JEE Main 2021 (Online) 25th February Morning Shift

Paper was held on
Thu, Feb 25, 2021 3:30 AM

## Chemistry

The solubility of AgCN in a buffer solution of pH = 3 is x. The value of x is : [Assume : No cyano complex is formed; Ks

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Which one of the following reactions will not form acetaldehyde?

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The plots of radial distribution functions for various orbitals of hydrogen atom against 'r' are given below :
The corre

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Identify A in the given chemical reaction.

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Which of the following equation depicts the oxidizing nature of H2O2?

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Given below are two statements :Statement I : CeO2 can be used for oxidation of aldehydes and ketones.Statement II : Aqu

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Given below are two statements :Statement I : An allotrope of oxygen is an important intermediate in the formation of re

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Compound(s) which will liberate carbon dioxide with sodium bicarbonate solution is/are :

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Identify A and B in the chemical reaction.

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Which of the glycosidic linkage between galactose and glucose is present in lactose?

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According to molecular orbital theory, the species among the following that does not exist is :

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Complete combustion of 1.80 g of an oxygen containing compound (CxHyOz) gave 2.64 g of CO2 and 1.08 g of H2O. The percen

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The correct statement about B2H6 is :

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The hybridization and magnetic nature of $${[Mn{(CN)_6}]^{4 - }}$$ and $${[Fe{(CN)_6}]^{3 - }}$$, respectively are :

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The major product of the following chemical reaction is :

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In Freundlich adsorption isotherm at moderate pressure, the extent of adsorption $$\left( {{x \over m}} \right)$$ is dir

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In which of the following pairs, the outer most electronic configuration will be the same?

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Ellingham diagram is a graphical representation of :

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Which of the following reaction/s will not give p-aminoazobenzene?

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Which statement is correct?

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Using the provided information in the following paper chromatogram :Fig : Paper chromatography for compounds A and B.the

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The reaction of cyanamide, NH2CN(s) with oxygen was run in a bomb calorimeter and $$\Delta$$U was found to be $$-$$742.2

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The ionization enthalpy of Na+ formation from Na(g) is 495.8 kJ mol$$-$$1, while the electron gain enthalpy of Br is $$-

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0.4 g mixture of NaOH, Na2CO3 and some inert impurities was first titrated with $${N \over {10}}$$ HCl using phenolphtha

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In basic medium $$Cr{O_4}^{2 - }$$ oxidises $${S_2}{O_3}^{2 - }$$ to form $$S{O_4}^{2 - }$$ and itself changes into $$Cr

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Consider the following chemical reaction.
The number of sp2 hybridized carbon atom(s) present in the product is ________

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A car tyre is filled with nitrogen gas at 35 psi at 27$$^\circ$$C. It will burst if pressure exceeds 40 psi. The tempera

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1 molal aqueous solution of an electrolyte A2B3 is 60% ionised. The boiling point of the solution at 1 atm is _________

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Among the following, the number of halide(s) which is/are inert to hydrolysis is _________.(A) BF3(B) SiCl4(C) PCl5(D) S

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For the reaction, aA + bB $$ \to $$ cC + dD, the plot of log k vs $${1 \over T}$$ is given below :The temperature at whi

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## Mathematics

When a missile is fired from a ship, the probability that it is intercepted is $${1 \over 3}$$ and the probability that

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The equation of the line through the point (0, 1, 2) and perpendicular to the line $${{x - 1} \over 2} = {{y + 1} \over

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All possible values of $$\theta$$ $$\in$$ [0, 2$$\pi$$] for which sin 2$$\theta$$ + tan 2$$\theta$$ > 0 lie in :

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The value of $$\int\limits_{ - 1}^1 {{x^2}{e^{[{x^3}]}}} dx$$, where [ t ] denotes the greatest integer $$ \le $$ t, is

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If $$0 < \theta ,\phi < {\pi \over 2},x = \sum\limits_{n = 0}^\infty {{{\cos }^{2n}}\theta } ,y = \sum\limits_{

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The statement A $$ \to $$ (B $$ \to $$ A) is equivalent to :

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The integer 'k', for which the inequality x2 $$-$$ 2(3k $$-$$ 1)x + 8k2 $$-$$ 7 > 0 is valid for every x in R, is :

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A tangent is drawn to the parabola y2 = 6x which is perpendicular to the line 2x + y = 1. Which of the following points

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The total number of positive integral solutions (x, y, z) such that xyz = 24 is :

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A man is observing, from the top of a tower, a boat speeding towards the lower from a certain point A, with uniform spee

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If the curves, $${{{x^2}} \over a} + {{{y^2}} \over b} = 1$$ and $${{{x^2}} \over c} + {{{y^2}} \over d} = 1$$ intersect

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If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is $${{{x^2} - 4x + y + 8} \

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Let f, g : N $$ \to $$ N such that f(n + 1) = f(n) + f(1) $$\forall $$ n$$\in$$N and g be any arbitrary function. Which

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If Rolle's theorem holds for the function $$f(x) = {x^3} - a{x^2} + bx - 4$$, $$x \in [1,2]$$ with $$f'\left( {{4 \over

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Let the lines (2 $$-$$ i)z = (2 + i)$$\overline z $$ and (2 $$+$$ i)z + (i $$-$$ 2)$$\overline z $$ $$-$$ 4i = 0, (here

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$$\mathop {\lim }\limits_{n \to \infty } {\left( {1 + {{1 + {1 \over 2} + ........ + {1 \over n}} \over {{n^2}}}} \right

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Let $$\alpha$$ be the angle between the lines whose direction cosines satisfy the equations l + m $$-$$ n = 0 and l2 + m

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The value of the integral $$\int {{{\sin \theta .\sin 2\theta ({{\sin }^6}\theta + {{\sin }^4}\theta + {{\sin }^2}\the

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The coefficients a, b and c of the quadratic equation, ax2 + bx + c = 0 are obtained by throwing a dice three times. The

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The image of the point (3, 5) in the line x $$-$$ y + 1 = 0, lies on :

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The locus of the point of intersection of the lines $$\left( {\sqrt 3 } \right)kx + ky - 4\sqrt 3 = 0$$ and $$\sqrt 3 x

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The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points o

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The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetit

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If $$A = \left[ {\matrix{
0 & { - \tan \left( {{\theta \over 2}} \right)} \cr
{\tan \left( {{\theta \over

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Let $$A = \left[ {\matrix{
x & y & z \cr
y & z & x \cr
z & x & y \cr
} } \right

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Let A1, A2, A3, ....... be squares such that for each n $$ \ge $$ 1, the length of the side of An equals the length of d

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If the system of equationskx + y + 2z = 13x $$-$$ y $$-$$ 2z = 2$$-$$2x $$-$$2y $$-$$4z = 3has infinitely many solutions

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The number of points, at which the function f(x) = | 2x + 1 | $$-$$ 3| x + 2 | + | x2 + x $$-$$ 2 |, x$$\in$$R is not di

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Let $$\overrightarrow a = \widehat i + 2\widehat j - \widehat k$$, $$\overrightarrow b = \widehat i - \widehat j$$ and

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Let f(x) be a polynomial of degree 6 in x, in which the coefficient of x6 is unity and it has extrema at x = $$-$$1 and

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## Physics

A proton, a deuteron and an $$\alpha$$ particle are moving with same momentum in a uniform magnetic field. The ratio of

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A solid sphere of radius R gravitationally attracts a particle placed at 3R from its centre with a force F1. Now a spher

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An $$\alpha$$ particle and a proton are accelerated from rest by a potential difference of 200V. After this, their de Br

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The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the

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Magnetic fields at two points on the axis of a circular coil at a distance of 0.05 m and 0.2 m from the centre are in th

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Match List - I with List - II :
List I
List II
(a)
h (Planck's constant)
(i)

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Two radioactive substances X and Y originally have N1 and N2 nuclei respectively. Half life of X is half of the half lif

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Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth at height of 600 km and 1600 km respect

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Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio $${{{I_{\max }} -

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An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : When

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Given below are two statements :Statement I : A speech signal of 2 kHz is used to modulate a carrier signal of 1 MHz. Th

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The pitch of the screw gauge is 1 mm and there are 100 divisions on the circular scale. When nothing is put in between t

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If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the place where pendulu

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A diatomic gas, having $${C_p} = {7 \over 2}R$$ and $${C_v} = {5 \over 2}R$$, is heated at constant pressure. The ratio

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A 5V battery is connected across the points X and Y. Assume D1 and D2 to be normal silicon diodes. Find the current supp

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A student is performing the experiment of resonance column. The diameter of the column tube is 6 cm. The frequency of th

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In an octagon ABCDEFGH of equal side, what is the sum of $$\overrightarrow {AB} + \overrightarrow {AC} + \overrightarr

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The current (i) at time t = 0 and t = $$\infty $$ respectively for the given circuit is :

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

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A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minim

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A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m/s. If container

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The same size images are formed by a convex lens when the object is placed at 20 cm or at 10 cm from the lens. The focal

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A coil of inductance 2 H having negligible resistance is connected to a source of supply whose voltage is given by V = 3

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The potential energy (U) of a diatomic molecule is a function dependent on r (interatomic distance) as $$U = {\alpha \o

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The electric field in a region is given by $$\overrightarrow E = \left( {{3 \over 5}{E_0}\widehat i + {4 \over 5}{E_0}\

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In the given circuit of potentiometer, the potential difference E across AB (10 m length) is larger than E1 and E2 as we

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In a certain thermodynamical process, the pressure of a gas depends on its volume as kV3. The work done when the tempera

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512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The po

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A transmitting station releases waves of wavelength 960 m. A capacitor of 2.56 $$\mu$$F is used in the resonant circuit.

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