JEE Main 2021 (Online) 27th August Evening Shift

Paper was held on
Fri, Aug 27, 2021 9:30 AM

## Chemistry

Choose the correct statement from the following :

View Question
The addition of dilute NaOH to Cr3+ salt solution will give :

View Question
Given below are two statements :Statement I : Ethyl pent-4-yn-oate on reaction with CH3MgBr gives a 3$$^\circ$$-alcohol.

View Question
In stratosphere most of the ozone formation is assisted by :

View Question
The compound/s which will show significant intermolecular H-bonding is/are :

View Question
Which one of the following chemicals is responsible for the production of HCl in the stomach leading to irritation and p

View Question
The oxide that gives H2O2 most readily on treatment with H2O is :

View Question
Which one of the following reactions will not yield propionic acid?

View Question
The correct order of ionic radii for the ions, P3$$-$$, S2$$-$$, Ca2+, K+, Cl$$-$$ is :

View Question
Which one of the following is the major product of the given reaction?

View Question
The major product (A) formed in the reaction given below is :

View Question
Which one of the following is used to remove most of plutonium from spent nuclear fuel?

View Question
Lyophilic sols are more stable than lyophobic sols because :

View Question
The major product of the following reaction, if it occurs by SN2 mechanism is :

View Question
Potassium permanganate on heating at 513 K gives a product which is :

View Question
Which one of the following tests used for the identification of functional groups in organic compounds does not use copp

View Question
Hydrolysis of sucrose gives :

View Question
Match List-I with List-II :
List - I(Name of ore/mineral)
List - II(Chemical formula)

View Question
Which one of the following is formed (mainly) when red phosphorus is heated in a sealed tube at 803 K?

View Question
The correct structures of A and B formed in the following reactions are :

View Question
The first order rate constant for the decomposition of CaCO3 at 700 K is 6.36 $$\times$$ 10$$-$$3s$$-$$1 and activation

View Question
The number of optical isomers possible for [Cr(C2O4)3]3$$-$$ is ____________.

View Question
Two flasks I and II shown below are connected by a valve of negligible volume.When the valve is opened, the final pressu

View Question
100 g of propane is completely reacted with 1000 g of oxygen. The mole fraction of carbon dioxide in the resulting mixtu

View Question
40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is __________ K. (Neare

View Question
The resistance of a conductivity cell with cell constant 1.14 cm$$-$$1, containing 0.001 M KCl at 298 K is 1500 $$\Omega

View Question
The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength o

View Question
When 5.1 g of solid NH4HS is introduced into a two litre evacuated flask at 27$$^\circ$$C, 20% of the solid decomposes i

View Question
The number of species having non-pyramidal shape among the following is ___________.(A) SO3(B) NO$$_3^ - $$(C) PCl3(D) C

View Question
Data given for the following reaction is as follows :FeO(s) + C(graphite) $$\to$$ Fe(s) + CO(g)
.tg {border-collapse:co

View Question
## Mathematics

The angle between the straight lines, whose direction cosines are given by the equations 2l + 2m $$-$$ n = 0 and mn + nl

View Question
Let $$A = \left( {\matrix{
{[x + 1]} & {[x + 2]} & {[x + 3]} \cr
{[x]} & {[x + 3]} & {[x + 3]}

View Question
Let M and m respectively be the maximum and minimum values of the function f(x) = tan$$-$$1 (sin x + cos x) in $$\left[

View Question
Each of the persons A and B independently tosses three fair coins. The probability that both of them get the same number

View Question
A differential equation representing the family of parabolas with axis parallel to y-axis and whose length of latus rect

View Question
If two tangents drawn from a point P to the parabola y2 = 16(x $$-$$ 3) are at right angles, then the locus of point P i

View Question
The equation of the plane passing through the line of intersection of the planes $$\overrightarrow r .\left( {\widehat i

View Question
If the solution curve of the differential equation (2x $$-$$ 10y3)dy + ydx = 0, passes through the points (0, 1) and (2,

View Question
Let A(a, 0), B(b, 2b + 1) and C(0, b), b $$\ne$$ 0, |b| $$\ne$$ 1, be points such that the area of triangle ABC is 1 sq.

View Question
Let [$$\lambda$$] be the greatest integer less than or equal to $$\lambda$$. The set of all values of $$\lambda$$ for wh

View Question
The set of all values of K > $$-$$1, for which the equation $${(3{x^2} + 4x + 3)^2} - (k + 1)(3{x^2} + 4x + 3)(3{x^2}

View Question
A box open from top is made from a rectangular sheet of dimension a $$\times$$ b by cutting squares each of side x from

View Question
The Boolean expression (p $$\wedge$$ q) $$\Rightarrow$$ ((r $$\wedge$$ q) $$\wedge$$ p) is equivalent to :

View Question
Let Z be the set of all integers,$$A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\} $$$$B = \{ (x,y) \in Z \times

View Question
The area of the region bounded by the parabola (y $$-$$ 2)2 = (x $$-$$ 1), the tangent to it at the point whose ordinate

View Question
If $$y(x) = {\cot ^{ - 1}}\left( {{{\sqrt {1 + \sin x} + \sqrt {1 - \sin x} } \over {\sqrt {1 + \sin x} - \sqrt {1 - \

View Question
Two poles, AB of length a metres and CD of length a + b (b $$\ne$$ a) metres are erected at the same horizontal level wi

View Question
If 0 < x < 1 and $$y = {1 \over 2}{x^2} + {2 \over 3}{x^3} + {3 \over 4}{x^4} + ....$$, then the value of e1 + y a

View Question
The value of the integral $$\int\limits_0^1 {{{\sqrt x dx} \over {(1 + x)(1 + 3x)(3 + x)}}} $$ is :

View Question
If $$\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} - x + 1} - ax} \right) = b$$, then the ordered pair (a

View Question
Let S be the sum of all solutions (in radians) of the equation $${\sin ^4}\theta + {\cos ^4}\theta - \sin \theta \cos

View Question
Let S be the mirror image of the point Q(1, 3, 4) with respect to the plane 2x $$-$$ y + z + 3 = 0 and let R(3, 5, $$\ga

View Question
The probability distribution of random variable X is given by :
.tg {border-collapse:collapse;border-spacing:0;}
.tg td

View Question
Let z1 and z2 be two complex numbers such that $$\arg ({z_1} - {z_2}) = {\pi \over 4}$$ and z1, z2 satisfy the equation

View Question
Let S = {1, 2, 3, 4, 5, 6, 9}. Then the number of elements in the set T = {A $$ \subseteq $$ S : A $$\ne$$ $$\phi$$ and

View Question
Let A (sec$$\theta$$, 2tan$$\theta$$) and B (sec$$\phi$$, 2tan$$\phi$$), where $$\theta$$ + $$\phi$$ = $$\pi$$/2, be two

View Question
Two circles each of radius 5 units touch each other at the point (1, 2). If the equation of their common tangent is 4x +

View Question
3 $$\times$$ 722 + 2 $$\times$$ 1022 $$-$$ 44 when divided by 18 leaves the remainder __________.

View Question
An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a v

View Question
If $$\int {{{2{e^x} + 3{e^{ - x}}} \over {4{e^x} + 7{e^{ - x}}}}dx = {1 \over {14}}(ux + v{{\log }_e}(4{e^x} + 7{e^{ - x

View Question
## Physics

Curved surfaces of a plano-convex lens of refractive index $$\mu$$1 and a plano-concave lens of refractive index $$\mu$$

View Question
The boxes of masse 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate the time take

View Question
For a transistor $$\alpha$$ and $$\beta$$ are given as $$\alpha = {{{I_C}} \over {{I_E}}}$$ and $$\beta = {{{I_C}} \ov

View Question
Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The drops fall at a regular in

View Question
Two discs have moments of inertia I1 and I2 about their respective axes perpendicular to the plane and passing through t

View Question
Three capacitors C1 = 2$$\mu$$F, C2 = 6$$\mu$$F and C3 = 12$$\mu$$F are connected as shown in figure. Find the ratio of

View Question
The Colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is :

View Question
An antenna is mounted on a 400 m tall building. What will be the wavelength of signal that can be radiated effectively b

View Question
if the rms speed of oxygen molecules at 0$$^\circ$$C is 160 m/s, find the rms speed of hydrogen molecules at 0$$^\circ$$

View Question
A constant magnetic field of 1T is applied in the x > 0 region. A metallic circular ring of radius 1m is moving with

View Question
A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitationa

View Question
For full scale deflection of total 50 divisions, 50 mV voltage is required in galvanometer. The resistance of galvanomet

View Question
A monochromatic neon lamp with wavelength of 670.5 nm illuminates a photo-sensitive material which has a stopping voltag

View Question
Match List - I with List - II.
List - I
List - II
(a)
$${R_H}$$ (Rydberg constant)

View Question
If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of densit

View Question
A coaxial cable consists of an inner wire of radius 'a' surrounded by an outer shell of inner and outer radii 'b' and 'c

View Question
The height of victoria falls is 63 m. What is the difference in temperature of water at the top and at the bottom of fal

View Question
A player kicks a football with an initial speed of 25 ms$$-$$1 at an angle of 45$$^\circ$$ from the ground. What are the

View Question
The light waves from two coherent sources have same intensity I1 = I2 = I0. In interference pattern the intensity of lig

View Question
Figure shows a rod AB, which is bent in a 120$$^\circ$$ circular arc of radius R. A charge ($$-$$Q) is uniformly distrib

View Question
A heat engine operates between a cold reservoir at temperature T2 = 400 K and a hot reservoir at temperature T1. It take

View Question
Two simple harmonic motion, are represented by the equations $${y_1} = 10\sin \left( {3\pi t + {\pi \over 3}} \right)$$

View Question
X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with pr

View Question
A zener diode of power rating 2W is to be used as a voltage regulator. If the zener diode has a breakdown of 10 V and it

View Question
Wires W1 and W2 are made of same material having the breaking stress of 1.25 $$\times$$ 109 N/m2. W1 and W2 have cross-s

View Question
A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with veloci

View Question
An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in ser

View Question
The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open a

View Question
A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and time, elec

View Question
A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pipe that will resonate with the tuning fo

View Question