JEE Main 2021 (Online) 27th August Evening Shift
Paper was held on Fri, Aug 27, 2021 9:30 AM
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Chemistry

Choose the correct statement from the following :
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The addition of dilute NaOH to Cr3+ salt solution will give :
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Given below are two statements :Statement I : Ethyl pent-4-yn-oate on reaction with CH3MgBr gives a 3$$^\circ$$-alcohol.
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In stratosphere most of the ozone formation is assisted by :
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The compound/s which will show significant intermolecular H-bonding is/are :
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Which one of the following chemicals is responsible for the production of HCl in the stomach leading to irritation and p
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The oxide that gives H2O2 most readily on treatment with H2O is :
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Which one of the following reactions will not yield propionic acid?
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The correct order of ionic radii for the ions, P3$$-$$, S2$$-$$, Ca2+, K+, Cl$$-$$ is :
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Which one of the following is the major product of the given reaction?
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The major product (A) formed in the reaction given below is :
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Which one of the following is used to remove most of plutonium from spent nuclear fuel?
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Lyophilic sols are more stable than lyophobic sols because :
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The major product of the following reaction, if it occurs by SN2 mechanism is :
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Potassium permanganate on heating at 513 K gives a product which is :
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Which one of the following tests used for the identification of functional groups in organic compounds does not use copp
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Hydrolysis of sucrose gives :
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Match List-I with List-II : List - I(Name of ore/mineral) List - II(Chemical formula)
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Which one of the following is formed (mainly) when red phosphorus is heated in a sealed tube at 803 K?
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The correct structures of A and B formed in the following reactions are :
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The first order rate constant for the decomposition of CaCO3 at 700 K is 6.36 $$\times$$ 10$$-$$3s$$-$$1 and activation
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The number of optical isomers possible for [Cr(C2O4)3]3$$-$$ is ____________.
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Two flasks I and II shown below are connected by a valve of negligible volume.When the valve is opened, the final pressu
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100 g of propane is completely reacted with 1000 g of oxygen. The mole fraction of carbon dioxide in the resulting mixtu
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40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is __________ K. (Neare
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The resistance of a conductivity cell with cell constant 1.14 cm$$-$$1, containing 0.001 M KCl at 298 K is 1500 $$\Omega
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The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength o
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When 5.1 g of solid NH4HS is introduced into a two litre evacuated flask at 27$$^\circ$$C, 20% of the solid decomposes i
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The number of species having non-pyramidal shape among the following is ___________.(A) SO3(B) NO$$_3^ - $$(C) PCl3(D) C
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Data given for the following reaction is as follows :FeO(s) + C(graphite) $$\to$$ Fe(s) + CO(g) .tg {border-collapse:co
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Mathematics

The angle between the straight lines, whose direction cosines are given by the equations 2l + 2m $$-$$ n = 0 and mn + nl
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Let $$A = \left( {\matrix{ {[x + 1]} & {[x + 2]} & {[x + 3]} \cr {[x]} & {[x + 3]} & {[x + 3]}
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Let M and m respectively be the maximum and minimum values of the function f(x) = tan$$-$$1 (sin x + cos x) in $$\left[
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Each of the persons A and B independently tosses three fair coins. The probability that both of them get the same number
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A differential equation representing the family of parabolas with axis parallel to y-axis and whose length of latus rect
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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
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The equation of the plane passing through the line of intersection of the planes $$\overrightarrow r .\left( {\widehat i
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If the solution curve of the differential equation (2x $$-$$ 10y3)dy + ydx = 0, passes through the points (0, 1) and (2,
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Let A(a, 0), B(b, 2b + 1) and C(0, b), b $$\ne$$ 0, |b| $$\ne$$ 1, be points such that the area of triangle ABC is 1 sq.
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Let [$$\lambda$$] be the greatest integer less than or equal to $$\lambda$$. The set of all values of $$\lambda$$ for wh
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The set of all values of K > $$-$$1, for which the equation $${(3{x^2} + 4x + 3)^2} - (k + 1)(3{x^2} + 4x + 3)(3{x^2}
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A box open from top is made from a rectangular sheet of dimension a $$\times$$ b by cutting squares each of side x from
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The Boolean expression (p $$\wedge$$ q) $$\Rightarrow$$ ((r $$\wedge$$ q) $$\wedge$$ p) is equivalent to :
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Let Z be the set of all integers,$$A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\} $$$$B = \{ (x,y) \in Z \times
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The area of the region bounded by the parabola (y $$-$$ 2)2 = (x $$-$$ 1), the tangent to it at the point whose ordinate
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If $$y(x) = {\cot ^{ - 1}}\left( {{{\sqrt {1 + \sin x} + \sqrt {1 - \sin x} } \over {\sqrt {1 + \sin x} - \sqrt {1 - \
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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
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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
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The value of the integral $$\int\limits_0^1 {{{\sqrt x dx} \over {(1 + x)(1 + 3x)(3 + x)}}} $$ is :
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If $$\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} - x + 1} - ax} \right) = b$$, then the ordered pair (a
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Let S be the sum of all solutions (in radians) of the equation $${\sin ^4}\theta + {\cos ^4}\theta - \sin \theta \cos
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Let S be the mirror image of the point Q(1, 3, 4) with respect to the plane 2x $$-$$ y + z + 3 = 0 and let R(3, 5, $$\ga
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The probability distribution of random variable X is given by : .tg {border-collapse:collapse;border-spacing:0;} .tg td
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Let z1 and z2 be two complex numbers such that $$\arg ({z_1} - {z_2}) = {\pi \over 4}$$ and z1, z2 satisfy the equation
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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
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Let A (sec$$\theta$$, 2tan$$\theta$$) and B (sec$$\phi$$, 2tan$$\phi$$), where $$\theta$$ + $$\phi$$ = $$\pi$$/2, be two
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Two circles each of radius 5 units touch each other at the point (1, 2). If the equation of their common tangent is 4x +
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3 $$\times$$ 722 + 2 $$\times$$ 1022 $$-$$ 44 when divided by 18 leaves the remainder __________.
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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
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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
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Physics

Curved surfaces of a plano-convex lens of refractive index $$\mu$$1 and a plano-concave lens of refractive index $$\mu$$
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The boxes of masse 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate the time take
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For a transistor $$\alpha$$ and $$\beta$$ are given as $$\alpha = {{{I_C}} \over {{I_E}}}$$ and $$\beta = {{{I_C}} \ov
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Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The drops fall at a regular in
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Two discs have moments of inertia I1 and I2 about their respective axes perpendicular to the plane and passing through t
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Three capacitors C1 = 2$$\mu$$F, C2 = 6$$\mu$$F and C3 = 12$$\mu$$F are connected as shown in figure. Find the ratio of
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The Colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is :
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An antenna is mounted on a 400 m tall building. What will be the wavelength of signal that can be radiated effectively b
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if the rms speed of oxygen molecules at 0$$^\circ$$C is 160 m/s, find the rms speed of hydrogen molecules at 0$$^\circ$$
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A constant magnetic field of 1T is applied in the x > 0 region. A metallic circular ring of radius 1m is moving with
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A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitationa
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For full scale deflection of total 50 divisions, 50 mV voltage is required in galvanometer. The resistance of galvanomet
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A monochromatic neon lamp with wavelength of 670.5 nm illuminates a photo-sensitive material which has a stopping voltag
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Match List - I with List - II. List - I List - II (a) $${R_H}$$ (Rydberg constant)
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If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of densit
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A coaxial cable consists of an inner wire of radius 'a' surrounded by an outer shell of inner and outer radii 'b' and 'c
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The height of victoria falls is 63 m. What is the difference in temperature of water at the top and at the bottom of fal
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A player kicks a football with an initial speed of 25 ms$$-$$1 at an angle of 45$$^\circ$$ from the ground. What are the
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The light waves from two coherent sources have same intensity I1 = I2 = I0. In interference pattern the intensity of lig
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Figure shows a rod AB, which is bent in a 120$$^\circ$$ circular arc of radius R. A charge ($$-$$Q) is uniformly distrib
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A heat engine operates between a cold reservoir at temperature T2 = 400 K and a hot reservoir at temperature T1. It take
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Two simple harmonic motion, are represented by the equations $${y_1} = 10\sin \left( {3\pi t + {\pi \over 3}} \right)$$
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X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with pr
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A zener diode of power rating 2W is to be used as a voltage regulator. If the zener diode has a breakdown of 10 V and it
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Wires W1 and W2 are made of same material having the breaking stress of 1.25 $$\times$$ 109 N/m2. W1 and W2 have cross-s
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A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with veloci
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An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in ser
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The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open a
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A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and time, elec
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A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pipe that will resonate with the tuning fo
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