JEE Main 2021 (Online) 1st September Evening Shift

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

## Chemistry

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

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 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 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 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 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 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 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 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 X be a random variable with distribution.
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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 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 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 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