JEE Main 2020 (Online) 2nd September Evening Slot
Paper was held on Wed, Sep 2, 2020 9:30 AM
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Chemistry

Three elements X, Y and Z are in the 3rd period of the periodic table. The oxides of X, Y and Z, respectively, are basic
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The major product obtained from E2 - elimination of 3-bromo-2-fluoropentane is
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Arrange the following labelled hydrogens in decreasing order of acidity :
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Two elements A and B have similar chemical properties. They don’t form solid hydrogencarbonates, but react with nitrogen
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Cast iron is used for the manufacture of :
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Consider the reaction sequence given below: Which of the following statements is true?
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The number of subshells associated with n = 4 and m = –2 quantum numbers is
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If you spill a chemical toilet cleaning liquid on your hand, your first aid would be
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Simplified absorption spectra of three complexes ((i), (ii) and (iii)) of Mn+ ion are provided below; their $$\lambda $$
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The one that is not expected to show isomerism is :
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The size of a raw mango shrinks to a much smaller size when kept in a concentrated salt solution. Which one of the follo
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Match the type of interaction in column A with the distance dependence of their interaction energy in column B .tg {bo
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The results given in the below table were obtained during kinetic studies of the following reaction 2A + B $$ \to $$ C +
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The molecular geometry of SF6 is octahedral. What is the geometry of SF4 (including lone pair(s) of electrons, if any)?
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Two compounds A and B with same molecular formula (C3H6O) undergo Grignard’s reaction with methylmagnesium bromide to gi
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Amongst the following statements regarding adsorption, those that are valid are (a) $$\Delta $$H becomes less negative a
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An organic compound ‘A’ (C9H10O) when treated with conc. HI undergoes cleavage to yield compounds ‘B’ and ‘C’. ‘B’ gives
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The shape / structure of [XeF5]– and XeO3F2, respectively, are
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The major product of the following reaction is :
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The correct observation in the following reactions is :
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The work function of sodium metal is 4.41 $$ \times $$ 10–19 J. If photons of wavelength 300 nm are incident on the meta
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The heat of combustion of ethanol into carbon dioxide and water is – 327 kcal at constant pressure. The heat evolved (in
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The oxidation states of transition metal atoms in K2Cr2O7, KMnO4 and K2FeO4, respectively, are x, y and z. The sum of x,
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For the disproportionation reaction 2Cu+(aq) ⇌ Cu(s) + Cu2+(aq) at 298 K. ln K (where K is the equilibrium constant) is
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The ratio of the mass percentages of ‘C & H’ and ‘C & O’ of a saturated acyclic organic compound ‘X’ are 4 : 1 a
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Mathematics

The area (in sq. units) of an equilateral triangle inscribed in the parabola y2 = 8x, with one of its vertices on the ve
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Let n > 2 be an integer. Suppose that there are n Metro stations in a city located along a circular path. Each pair o
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Let f(x) be a quadratic polynomial such that f(–1) + f(2) = 0. If one of the roots of f(x) = 0 is 3, then its other root
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Let f : R $$ \to $$ R be a function which satisfies f(x + y) = f(x) + f(y) $$\forall $$ x, y $$ \in $$ R. If f(1) = 2 an
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If the equation cos4 $$\theta $$ + sin4 $$\theta $$ + $$\lambda $$ = 0 has real solutions for $$\theta $$, then $$\lambd
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Let a, b, c $$ \in $$ R be all non-zero and satisfy a3 + b3 + c3 = 2. If the matrix A = $$\left( {\matrix{ a & b
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Let f : (–1, $$\infty $$) $$ \to $$ R be defined by f(0) = 1 and f(x) = $${1 \over x}{\log _e}\left( {1 + x} \right)$$,
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If the sum of first 11 terms of an A.P., a1, a2, a3, .... is 0 (a $$ \ne $$ 0), then the sum of the A.P., a1 , a3 , a5 ,
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The equation of the normal to the curve y = (1+x)2y + cos 2(sin–1x) at x = 0 is :
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The imaginary part of $${\left( {3 + 2\sqrt { - 54} } \right)^{{1 \over 2}}} - {\left( {3 - 2\sqrt { - 54} } \right)^{{1
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$$\mathop {\lim }\limits_{x \to 0} {\left( {\tan \left( {{\pi \over 4} + x} \right)} \right)^{{1 \over x}}}$$ is equal
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For some $$\theta \in \left( {0,{\pi \over 2}} \right)$$, if the eccentricity of the hyperbola, x2–y2sec2$$\theta $$ =
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A plane passing through the point (3, 1, 1) contains two lines whose direction ratios are 1, –2, 2 and 2, 3, –1 respecti
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Which of the following is a tautology ?
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Let EC denote the complement of an event E. Let E1 , E2 and E3 be any pairwise independent events with P(E1) > 0 a
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Let A = {X = (x, y, z)T: PX = 0 and x2 + y2 + z2 = 1} where $$P = \left[ {\matrix{ 1 & 2 & 1 \cr { - 2}
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Consider a region R = {(x, y) $$ \in $$ R : x2 $$ \le $$ y $$ \le $$ 2x}. if a line y = $$\alpha $$ divides the area of
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If a curve y = f(x), passing through the point (1, 2), is the solution of the differential equation, 2x2dy= (2xy + y2)dx
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Let S be the sum of the first 9 terms of the series : {x + k$$a$$} + {x2 + (k + 2)$$a$$} + {x3 + (k + 4)$$a$$} + {x4 + (
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The set of all possible values of $$\theta $$ in the interval (0, $$\pi $$) for which the points (1, 2) and (sin $$\the
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If the variance of the terms in an increasing A.P., b1 , b2 , b3 ,....,b11 is 90, then the common difference of this A.P
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If y = $$\sum\limits_{k = 1}^6 {k{{\cos }^{ - 1}}\left\{ {{3 \over 5}\cos kx - {4 \over 5}\sin kx} \right\}} $$, then $$
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Let [t] denote the greatest integer less than or equal to t. Then the value of $$\int\limits_1^2 {\left| {2x - \left[ {3
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Let the position vectors of points 'A' and 'B' be $$\widehat i + \widehat j + \widehat k$$ and $$2\widehat i + \widehat
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For a positive integer n, $${\left( {1 + {1 \over x}} \right)^n}$$ is expanded in increasing powers of x. If three conse
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Physics

In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by $$\widehat k$$ a
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When the temperature of a metal wire is increased from 0oC to 10oC, its length increases by 0.02%. The percentage change
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In a Young’s double slit experiment, 16 fringes are observed in a certain segment of the screen when light of a waveleng
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A heat engine is involved with exchange of heat of 1915 J, – 40J, + 125 J and –Q J, during one cycle achieving an effici
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An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are
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In a hydrogen atom the electron makes a transition from (n + 1)th level to the nth level. If n >> 1, the frequency
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If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for energ
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The displacement time graph of a particle executing S.H.M is given in figure :(sketch is schematic and not to scale) Wh
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The figure shows a region of length ‘l’ with a uniform magnetic field of 0.3 T in it and a proton entering the region wi
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An inductance coil has a reactance of 100 $$\Omega $$. When an AC signal of frequency 1000 Hz is applied to the coil, th
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A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA and ADEFA are perpendicular to ea
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A 10 $$\mu $$F capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is con
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A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of t
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The height ‘h’ at which the weight of a body will be the same as that at the same depth ‘h’ from the surface of the eart
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A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electri
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A potentiometer wire PQ of 1 m length is connected to a standard cell E1. Another cell E2 of emf 1.02 V is connected wit
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Two uniform circular discs are rotating independently in the same direction around their common axis passing through the
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A charge Q is distributed over two concentric conducting thin spherical shells radii r and R (R > r). If the surface
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In the following digital circuit, what will be the output at ‘Z’, when the input (A, B) are (1, 0), (0, 0), (1, 1,), (0,
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A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface
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A wire of density 9 $$ \times $$ 10–3 kg cm–3 is stretched between two clamps 1 m apart. The resulting strain in the wir
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A light ray enters a solid glass sphere of refractive index $$\mu $$ = $$\sqrt 3 $$ at an angle of incidence 60o. The ra
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A particle of mass m is moving along the x-axis with initial velocity $$u\widehat i$$. It collides elastically with a pa
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A square shaped hole of side l = $${a \over 2}$$ is carved out at a distance d = $${a \over 2}$$ from the centre ‘O’ of
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An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is 2 $$\Omega $$. The potential diffe
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