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?

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

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

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

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

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

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

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

View Question
Which one of the following statements is NOT correct?

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

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

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

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

View Question
The statement is incorrect about Ellingham diagram is

View Question
Consider the above reaction and identify the Product P :

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

View Question
Staggered and eclipsed conformers of ethane are :

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

View Question
The correct order of stability of given carbocation is :

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

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

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

View Question
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

View Question
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.

View Question
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

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

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

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

View Question
PCl5 $$\rightleftharpoons$$ PCl3 + Cl3Kc = 1.8443.0 moles of PCl5 is introduced in a 1 L closed reaction vessel at 380 K

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

View Question
## 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

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

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

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

View Question
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{

View Question
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

View Question
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

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

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

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

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

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

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

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

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

View Question
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

View Question
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

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

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

View Question
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

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

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

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

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

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

View Question
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}

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

View Question
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

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

View Question
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

View Question
## 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

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

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

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

View Question
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

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

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

View Question
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

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

View Question
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

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

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

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

View Question
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

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

View Question
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

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

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

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

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

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

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

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

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

View Question
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

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

View Question
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

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

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

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

View Question