JEE Main 2021 (Online) 1st September Evening Shift

Paper was held on
Wed, Sep 1, 2021 9:30 AM

## Chemistry

Water sample is called cleanest on the basis of which one of the BOD values given below :

View Question
Calamine and Malachite, respectively, are the ores of :

View Question
Experimentally reducing a functional group cannot be done by which one of the following reagents?

View Question
Which one of the following given graphs represents the variation of rate constant (k) with temperature (T) for an endoth

View Question
Identify A in the following reaction.

View Question
In the following sequence of reactions a compound A, (molecular formula C6H12O2) with a straight chain structure gives a

View Question
Match List - I with List - II :
Choose the most appropriate answer from the options given below.

View Question
The Crystal Field Stabilization Energy (CFSE) and magnetic moment (spin-only) of an octahedral aqua complex of a metal i

View Question
Monomer units of Dacron polymer are :

View Question
Which one of the following compounds is aromatic in nature?

View Question
In the given chemical reaction, colors of the Fe2+ and Fe3+ ions, are respectively :5Fe2+ + MnO$$_4^ - $$ + 8H+ $$\to$$

View Question
The stereoisomers that are formed by electrophilic addition of bromine to trans-but-2-ene is/are :

View Question
Hydrogen peroxide reacts with iodine in basic medium to give :

View Question
In the following sequence of reactions,The compounds B and C respectively are :-

View Question
Given below are two statements :Statement I : The nucleophilic addition of sodium hydrogen sulphite to an aldehyde or a

View Question
Which one of the following gives the most stable Diazonium salt?

View Question
The potassium ferrocyanide solution gives a Prussian blue colour, when added to :

View Question
The oxide without nitrogen-nitrogen bond is :

View Question
Number of paramagnetic oxides among the following given oxides is ____________.Li2O, CaO, Na2O2, KO2, MgO and K2O

View Question
Identify the element for which electronic configuration in +3 oxidation state is [Ar]3d5 :

View Question
An empty LPG cylinder weighs 14.8 kg. When full, it weighs 29.0 kg and shows a pressure of 3.47 atm. In the course of us

View Question
The molar solubility of Zn(OH)2 in 0.1 M NaOH solution is x $$\times$$ 10$$-$$18 M. The value of x is _________ (Nearest

View Question
For the reaction, 2NO2(g) $$\rightleftharpoons$$ N2O4(g), when $$\Delta$$S = $$-$$176.0 JK$$-$$1 and $$\Delta$$H = $$-$$

View Question
The sum of oxidation states of two silver ions in [Ag(NH3)2] [Ag(CN)2] complex is _____________.

View Question
The number of atoms in 8g of sodium is x $$\times$$ 1023. The value of x is ____________. (Nearest integer)[Given : NA =

View Question
If 80 g of copper sulphate CuSO4 . 5H2O is dissolved in deionised water to make 5L of solution. The concentration of the

View Question
A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number of photons emitted per second by the bu

View Question
The spin-only magnetic moment value of $$B_2^ + $$ species is _____________ $$\times$$ 10$$-$$2 BM. (Nearest integer) [G

View Question
If the conductivity of mercury at 0$$^\circ$$C is 1.07 $$\times$$ 106 S m$$-$$1 and the resistance of a cell containing

View Question
A peptide synthesized by the reactions of one molecule each of Glycine, Leucine, Aspartic acid and Histidine will have _

View Question
## Mathematics

Let f : R $$\to$$ R be a continuous function. Then $$\mathop {\lim }\limits_{x \to {\pi \over 4}} {{{\pi \over 4}\int\

View Question
$${\cos ^{ - 1}}(\cos ( - 5)) + {\sin ^{ - 1}}(\sin (6)) - {\tan ^{ - 1}}(\tan (12))$$ is equal to :(The inverse trigono

View Question
Consider the system of linear equations$$-$$x + y + 2z = 03x $$-$$ ay + 5z = 12x $$-$$ 2y $$-$$ az = 7Let S1 be the set

View Question
Let the acute angle bisector of the two planes x $$-$$ 2y $$-$$ 2z + 1 = 0 and 2x $$-$$ 3y $$-$$ 6z + 1 = 0 be the plane

View Question
Which of the following is equivalent to the Boolean expression p $$\wedge$$ $$\sim$$ q ?

View Question
Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :

View Question
If y = y(x) is the solution curve of the differential equation $${x^2}dy + \left( {y - {1 \over x}} \right)dx = 0$$ ; x

View Question
If n is the number of solutions of the equation $$2\cos x\left( {4\sin \left( {{\pi \over 4} + x} \right)\sin \left( {{

View Question
The function $$f(x) = {x^3} - 6{x^2} + ax + b$$ is such that $$f(2) = f(4) = 0$$. Consider two statements :Statement 1 :

View Question
Let $${J_{n,m}} = \int\limits_0^{{1 \over 2}} {{{{x^n}} \over {{x^m} - 1}}dx} $$, $$\forall$$ n > m and n, m $$\in$$

View Question
The area, enclosed by the curves $$y = \sin x + \cos x$$ and $$y = \left| {\cos x - \sin x} \right|$$ and the lines $$x

View Question
The distance of line $$3y - 2z - 1 = 0 = 3x - z + 4$$ from the point (2, $$-$$1, 6) is :

View Question
Consider the parabola with vertex $$\left( {{1 \over 2},{3 \over 4}} \right)$$ and the directrix $$y = {1 \over 2}$$. Le

View Question
The numbers of pairs (a, b) of real numbers, such that whenever $$\alpha$$ is a root of the equation x2 + ax + b = 0, $$

View Question
Let Sn = 1 . (n $$-$$ 1) + 2 . (n $$-$$ 2) + 3 . (n $$-$$ 3) + ..... + (n $$-$$ 1) . 1, n $$\ge$$ 4.The sum $$\sum\limit

View Question
Let P1, P2, ......, P15 be 15 points on a circle. The number of distinct triangles formed by points Pi, Pj, Pk such that

View Question
The range of the function, $$f(x) = {\log _{\sqrt 5 }}\left( {3 + \cos \left( {{{3\pi } \over 4} + x} \right) + \cos \le

View Question
Let a1, a2, ..........., a21 be an AP such that $$\sum\limits_{n = 1}^{20} {{1 \over {{a_n}{a_{n + 1}}}} = {4 \over 9}}

View Question
The function f(x), that satisfies the condition $$f(x) = x + \int\limits_0^{\pi /2} {\sin x.\cos y\,f(y)\,dy} $$, is :

View Question
Let $$\theta$$ be the acute angle between the tangents to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 1} = 1$$ and

View Question
Let X be a random variable with distribution.
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:blac

View Question
Let $$f(x) = {x^6} + 2{x^4} + {x^3} + 2x + 3$$, x $$\in$$ R. Then the natural number n for which $$\mathop {\lim }\limit

View Question
If for the complex numbers z satisfying | z $$-$$ 2 $$-$$ 2i | $$\le$$ 1, the maximum value of | 3iz + 6 | is attained a

View Question
Let the points of intersections of the lines x $$-$$ y + 1 = 0, x $$-$$ 2y + 3 = 0 and 2x $$-$$ 5y + 11 = 0 are the mid

View Question
Let f(x) be a polynomial of degree 3 such that $$f(k) = - {2 \over k}$$ for k = 2, 3, 4, 5. Then the value of 52 $$-$$

View Question
All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearin

View Question
If the sum of the coefficients in the expansion of (x + y)n is 4096, then the greatest coefficient in the expansion is _

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

View Question
Let [t] denote the greatest integer $$\le$$ t. The number of points where the function $$f(x) = [x]\left| {{x^2} - 1} \r

View Question
A man starts walking from the point P($$-$$3, 4), touches the x-axis at R, and then turns to reach at the point Q(0, 2).

View Question
## Physics

A cube is placed inside an electric field, $$\overrightarrow E = 150{y^2}\widehat j$$. The side of the cube is 0.5 m an

View Question
A square loop of side 20 cm and resistance 1$$\Omega$$ is moved towards right with a constant speed v0. The right arm of

View Question
The temperature of an ideal gas in 3-dimensions is 300 K. The corresponding de-Broglie wavelength of the electron approx

View Question
A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of 0.8$$\sqrt {gh} $$. The value of workdon

View Question
The ranges and heights for two projectiles projected with the same initial velocity at angles 42$$^\circ$$ and 48$$^\cir

View Question
A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration

View Question
Due to cold weather a 1 m water pipe of cross-sectional area 1 cm2 is filled with ice at $$-$$10$$^\circ$$C. Resistive h

View Question
A student determined Young's Modulus of elasticity using the formula $$Y = {{Mg{L^3}} \over {4b{d^3}\delta }}$$. The val

View Question
Two resistors R1 = (4 $$\pm$$ 0.8) $$\Omega$$ and R2 = (4 $$\pm$$ 0.4) $$\Omega$$ are connected in parallel. The equival

View Question
The half life period of radioactive element x is same as the mean life time of another radioactive element y. Initially

View Question
Following plots show magnetization (M) vs magnetizing field (H) and magnetic susceptibility ($$\chi $$) vs temperature (

View Question
A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ($$\mu$$ = 4/3) into it

View Question
In the given figure, each diode has a forward bias resistance of 30$$\Omega$$ and infinite resistance in reverse bias. T

View Question
For the given circuit the current i through the battery when the key in closed and the steady state has been reached is

View Question
An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2N along a frictio

View Question
A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system

View Question
A capacitor is connected to a 20 V battery through a resistance of 10$$\Omega$$. It is found that the potential differen

View Question
Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction

View Question
Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by E = 20cos(2 $$\times$

View Question
There are two infinitely long straight current carrying conductors and they are held at right angles to each other so th

View Question
The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0$$^\circ$$C without changing the pressure of th

View Question
The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of

View Question
Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutio

View Question
When a body slides down from rest along a smooth inclined plane making an angle of 30$$^\circ$$ with the horizontal, it

View Question
The average translational kinetic energy of N2 gas molecules at .............$$^\circ$$C becomes equal to the K.E. of an

View Question
A uniform heating wire of resistance 36$$\Omega$$ is connected across a potential difference of 240 V. The wire is then

View Question
A steel rod with y = 2.0 $$\times$$ 1011 Nm$$-$$2 and $$\alpha$$ = 10$$-$$5 $$^\circ$$C$$-$$1 of length 4 m and area of

View Question
A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end and is free to rotate in vertical pla

View Question
A carrier wave with amplitude of 250 V is amplitude modulated by a sinusoidal base band signal of amplitude 150V. The ra

View Question
An engine is attached to a wagon through a shock absorber of length 1.5 m. The system with a total mass of 40,000 kg is

View Question