JEE Main 2021 (Online) 27th August Morning Shift

Paper was held on
Fri, Aug 27, 2021 3:30 AM

## Chemistry

In the following sequence of reactions, the final product D is :

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The structure of the starting compound P used in the reaction given below is :

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

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In which one of the following molecules strongest back donation of an electron pair from halide to boron is expected?

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Deuterium resembles hydrogen in properties but :

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Which refining process is generally used in the purification of low melting metals?

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Match items of List-I with those of List-II :
List - I(Property)
List - II(Example)
(a

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The correct statement about (A), (B), (C) and (D) is :

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The major product of the following reaction is :

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Which of the following is not a correct statement for primary aliphatic amines?

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Acidic ferric chloride solution on treatment with excess of potassium ferrocyanide gives a Prussian blue coloured colloi

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The gas 'A' is having very low reactivity reaches to stratosphere. It is non-toxic and non-flammable but dissociated by

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The number of water molecules in gypsum, dead burnt plaster and plaster of Paris, respectively are :

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The nature of oxides V2O3 and CrO is indexed as 'X' and 'Y' type respectively. The correct set of X and Y is :

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Out of following isomeric forms of uracil, which one is present in RNA?

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)

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In the following sequence of reactions the P is :

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The unit of the van der Waals gas equation parameter 'a' in $$\left( {P + {{a{n^2}} \over {{V^2}}}} \right)(V - nb) = nR

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In polythionic acid, H2SxO6 (x = 3 to 5) the oxidation state(s) of sulphur is/are :

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Tyndall effect is more effectively shown by :

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In Carius method for estimation of halogens, 0.2 g of an organic compound gave 0.188 g of AgBr. The percentage of bromin

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The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream i

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The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to $${{{h^2}} \over {xma_0^2}}$$.

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1 kg of 0.75 molal aqueous solution of sucrose can be cooled up to $$-$$4$$^\circ$$C before freezing. The amount of ice

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1 mol of an octahedral metal complex with formula MCl3 . 2L on reaction with excess of AgNO3 gives 1 mol of AgCl. The de

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The number of moles of CuO, that will be utilized in Dumas method for estimation nitrogen in a sample of 57.5 g of N, N-

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The number of f electrons in the ground state electronic configuration of Np (Z = 93) is ___________. (Nearest integer)

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200 mL of 0.2 M HCl is mixed with 300 mL of 0.1 M NaOH. The molar heat of neutralization of this reaction is $$-$$57.1 k

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The number of moles of NH3, that must be added to 2L of 0.80 M AgNO3 in order to reduce the concentration of Ag+ ions to

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When 10 mL of an aqueous solution of KMnO4 was titrated in acidic medium, equal volume of 0.1 M of an aqueous solution o

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## Mathematics

If 0 < x < 1, then $${3 \over 2}{x^2} + {5 \over 3}{x^3} + {7 \over 4}{x^4} + .....$$, is equal to :

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If for x, y $$\in$$ R, x > 0, y = log10x + log10x1/3 + log10x1/9 + ...... upto $$\infty$$ terms and $${{2 + 4 + 6 + .

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Let A be a fixed point (0, 6) and B be a moving point (2t, 0). Let M be the mid-point of AB and the perpendicular bisect

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If $${({\sin ^{ - 1}}x)^2} - {({\cos ^{ - 1}}x)^2} = a$$; 0 < x < 1, a $$\ne$$ 0, then the value of 2x2 $$-$$ 1 i

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If the matrix $$A = \left( {\matrix{
0 & 2 \cr
K & { - 1} \cr
} } \right)$$ satisfies $$A({A^3} + 3I

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The distance of the point (1, $$-$$2, 3) from the plane x $$-$$ y + z = 5 measured parallel to a line, whose direction r

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If $$S = \left\{ {z \in C:{{z - i} \over {z + 2i}} \in R} \right\}$$, then :

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Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} = 2(y + 2\sin x - 5)x - 2\cos x$$ such tha

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Equation of a plane at a distance $$\sqrt {{2 \over {21}}} $$ from the origin, which contains the line of intersection o

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If $${U_n} = \left( {1 + {1 \over {{n^2}}}} \right)\left( {1 + {{{2^2}} \over {{n^2}}}} \right)^2.....\left( {1 + {{{n^2

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The statement (p $$ \wedge $$ (p $$\to$$ q) $$\wedge$$ (q $$\to$$ r)) $$\to$$ r is :

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Let us consider a curve, y = f(x) passing through the point ($$-$$2, 2) and the slope of the tangent to the curve at any

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$$\sum\limits_{k = 0}^{20} {{{\left( {{}^{20}{C_k}} \right)}^2}} $$ is equal to :

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A tangent and a normal are drawn at the point P(2, $$-$$4) on the parabola y2 = 8x, which meet the directrix of the para

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Let $${{\sin A} \over {\sin B}} = {{\sin (A - C)} \over {\sin (C - B)}}$$, where A, B, C are angles of triangle ABC. If

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If $$\alpha$$, $$\beta$$ are the distinct roots of x2 + bx + c = 0, then $$\mathop {\lim }\limits_{x \to \beta } {{{e^{2

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When a certain biased die is rolled, a particular face occurs with probability $${1 \over 6} - x$$ and its opposite face

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If x2 + 9y2 $$-$$ 4x + 3 = 0, x, y $$\in$$ R, then x and y respectively lie in the intervals :

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$$\int\limits_6^{16} {{{{{\log }_e}{x^2}} \over {{{\log }_e}{x^2} + {{\log }_e}({x^2} - 44x + 484)}}dx} $$ is equal to :

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A wire of length 20 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a r

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Let $$\overrightarrow a = \widehat i + 5\widehat j + \alpha \widehat k$$, $$\overrightarrow b = \widehat i + 3\widehat

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The number of distinct real roots of the equation 3x4 + 4x3 $$-$$ 12x2 + 4 = 0 is _____________.

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Let the equation x2 + y2 + px + (1 $$-$$ p)y + 5 = 0 represent circles of varying radius r $$\in$$ (0, 5]. Then the numb

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If A = {x $$\in$$ R : |x $$-$$ 2| > 1}, B = {x $$\in$$ R : $$\sqrt {{x^2} - 3} $$ > 1}, C = {x $$\in$$ R : |x $$-$

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If $$\int {{{dx} \over {{{({x^2} + x + 1)}^2}}} = a{{\tan }^{ - 1}}\left( {{{2x + 1} \over {\sqrt 3 }}} \right) + b\left

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If the system of linear equations2x + y $$-$$ z = 3x $$-$$ y $$-$$ z = $$\alpha$$3x + 3y + $$\beta$$z = 3has infinitely

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Let n be an odd natural number such that the variance of 1, 2, 3, 4, ......, n is 14. Then n is equal to _____________.

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If the minimum area of the triangle formed by a tangent to the ellipse $${{{x^2}} \over {{b^2}}} + {{{y^2}} \over {4{a^2

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A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit pali

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If $${y^{1/4}} + {y^{ - 1/4}} = 2x$$, and $$({x^2} - 1){{{d^2}y} \over {d{x^2}}} + \alpha x{{dy} \over {dx}} + \beta y =

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## Physics

A uniformly charged disc of radius R having surface charge density $$\sigma$$ is placed in the xy plane with its center

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There are 1010 radioactive nuclei in a given radioactive element, its half-life time is 1 minute. How many nuclei will r

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Which of the following is not a dimensionless quantity?

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If E and H represents the intensity of electric field and magnetising field respectively, then the unit of E/H will be :

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The resultant of these forces $$\overrightarrow {OP} ,\overrightarrow {OQ} ,\overrightarrow {OR} ,\overrightarrow {OS} $

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A balloon carries a total load of 185 kg at normal pressure and temperature of 27$$^\circ$$C. What load will the balloon

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An object is placed beyond the centre of curvature C of the given concave mirror. If the distance of the object is d1 fr

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A huge circular arc of length 4.4 ly subtends an angle '4s' at the centre of the circle. How long it would take for a bo

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Calculate the amount of charge on capacitor of 4$$\mu$$F. The internal resistance of battery is 1$$\Omega$$ :

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Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the

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For a transistor in CE mode to be used as an amplifier, it must be operated in :

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An ideal gas is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is :

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In a photoelectric experiment, increasing the intensity of incident light :

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A bar magnet is passing through a conducting loop of radius R with velocity $$\upsilon $$. The radius of the bar magnet

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Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These ions pass through the region of constan

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Find the distance of the image from object O, formed by the combination of lenses in the figure :

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In Millikan's oil drop experiment, what is viscous force acting on an uncharged drop of radius 2.0 $$\times$$ 10$$-$$5 m

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Electric field in a plane electromagnetic wave is given by E = 50 sin(500x $$-$$ 10 $$\times$$ 1010 t) V/m The velocity

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Five identical cells each of internal resistance 1$$\Omega$$ and emf 5V are connected in series and in parallel with an

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The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.The p

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A body of mass (2M) splits into four masses (m, M $$-$$ m, m, M $$-$$ m}, which are rearranged to form a square as shown

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The alternating current is given by $$i = \left\{ {\sqrt {42} \sin \left( {{{2\pi } \over T}t} \right) + 10} \right\}A$$

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A uniform conducting wire of length is 24a, and resistance R is wound up as a current carrying coil in the shape of an e

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A circuit is arranged as shown in figure. The output voltage V0 is equal to ................... V.

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First, a set of n equal resistors of 10 $$\Omega$$ each are connected in series to a battery of emf 20V and internal res

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Two cars X and Y are approaching each other with velocities 36 km/h and 72 km/h respectively. The frequency of a whistle

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If the velocity of a body related to displacement x is given by $$\upsilon = \sqrt {5000 + 24x} $$ m/s, then the accele

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A rod CD of thermal resistance 10.0 KW$$-$$1 is joined at the middle of an identical rod AB as shown in figure. The end

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Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces

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A transmitting antenna has a height of 320 m and that of receiving antenna is 2000 m. The maximum distance between them

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