JEE Main 2021 (Online) 25th February Evening Shift

Paper was held on
Thu, Feb 25, 2021 9:30 AM

## Chemistry

The correct sequence of reagents used in the preparation of 4-bromo-2-nitroethyl benzene from benzene is :

View Question What is 'X' in the given reaction?

View Question The solubility of Ca(OH)2 in water is :[Given : The solubility product of Ca(OH)2 in water = 5.5 $$\times$$ 10$$-$$6]

View Question Which among the following species has unequal bond lengths?

View Question In which of the following order the given complex ions are arranged correctly with respect to their decreasing spin only

View Question The correct order of acid character of the following compounds is :

View Question The major product of the following reaction is :

View Question Correct statement about the given chemical reaction is :

View Question Given below are two statements :Statement I : The identification of Ni2+ is carried out by dimethyl glyoxime in the pres

View Question Carbylamine test is used to detect the presence of primary amino group in an organic compound. Which of the following co

View Question Which of the following is correct structure of $$\alpha$$-anomer of maltose?

View Question Which of the following compound is added to the sodium extract before addition of silver nitrate for testing of halogens

View Question The major product of the following reaction is :

View Question The correct order of bond dissociation enthalpy of halogens is :

View Question Copper reduces NO$$_3^ - $$ into NO and NO2 depending upon the concentration of HNO3 in solution. (Assuming fixed [Cu2+]

View Question The spin only magnetic moment of a divalent ion in aqueous solution (atomic number 29) is _________ BM.

View Question If a compound AB dissociates to the extent of 75% in an aqueous solution, the molality of the solution which shows a 2.5

View Question Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of metal A. The ionization enegy of

View Question Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the end point following burette readings were

View Question Five moles of an ideal gas at 293 K is expanded isothermally from an initial pressure of 2.1 MPa to 1.3 MPa against at c

View Question The number of compound/s given below which contain/s -COOH group is __________. (Integer answer)(A) Sulphanilic acid(B)

View Question The rate constant of a reaction increases by five times on increase in temperature from 27$$^\circ$$C to 52$$^\circ$$C.

View Question Among the following, number of metal/s which can be used as electrodes in the photoelectric cell is _________. (Integer

View Question ## Mathematics

The shortest distance between the line x $$-$$ y = 1 and the curve x2 = 2y is :

View Question A function f(x) is given by $$f(x) = {{{5^x}} \over {{5^x} + 5}}$$, then the sum of the series $$f\left( {{1 \over {20}}

View Question Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote

View Question The integral $$\int {{{{e^{3{{\log }_e}2x}} + 5{e^{2{{\log }_e}2x}}} \over {{e^{4{{\log }_e}x}} + 5{e^{3{{\log }_e}x}} -

View Question Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen

View Question Let $$\alpha$$ and $$\beta$$ be the roots of x2 $$-$$ 6x $$-$$ 2 = 0. If an = $$\alpha$$n $$-$$ $$\beta$$n for n $$ \ge

View Question If 0 < x, y < $$\pi$$ and cosx + cosy $$-$$ cos(x + y) = $${3 \over 2}$$, then sinx + cosy is equal to :

View Question cosec$$\left[ {2{{\cot }^{ - 1}}(5) + {{\cos }^{ - 1}}\left( {{4 \over 5}} \right)} \right]$$ is equal to :

View Question Let A be a 3 $$\times$$ 3 matrix with det(A) = 4. Let Ri denote the ith row of A. If a matrix B is obtained by performin

View Question If $$\alpha$$, $$\beta$$ $$\in$$ R are such that 1 $$-$$ 2i (here i2 = $$-$$1) is a root of z2 + $$\alpha$$z + $$\beta$$

View Question The minimum value of $$f(x) = {a^{{a^x}}} + {a^{1 - {a^x}}}$$, where a, $$x \in R$$ and a > 0, is equal to :

View Question If $${I_n} = \int\limits_{{\pi \over 4}}^{{\pi \over 2}} {{{\cot }^n}x\,dx} $$, then :

View Question In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are n

View Question If for the matrix, $$A = \left[ {\matrix{
1 & { - \alpha } \cr
\alpha & \beta \cr
} } \right]$$, $

View Question If the curve x2 + 2y2 = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segm

View Question The following system of linear equations2x + 3y + 2z = 93x + 2y + 2z = 9x $$-$$ y + 4z = 8

View Question A hyperbola passes through the foci of the ellipse $${{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1$$ and its transvers

View Question If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)2022 is divided by 8 is __________.

View Question The total number of two digit numbers 'n', such that 3n + 7n is a multiple of 10, is __________.

View Question The value of $$\int\limits_{ - 2}^2 {|3{x^2} - 3x - 6|dx} $$ is ___________.

View Question A line 'l' passing through origin is perpendicular to the lines$${l_1}:\overrightarrow r = (3 + t)\widehat i + ( - 1 +

View Question A function f is defined on [$$-$$3, 3] as$$f(x) = \left\{ {\matrix{
{\min \{ |x|,2 - {x^2}\} ,} & { - 2 \le x \le

View Question Let $$\overrightarrow a = \widehat i + \alpha \widehat j + 3\widehat k$$ and $$\overrightarrow b = 3\widehat i - \alph

View Question If $$\mathop {\lim }\limits_{x \to 0} {{ax - ({e^{4x}} - 1)} \over {ax({e^{4x}} - 1)}}$$ exists and is equal to b, then

View Question If the curve, y = y(x) represented by the solution of the differential equation (2xy2 $$-$$ y)dx + xdy = 0, passes throu

View Question ## Physics

An LCR circuit contains resistance of 110$$\Omega$$ and a supply of 220 V at 300 rad/s angular frequency. If only capaci

View Question An electron with kinetic energy K1 enters between parallel plates of a capacitor at an angle '$$\alpha$$' with the plate

View Question A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant speed v0. It encounters an inclined pla

View Question An electron of mass me and a proton of mass mp = 1836 me are moving with the same speed. The ratio of their de Broglie w

View Question Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1 $$\mu$$m. If the diame

View Question In a ferromagnetic material, below the curie temperature, a domain is defined as :

View Question Given below are two statements :Statement I : In a diatomic molecule, the rotational energy at a given temperature obeys

View Question Match List I with List II.
List I
List II
(a)
Rectifier
(i)
Used either fo

View Question A charge 'q' is placed at one corner of a cube as shown in figure. The flux of electrostatic field $$\overrightarrow E $

View Question Thermodynamic process is shown below on a P-V diagram for one mole of an ideal gas. If V2 = 2V1 then the ratio of temper

View Question The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n = 2 to n = 1 state is

View Question Y = A sin($$\omega$$t + $$\phi$$0) is the time-displacement equation of a SHM. At t = 0 the displacement of the particle

View Question Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see figure). When

View Question The point A moves with a uniform speed along the circumference of a circle of radius 0.36 m and covers 30$$^\circ$$ in 0

View Question If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity $${1 \over

View Question For extrinsic semiconductors; when doping level is increased;

View Question The truth table for the following logic circuit is :

View Question A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall f

View Question The stopping potential for electrons emitted from a photosensitive surface illuminated by light of wavelength 491 nm is

View Question If $$\overrightarrow P \times \overrightarrow Q = \overrightarrow Q \times \overrightarrow P $$, the angle between $$

View Question The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4

View Question The initial velocity vi required to project a body vertically upward from the surface of the earth to reach a height of

View Question The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is $${x \over {10}}\sqrt

View Question Two identical conducting spheres with negligible volume have 2.1 nC and $$-$$0.1 nC charges, respectively. They are brou

View Question The wavelength of an X-ray beam is 10$$\mathop A\limits^o $$. The mass of a fictitious particle having the same energy a

View Question Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are equally charged and repe

View Question Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the magnitude

View Question A current of 6A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2$$\Omega$$ each and lea

View Question