter current) and $$\beta$$ (ratio of collecto

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In a series LCR circuit, the inductive reactance (XL) is 10$$\Omega$$ and the capacitive reactance (XC) is 4$$\Omega$$.

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A particle of mass m moves in a circular orbit under the central potential field, $$U(r) = - {C \over r}$$, where C is

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The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is $${\overrightarrow L }$$. The

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Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a right angled prism PQR as s

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Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpend

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The velocity $$-$$ displacement graph of a particle is shown in the figure.The acceleration $$-$$ displacement graph of

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The speed of electrons in a scanning electron microscope is 1 $$\times$$ 107 ms-1. If the protons having the same speed

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The decay of a proton to neutron is :

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Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the av

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The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L

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A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as show

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The function of time representing a simple harmonic motion with a period of $${\pi \over \omega }$$ is :

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For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $$\gamma$$ is the r

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A proton and an $$\alpha$$-particle, having kinetic energies Kp and K$$\alpha$$ respectively, enter into a magnetic fiel

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An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1 and that of the oth

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Which of the following statements are correct?(A) Electric monopoles do not exist whereas magnetic monopoles exist.(B) M

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Two wires of same length and thickness having specific resistances 6$$\Omega$$ cm and 3$$\Omega$$ cm respectively are co

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Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm fr

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A galaxy is moving away from the earth at a speed of 286 kms$$-$$1. The shift in the wavelength of a redline at 630 nm i

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A TV transmission tower antenna is at a height of 20 m. Suppose that the receiving antenna is at.(i) ground level(ii) a

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A ball of mass 4 kg, moving with a velocity of 10 ms$$-$$1, collides with a spring of length 8 m and force constant 100

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Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The tank has an opening B near the bo

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The radius of a sphere is measured to be (7.50 $$\pm$$ 0.85) cm. Suppose the percentage error in its volume is x. The va

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The typical output characteristics curve for a transistor working in the common-emitter configuration is shown in the fi

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The projectile motion of a particle of mass 5 g is shown in the figure.The initial velocity of the particle is $$5\sqrt

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An infinite number of point charges, each carrying 1 $$\mu$$C charge, are placed along the y-axis at y = 1 m, 2 m, 4 m,

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