JEE Main 2021 (Online) 16th March Evening Shift

Paper was held on
Tue, Mar 16, 2021 9:30 AM

## Chemistry

Match List - I with List - II :
List - I Test/Reagents/Observation(s)
List - II Species detected

View Question The structure of X is :

View Question An unsaturated hydrocarbon X on ozonolysis gives A. Compound A when warmed with ammonical silver nitrate forms a bright

View Question The exact volumes of 1 M NaOH solution required to neutralise 50 mL of 1 M H3PO3 solution and 100 mL of 2 M H3PO2 soluti

View Question The characteristics of elements X, Y and Z with atomic numbers, respectively, 33, 53 and 83 are :

View Question Which of the following is least basic?

View Question Ammonolysis of Alkyl halides followed by the treatment with NaOH solution can be used to prepare primary, secondary and

View Question The secondary structure of protein is stabilised by:

View Question Fex2 and Fey3 are known when x and y are :

View Question Identify the elements X and Y using the ionisation energy values given below :
Ionization energy (kJ/mol)

View Question In the above reaction, the reagent ''A'' is :

View Question Arrange the following metal complex/compounds in the increasing order of spin only magnetic moment. Presume all the thre

View Question Identify the reagent(s) 'A' and condition(s) for the reaction

View Question Statement I : Sodium hydride can be used as an oxidising agent.Statement II : The lone pair of electrons on nitrogen in

View Question [Ti(H2O)6]3+ absorbs light of wavelength 498 nm during a d $$-$$ d transition. The octahedral splitting energy for the a

View Question A 5.0 m mol dm$$-$$3 aqueous solution of KCl has a conductance of 0.55 mS when measured in a cell of cell constant 1.3 c

View Question At 25$$^\circ$$C, 50 g of iron reacts with HCl to form FeCl2. The evolved hydrogen gas expands against a constant pressu

View Question The number of orbitals with n = 5, m1 = +2 is ___________. (Round off to the Nearest Integer).

View Question A and B decompose via first order kinetics with half-lives 54.0 min and 18.0 min respectively. Starting from an equimola

View Question In Duma's method of estimation of nitrogen, 0.1840 g of an organic compound gave 30 mL of nitrogen collected at 287 K an

View Question When 35 mL of 0.15 M lead nitrate solution is mixed with 20 mL of 0.12 M chromic sulphate solution, _________ $$\times$$

View Question Sulphurous acid (H2SO3) has Ka1 = 1.7 $$\times$$ 10$$-$$2 and Ka2 = 6.4 $$\times$$ 10$$-$$8. The pH of 0.588 M H2SO3 is

View Question At 363 K, the vapour pressure of A is 21 kPa and that of B is 18 kPa. One mole of A and 2 moles of B are mixed. Assuming

View Question ## Mathematics

If y = y(x) is the solution of the differential equation $${{dy} \over {dx}}$$ + (tan x) y = sin x, $$0 \le x \le {\pi

View Question Let f be a real valued function, defined on R $$-$$ {$$-$$1, 1} and given by f(x) = 3 loge $$\left| {{{x - 1} \over {x +

View Question Let $$\overrightarrow a $$ = $$\widehat i$$ + 2$$\widehat j$$ $$-$$ 3$$\widehat k$$ and $$\overrightarrow b = 2\widehat

View Question If the foot of the perpendicular from point (4, 3, 8) on the line $${L_1}:{{x - a} \over l} = {{y - 2} \over 3} = {{z -

View Question Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA respectively. Let

View Question Let f : S $$ \to $$ S where S = (0, $$\infty $$) be a twice differentiable function such that f(x + 1) = xf(x). If g : S

View Question Consider the integral $$I = \int_0^{10} {{{[x]{e^{[x]}}} \over {{e^{x - 1}}}}dx} $$, where [x] denotes the greatest inte

View Question Let C1 be the curve obtained by the solution of differential equation $$2xy{{dy} \over {dx}} = {y^2} - {x^2},x > 0$$.

View Question Let P(x) = x2 + bx + c be a quadratic polynomial with real coefficients such that $$\int_0^1 {P(x)dx} $$ = 1 and P(x) le

View Question Let A = {2, 3, 4, 5, ....., 30} and '$$ \simeq $$' be an equivalence relation on A $$\times$$ A, defined by (a, b) $$ \s

View Question The least value of |z| where z is complex number which satisfies the inequality $$\exp \left( {{{(|z| + 3)(|z| - 1)} \ov

View Question Let $$\alpha$$ $$\in$$ R be such that the function $$f(x) = \left\{ {\matrix{
{{{{{\cos }^{ - 1}}(1 - {{\{ x\} }^2}){

View Question Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which sa

View Question Let the lengths of intercepts on x-axis and y-axis made by the circle x2 + y2 + ax + 2ay + c = 0, (a < 0) be 2$${\sqr

View Question Let A($$-$$1, 1), B(3, 4) and C(2, 0) be given three points. A line y = mx, m > 0, intersects lines AC and BC at poin

View Question Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 without repetitions, be divisible by 3. Then

View Question The maximum value of $$f(x) = \left| {\matrix{
{{{\sin }^2}x} & {1 + {{\cos }^2}x} & {\cos 2x} \cr
{1 +

View Question Let $${1 \over {16}}$$, a and b be in G.P. and $${1 \over a}$$, $${1 \over b}$$, 6 be in A.P., where a, b > 0. Then 7

View Question For real numbers $$\alpha$$, $$\beta$$, $$\gamma$$ and $$\delta $$, if $$\int {{{({x^2} - 1) + {{\tan }^{ - 1}}\left( {{

View Question Let f : R $$ \to $$ R and g : R $$ \to $$ R be defined as $$f(x) = \left\{ {\matrix{
{x + a,} & {x < 0} \cr

View Question Consider the statistics of two sets of observations as follows :
Size
Mean
Variance
Obs

View Question Let $$A = \left[ {\matrix{
{{a_1}} \cr
{{a_2}} \cr
} } \right]$$ and $$B = \left[ {\matrix{
{{b_1}} \cr

View Question ## Physics

What will be the nature of flow of water from a circular tap, when its flow rate increased from 0.18 L/min to 0.48 L/min

View Question The refractive index of a converging lens is 1.4. What will be the focal length of this lens if it is placed in a medium

View Question The following logic gate is equivalent to :

View Question Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh$$-$$1 and takes a sharp circular turn along

View Question A large block of wood of mass M = 5.99 kg is hanging from two long massless cords. A bullet of mass m = 10 g is fired in

View Question A mosquito is moving with a velocity $$\overrightarrow v = 0.5{t^2}\widehat i + 3t\widehat j + 9\widehat k$$ m/s and ac

View Question Red light differs from blue light as they have :

View Question The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same pot

View Question Calculate the value of mean free path ($$\lambda$$) for oxygen molecules at temperature 27$$^\circ$$C and pressure 1.01

View Question A charge Q is moving $$\overrightarrow {dl} $$ distance in the magnetic field $$\overrightarrow {B} $$. Find the value o

View Question In order to determine the Young's Modulus of a wire of radius 0.2 cm (measured using a scale of least count = 0.001 cm)

View Question A resistor develops 500 J of thermal energy in 20 s when a current of 1.5A is passed through it. If the current is incre

View Question Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line

View Question The magnetic field in a region is given by $$\overrightarrow B = {B_o}\left( {{x \over a}} \right)\widehat k$$. A squar

View Question A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. The metal A has higher coefficient of exp

View Question For the given circuit, comment on the type of transformer used.

View Question A solid disc of radius 'a' and mass 'm' rolls down without slipping on an inclined plane making an angle $$\theta$$ with

View Question The energy dissipated by a resistor is 10 mJ in 1 s when an electric current of 2 mA flows through it. The resistance is

View Question In a parallel plate capacitor set up, the plate area of capacitor is 2 m2 and the plates are separated by 1 m. If the sp

View Question If one wants to remove all the mass of the earth to infinity in order to break it up completely.The amount of energy tha

View Question A body of mass 2 kg moves under a force of $$\left( {2\widehat i + 3\widehat j + 5\widehat k} \right)$$N. It starts from

View Question A closed organ pipe of length L and an open organ pipe contain gases of densities $$\rho$$1 and $$\rho$$2 respectively.

View Question A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a river has velocity 6 km/h. The direction

View Question A deviation of 2$$^\circ$$ is produced in the yellow ray when prism of crown and flint glass are achromatically combined

View Question A force $$\overrightarrow F $$ = $${4\widehat i + 3\widehat j + 4\widehat k}$$ is applied on an intersection point of x

View Question