JEE Main 2021 (Online) 27th July Evening Shift
Paper was held on Tue, Jul 27, 2021 9:30 AM
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Chemistry

Consider the above reaction, the major product "P" formed is :
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Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : SO2
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The correct order of first ionisation enthalpy is :
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Given below are two statements :Statement I : Hyperconjugation is a permanent effect.Statement II : Hyperconjugation in
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Given below are two statements :Statement I : $${[Mn{(CN)_6}]^{3 - }}$$, $${[Fe{(CN)_6}]^{3 - }}$$ and $${[Co{({C_2}{O_4
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To an aqueous solution containing ions such as Al3+, Zn2+, Ca2+, Fe3+, Ni2+, Ba2+ and Cu2+ was added conc. HCl, followed
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Compound A gives D-Galactose and D-Glucose on hydrolysis. The compound A is :
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$$R - CN\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{(ii){H_2}O}^{(i)DIBAL - H}} R - Y$$Consider the above reactio
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Consider the above reaction, and choose the correct statement :
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Match List - I with List - II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style
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What is A in the following reaction?
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The correct sequence of correct reagents for the following transformation is :
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The equilibrium constant for the reactionA(s) $$\rightleftharpoons$$ M(s) + $${1 \over 2}$$O2(g)is Kp = 4. At equilibriu
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When 400 mL of 0.2 M H2SO4 solution is mixed with 600 mL of 0.1 M NaOH solution, the increase in temperature of the fina
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2SO2(g) + O2(g) $$\to$$ 2SO3(g)The above reaction is carried out in a vessel starting with partial pressure PSO2 = 250 m
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10.0 mL of 0.05 M KMnO4 solution was consumed in a titration with 10.0 mL of given oxalic acid dihydrate solution. The s
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The total number of electrons in all bonding molecular orbitals of $$O_2^{2 - }$$ is ______________.(Round off to the ne
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3 moles of metal complex with formula Co(en)2Cl3 gives 3 moles of silver chloride on treatment with excess of silver nit
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In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is __________ $$\ti
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The dihedral angle in staggered form of Newman projection of 1, 1, 1-Trichloro ethane is ___________ degree. (Round off
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For the first order reaction A $$\to$$ 2B, 1 mole of reactant A gives 0.2 moles of B after 100 minutes. The half life of
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For the cellCu(s) | Cu2+ (aq) (0.1 M) || Ag+(aq) (0.01 M) | Ag(s)the cell potential E1 = 0.3095 VFor the cellCu(s) | Cu2
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Mathematics

The point P (a, b) undergoes the following three transformations successively :(a) reflection about the line y = x.(b) t
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A possible value of 'x', for which the ninth term in the expansion of $${\left\{ {{3^{{{\log }_3}\sqrt {{{25}^{x - 1}} +
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Let f : R $$\to$$ R be defined as $$f(x + y) + f(x - y) = 2f(x)f(y),f\left( {{1 \over 2}} \right) = - 1$$. Then, the va
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Let C be the set of all complex numbers. LetS1 = {z$$\in$$C : |z $$-$$ 2| $$\le$$ 1} and S2 = {z$$\in$$C : z(1 + i) + $$
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If $$\tan \left( {{\pi \over 9}} \right),x,\tan \left( {{{7\pi } \over {18}}} \right)$$ are in arithmetic progression a
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Let the mean and variance of the frequency distribution$$\matrix{ {x:} & {{x_1} = 2} & {{x_2} = 6} & {{x_
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The area of the region bounded by y $$-$$ x = 2 and x2 = y is equal to :
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Let y = y(x) be the solution of the differential equation (x $$-$$ x3)dy = (y + yx2 $$-$$ 3x4)dx, x > 2. If y(3) = 3,
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The value of $$\mathop {\lim }\limits_{x \to 0} \left( {{x \over {\root 8 \of {1 - \sin x} - \root 8 \of {1 + \sin x} }
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Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals of
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Let $$\alpha = \mathop {\max }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}}\} $$ and $$\beta = \mathop {\min }\li
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Let $$f:[0,\infty ) \to [0,3]$$ be a function defined by $$f(x) = \left\{ {\matrix{ {\max \{ \sin t:0 \le t \le x\} ,
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Let N be the set of natural numbers and a relation R on N be defined by $$R = \{ (x,y) \in N \times N:{x^3} - 3{x^2}y -
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Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept $$6\sqrt 5 $$ on the x-axis. Then the r
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Let f : (a, b) $$\to$$ R be twice differentiable function such that $$f(x) = \int_a^x {g(t)dt} $$ for a differentiable f
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If the real part of the complex number $$z = {{3 + 2i\cos \theta } \over {1 - 3i\cos \theta }},\theta \in \left( {0,{\p
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If $$\int_0^\pi {({{\sin }^3}x){e^{ - {{\sin }^2}x}}dx = \alpha - {\beta \over e}\int_0^1 {\sqrt t {e^t}dt} } $$, the
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The number of real roots of the equation e4x $$-$$ e3x $$-$$ 4e2x $$-$$ ex + 1 = 0 is equal to ______________.
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Let y = y(x) be the solution of the differential equation dy = e$$\alpha$$x + y dx; $$\alpha$$ $$\in$$ N. If y(loge2) =
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Let n be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number (10)10 . (11)11 . (13)13
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Let A = {n $$\in$$ N | n2 $$\le$$ n + 10,000}, B = {3k + 1 | k$$\in$$ N} an dC = {2k | k$$\in$$N}, then the sum of all t
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If $$A = \left[ {\matrix{ 1 & 1 & 1 \cr 0 & 1 & 1 \cr 0 & 0 & 1 \cr } } \right]
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Physics

An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3 eV. T
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The expected graphical representation of the variation of angle of deviation '$$\delta$$' with angle of incidence 'i' in
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A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above the ground. Assume that the drop is sp
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One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27$$^\circ$$ C to 37$$^\
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An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T) is 0.2 s. What wi
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Match List I with List II. List - I List - II (a) Capacitance, C (i) $${M^
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Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional moti
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A 100$$\Omega$$ resistance, a 0.1 $$\mu$$F capacitor and an inductor are connected in series across a 250 V supply at va
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A simple pendulum of mass 'm', length 'l' and charge '+ q' suspended in the electric field produced by two conducting pa
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Find the truth table for the function Y of A and B represented in the following figure.
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Figure A and B shown to long straight wires of circular cross-section (a and b with a < b), carrying current I which
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Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their mutual gravitational
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What will be the magnitude of electric field at point O as shown in the figure? Each side of the figure is l and perpend
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A physical quantity 'y' is represented by the formula $$y = {m^2}{r^{ - 4}}{g^x}{l^{ - {3 \over 2}}}$$If the percentage
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An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant pow
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The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 $$\times$$ 1
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A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with ti
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The resistance of a conductor at 15$$^\circ$$C is 16$$\Omega$$ and at 100$$^\circ$$C is 20$$\Omega$$. What will be the t
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In the given figure, two wheels P and Q are connected by a belt B. The radius of P is three times as that of Q. In case
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The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness
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In the given figure the magnetic flux through the loop increases according to the relation $$\phi$$B(t) = 10t2 + 20t, wh
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A particle executes simple harmonic motion represented by displacement function as x(t) = A sin($$\omega$$t + $$\phi$$)I
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A swimmer wants to cross a river from point A to point B. Line AB makes an angle of 30$$^\circ$$ with the flow of river.
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For the circuit shown, the value of current at time t = 3.2 s will be _________ A.[Voltage distribution V(t) is shown by
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A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which t
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The K$$\alpha$$ X-ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atoms with a K electron knock
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The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a dep
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