JEE Main 2020 (Online) 4th September Morning Slot
Paper was held on Fri, Sep 4, 2020 3:30 AM
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Chemistry

What are the functional groups present in the structure of maltose?
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An organic compound (A) (molecular formula C6H12O2) was hydrolysed with dil. H2SO4 to give a carboxylic acid (B) and an
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Which of the following will react with CHCl3 + alc. KOH?
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The elements with atomic numbers 101 and 104 belong to, respectively :
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For one mole of an ideal gas, which of these statements must be true? (a) U and H each depends only on temperature (b) C
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The decreasing order of reactivity of the following organic molecules towards AgNO3 solution is :
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The IUPAC name of the following compound is :
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Among statements (a) - (d), the correct ones are (a) Lime stone is decomposed to CaO during the extraction of iron from
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On combustion of Li, Na and K in excess of air, the major oxides formed, respectively, are :
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For the equilibrium A ⇌ B , the variation of the rate of the forward (a) and reverse (b) reaction with time is given by
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Match the following : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;bo
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The region in the electromagnetic spectrum where the Balmar series lines appear is :
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The ionic radii of O2–, F–, Na+ and Mg2+ are in the order :
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When neopentyl alcohol is heated with an acid, it slowly converted into an 85 : 15 mixture of alkenes A and B, respectiv
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[P] on treatment with Br2/FeBr3 in CCl4 produced a single isomer C8H7O2Br while heating [P] with sodalime gave toluene.
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The number of isomers possible for [Pt(en)(NO2)2] is :
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The pair in which both the species have the same magnetic moment (spin only) is :
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The intermolecular potential energy for the molecules A, B, C and D given below suggests that :
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On heating, lead (II) nitrate gives a brown gas (A). The gas (A) on cooling changes to a colourless solid/liquid (B). (B
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$$E_{C{u^{2 + }}|Cu}^0$$ = +0.34 V $$E_{Z{n^{2 + }}|Zn}^0$$ = -0.76 V Identify the incorrect statement from the option
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The number of chiral centres present in [B] is _____.
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If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximate
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At 300 K, the vapour pressure of a solution containing 1 mole of n-hexane and 3 moles of n-heptane is 550 mm of Hg. At t
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A 20.0 mL solution containing 0.2 g impure H2O2 reacts completely with 0.316 g of KMnO4 in acid solution. The purity of
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The mass of ammonia in grams produced when 2.8 kg of dinitrogen quantitatively reacts with 1 kg of dihydrogen is _______
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Mathematics

Let [t] denote the greatest integer $$ \le $$ t. Then the equation in x, [x]2 + 2[x+2] - 7 = 0 has :
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Let y = y(x) be the solution of the differential equation, xy'- y = x2(xcosx + sinx), x > 0. if y ($$\pi $$) = $$\pi
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The value of $$\sum\limits_{r = 0}^{20} {{}^{50 - r}{C_6}} $$ is equal to:
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Let P(3, 3) be a point on the hyperbola, $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal to it
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Let $$f\left( x \right) = \int {{{\sqrt x } \over {{{\left( {1 + x} \right)}^2}}}dx\left( {x \ge 0} \right)} $$. Then f
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Let $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ (a > b) be a given ellipse, length of whose latus rectu
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If 1+(1–22.1)+(1–42.3)+(1-62.5)+......+(1-202.19)= $$\alpha $$ - 220$$\beta $$, then an ordered pair $$\left( {\alpha ,
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Let x0 be the point of Local maxima of $$f(x) = \overrightarrow a .\left( {\overrightarrow b \times \overrightarrow c }
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The integral $$\int {{{\left( {{x \over {x\sin x + \cos x}}} \right)}^2}dx} $$ is equal to (where C is a constant of in
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A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If $$\angle BAC = {90^o}$$ and area$
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Let $$f(x) = \left| {x - 2} \right|$$ and g(x) = f(f(x)), $$x \in \left[ {0,4} \right]$$. Then $$\int\limits_0^3 {\left(
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Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) $$ \ge $$ 1 and f''(x) $$ \ge $$ 4, fo
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Let $$\alpha $$ and $$\beta $$ be the roots of x2 - 3x + p=0 and $$\gamma $$ and $$\delta $$ be the roots of x2 - 6x + q
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Let $$u = {{2z + i} \over {z - ki}}$$, z = x + iy and k > 0. If the curve represented by Re(u) + Im(u) = 1 intersect
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If $$A = \left[ {\matrix{ {\cos \theta } & {i\sin \theta } \cr {i\sin \theta } & {\cos \theta } \cr
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The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14,
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A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read
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Given the following two statements: $$\left( {{S_1}} \right):\left( {q \vee p} \right) \to \left( {p \leftrightarrow \s
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Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground.
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If $$\left( {a + \sqrt 2 b\cos x} \right)\left( {a - \sqrt 2 b\cos y} \right) = {a^2} - {b^2}$$ where a > b > 0,
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Suppose a differentiable function f(x) satisfies the identity f(x+y) = f(x) + f(y) + xy2 + x2y, for all real x and y. $$
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If the equation of a plane P, passing through the intersection of the planes, x + 4y - z + 7 = 0 and 3x + y + 5z = 8 is
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If the system of equations x - 2y + 3z = 9 2x + y + z = b x - 7y + az = 24, has infinitely many solutions, then a - b is
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Let $${\left( {2{x^2} + 3x + 4} \right)^{10}} = \sum\limits_{r = 0}^{20} {{a_r}{x^r}} $$ Then $${{{a_7}} \over {{a_{13}}
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The probability of a man hitting a target is $${1 \over {10}}$$. The least number of shots required, so that the probabi
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Physics

Two charged thin infinite plane sheets of uniform surface charge density $${\sigma _ + }$$ and $${\sigma _ - }$$, where
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A small bar magnet placed with its axis at 30o with an external field of 0.06 T experiences a torque of 0.018 Nm. The mi
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Take the breakdown voltage of the zener diode used in the given circuit as 6V. For the input voltage shown in figure bel
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The specific heat of water = 4200 J kg-1K-1 and the latent heat of ice = 3.4 $$ \times $$ 105 J kg–1. 100 grams of ice a
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A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 Wm-2 falls normally on a pola
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Match the $${{{C_P}} \over {{C_V}}}$$ ratio for ideal gases with different type of molecules : .tg {border-collapse:co
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A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B,
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A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of
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For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distan
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A two point charges 4q and -q are fixed on the x-axis at x = $$ - {d \over 2}$$ and x = $${d \over 2}$$ respectively. If
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A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5
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Particle A of mass mA = $${m \over 2}$$ moving along the x-axis with velocity v0 collides elastically with another parti
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A Tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height $${h
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A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density of water is 1 gm cm–3 and water
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Given figure shows few data points in a phot electric effect experiment for a certain metal. The minimum energy for ejec
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Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum:
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Starting from the origin at time t = 0, with initial velocity 5$$\widehat j$$ ms-1 , a particle moves in the x-y plane w
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Dimensional formula for thermal conductivity is (here K denotes the temperature):
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Blocks of masses m, 2m, 4m and 8m are arranged in a line on a frictionless floor. Another block of mass m, moving with s
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On the x-axis and at a distance x from the origin, the gravitational field due a mass distribution is given by $${{Ax} \
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A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at 400 K is added to
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A circular disc of mass M and radius R is rotating about its axis with angular speed $${\omega _1}$$ . If another statio
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In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The focal len
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