JEE Main 2021 (Online) 27th July Morning Shift

Paper was held on
Tue, Jul 27, 2021 3:30 AM

## Chemistry

Which one of the following compounds will give orange precipitate when treated with 2, 4-dinitrophenyl hydrazine?

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The product obtained from the electrolytic oxidation of acidified sulphate solutions, is :

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The parameters of the unit cell of a substance are a = 2.5, b = 3.0, c = 4.0, $$\alpha$$ = 90$$^\circ$$, $$\beta$$ = 120

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The oxidation states of 'P' in H4P2O7, H4P2O5 and H4P2O6, respectively, are :

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For a reaction of order n, the unit of the rate constant is :

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Given below are two statements : Statement I : Aniline is less basic than acetamide.Statement II : In aniline, the lone

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The type of hybridisation and magnetic property of the complex [MnCl6]3$$-$$, respectively, are :

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The number of geometrical isomers found in the metal complexes [PtCl2(NH3)2], [Ni(CO)4], [Ru(H2O)3Cl3 and [CoCl2(NH3)4]+

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Which one of the following statements is NOT correct?

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Given below are two statements :Statement I : Rutherford's gold foil experiment cannot explain the line spectrum of hydr

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Presence of which reagent will affect the reversibility of the following reaction, and change it to a irreversible react

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Which one among the following chemical tests is used to distinguish monosaccharide from disaccharide?

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Match List - I with List - II :
List-I(Drug)
List-II(Class of Drug)
(a)
Furacin

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The statement is incorrect about Ellingham diagram is

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Consider the above reaction and identify the Product P :

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The compound 'A' is a complementary base of _______________ in DNA stands.

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Staggered and eclipsed conformers of ethane are :

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Match List - I with List - II :
List - I
List - II
(a)
NaOH
(i)
Acidic

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The correct order of stability of given carbocation is :

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

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The density of NaOH solution is 1.2 g cm$$-$$3. The molality of this solution is _____________ m. (Round off to the Near

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CO2 gas adsorbs on charcoal following Freundlich adsorption isotherm. For a given amount of charcoal, the mass of CO2 ad

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The conductivity of a weak acid HA of concentration 0.001 mol L$$-$$1 is 2.0 $$\times$$ 10$$-$$5 S cm$$-$$1. If $$\Lambd

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1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of 2.42 $$\times$$ 10$$-$$3 bar.

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An organic compound is subjected to chlorination to get compound A using 5.0 g of chlorine. When 0.5 g of compound A is

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The number of geometrical isomers possible in triamminetrinitrocobalt (III) is X and in trioxalatochromate (III) is Y. T

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In gaseous triethyl amine the "$$-$$C$$-$$N$$-$$C$$-$$" bond angle is _________ degree.

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For water at 100$$^\circ$$ C and 1 bar,$$\Delta$$vap H $$-$$ $$\Delta$$vap U = _____________ $$\times$$ 102 J mol$$-$$1.

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PCl5 $$\rightleftharpoons$$ PCl3 + Cl2Kc = 1.8443.0 moles of PCl5 is introduced in a 1 L closed reaction vessel at 380 K

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The difference between bond orders of CO and NO$$^ \oplus $$ is $${x \over 2}$$ where x = _____________. (Round off to t

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## Mathematics

If the mean and variance of the following data : 6, 10, 7, 13, a, 12, b, 12 are 9 and $${{37} \over 4}$$ respectively, t

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The value of $$\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{j = 1}^n {{{(2j - 1) + 8n} \over {(2j - 1)

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

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The value of the definite integral$$\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{dx} \over {(1 + {e^{x\cos x}})({

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Let C be the set of all complex numbers. Let$${S_1} = \{ z \in C||z - 3 - 2i{|^2} = 8\} $$$${S_2} = \{ z \in C|{\mathop{

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If the area of the bounded region $$R = \left\{ {(x,y):\max \{ 0,{{\log }_e}x\} \le y \le {2^x},{1 \over 2} \le x \le 2

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A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes through the point (5, 3). If this

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If the coefficients of x7 in $${\left( {{x^2} + {1 \over {bx}}} \right)^{11}}$$ and x$$-$$7 in $${\left( {{x} - {1 \over

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The compound statement $$(P \vee Q) \wedge ( \sim P) \Rightarrow Q$$ is equivalent to :

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If $$\sin \theta + \cos \theta = {1 \over 2}$$, then 16(sin(2$$\theta$$) + cos(4$$\theta$$) + sin(6$$\theta$$)) is equ

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Let $$A = \left[ {\matrix{
1 & 2 \cr
{ - 1} & 4 \cr
} } \right]$$. If A$$-$$1 = $$\alpha$$I + $$\bet

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Let $$f:\left( { - {\pi \over 4},{\pi \over 4}} \right) \to R$$ be defined as $$f(x) = \left\{ {\matrix{
{{{(1 + |\

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Let y = y(x) be solution of the differential equation $${\log _{}}\left( {{{dy} \over {dx}}} \right) = 3x + 4y$$, with y

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Let the plane passing through the point ($$-$$1, 0, $$-$$2) and perpendicular to each of the planes 2x + y $$-$$ z = 2 a

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Two tangents are drawn from the point P($$-$$1, 1) to the circle x2 + y2 $$-$$ 2x $$-$$ 6y + 6 = 0. If these tangents to

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Let f : R $$\to$$ R be a function such that f(2) = 4 and f'(2) = 1. Then, the value of $$\mathop {\lim }\limits_{x \to 2

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Let P and Q be two distinct points on a circle which has center at C(2, 3) and which passes through origin O. If OC is p

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Let $$\alpha$$, $$\beta$$ be two roots of the equation x2 + (20)1/4x + (5)1/2 = 0. Then $$\alpha$$8 + $$\beta$$8 is equa

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The probability that a randomly selected 2-digit number belongs to the set {n $$\in$$ N : (2n $$-$$ 2) is a multiple of

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Let $$A = \{ (x,y) \in R \times R|2{x^2} + 2{y^2} - 2x - 2y = 1\} $$, $$B = \{ (x,y) \in R \times R|4{x^2} + 4{y^2} - 16

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For real numbers $$\alpha$$ and $$\beta$$, consider the following system of linear equations :x + y $$-$$ z = 2, x + 2y

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

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If $${\log _3}2,{\log _3}({2^x} - 5),{\log _3}\left( {{2^x} - {7 \over 2}} \right)$$ are in an arithmetic progression, t

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Let the domain of the function$$f(x) = {\log _4}\left( {{{\log }_5}\left( {{{\log }_3}(18x - {x^2} - 77)} \right)} \righ

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Let $$f(x) = \left| {\matrix{
{{{\sin }^2}x} & { - 2 + {{\cos }^2}x} & {\cos 2x} \cr
{2 + {{\sin }^2}x}

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Let $$F:[3,5] \to R$$ be a twice differentiable function on (3, 5) such that $$F(x) = {e^{ - x}}\int\limits_3^x {(3{t^2}

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Let a plane P pass through the point (3, 7, $$-$$7) and contain the line, $${{x - 2} \over { - 3}} = {{y - 3} \over 2} =

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Let S = {1, 2, 3, 4, 5, 6, 7}. Then the number of possible functions f : S $$\to$$ S such that f(m . n) = f(m) . f(n) fo

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If $$y = y(x),y \in \left[ {0,{\pi \over 2}} \right)$$ is the solution of the differential equation $$\sec y{{dy} \over

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Let $$f:[0,3] \to R$$ be defined by $$f(x) = \min \{ x - [x],1 + [x] - x\} $$ where [x] is the greatest integer less tha

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## Physics

In the given figure, a battery of emf E is connected across a conductor PQ of length 'l' and different area of cross-sec

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The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 $$\t

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The relative permittivity of distilled water is 81. The velocity of light in it will be :(Given $$\mu$$r = 1)

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List-I
List-II
(a) MI of the rod (length L, Mass M, about an axis $$ \bot $$ to the rod passing

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Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are

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A capacitor of capacitance C = 1 $$\mu$$F is suddenly connected to a battery of 100 volt through a resistance R = 100 $$

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In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capa

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The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the r

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In Young's double slit experiment, if the source of light changes from orange to blue then :

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In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas. The temperature of the g

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Assertion A : If A, B, C, D are four points on a semi-circular are with centre at 'O' such that $$\left| {\overrightarro

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A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area 'a' is mad

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A particle starts executing simple harmonic motion (SHM) of amplitude 'a' and total energy E. At any instant, its kineti

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If 'f' denotes the ratio of the number of nuclei decayed (Nd) to the number of nuclei at t = 0 (N0) then for a collectio

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Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is removed and t

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A ball is thrown up with a certain velocity so that it reaches a height 'h'. Find the ratio of the two different times o

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A 0.07 H inductor and a 12$$\Omega$$ resistor are connected in series to a 220V, 50 Hz ac source. The approximate curren

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Two identical tennis balls each having mass 'm' and charge 'q' are suspended from a fixed point by threads of length 'l'

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Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gau

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A body takes 4 min. to cool from 61$$^\circ$$ C to 59$$^\circ$$ C. If the temperature of the surroundings is 30$$^\circ$

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Consider an electrical circuit containing a two way switch 'S'. Initially S is open and then T1 is connected to T2. As t

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Suppose two planets (spherical in shape) in radii R and 2R, but mass M and 9M respectively have a centre to centre separ

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In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 $$\mathop A\limits^o $$. If

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A radioactive sample has an average life of 30 ms and is decaying. A capacitor of capacitance 200 $$\mu$$F is first char

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A particle of mass 9.1 $$\times$$ 10$$-$$31 kg travels in a medium with a speed of 106 m/s and a photon of a radiation o

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A prism of refractive index n1 and another prism of refractive index n2 are stuck together (as shown in the figure). n1

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A stone of mass 20 g is projected from a rubber catapult of length 0.1 m and area of cross section 10$$-$$6 m2 stretched

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A transistor is connected in common emitter circuit configuration, the collector supply voltage is 10 V and the voltage

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The amplitude of upper and lower side bands of A.M. wave where a carrier signal with frequency 11.21 MHz, peak voltage 1

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In a uniform magnetic field, the magnetic needle has a magnetic moment 9.85 $$\times$$ 10$$-$$2 A/m2 and moment of inert

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