JEE Advanced 2019 Paper 1 Offline

Paper was held on
Sun, May 26, 2019 9:00 PM

## Chemistry

The correct order of acid strength of the following carboxylic acids is

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The green colour produced in the borax bead test of a chromium (III) salt is due to

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Calamine, malachite, magnetic and cryolite, respectively, are

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Molar conductivity ($$\Lambda $$m) of aqueous solution of sodium stearate, which behaves as a strong electrolyte, is rec

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Choose the reaction(s) from the following options, for which the standard enthalpy of reaction of equal to the standard

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A tin chloride Q undergoes the following reactions (not balanced)$$Q + C{l^ - } \to X$$$$Q + M{e_3}N \to Y$$$$Q + CuC{l_

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In the decay sequence. x1, x2, x3 and x4 are particles/radiation emitted by the respective isotopes. The correct option

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Which of the following statement(s) is(are) correct regarding the root mean square speed (Urms) and average translationa

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Choose the correct option(s) for the following set of reactions.

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Which of the following statement(s) is(are) true?

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Fusion of MnO2 with KOH in presence of O2 produces a salt W. Alkaline solution of W upon electrolytic oxidation yields a

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Each of the following options contains a set of four molecules. Identify the option(s) where all four molecules posses p

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Among B2H6, B3N3H6, N2O, N2O4, H2S2O3 and H2S2O8, the total number of molecules containing covalent bond between two ato

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On dissolving 0.5 g of a non-volatile non-ionic solute to 39 g of benzene, its vapor pressure decreases from 650 mmHg to

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Consider the kinetic data given in the following table for the reaction A + B + C $$ \to $$ Product. The rate of the rea

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For the following reaction, the equilibrium constant Kc at 298 K is 1.6 $$ \times $$ 1017.Fe2+(aq) + S2-(aq) ⇌ FeS(s)Whe

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At 143 K, the reaction of XeF4 with O2F2 produces a xenon compound Y. The total number of lone pair(s) of electrons pres

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Schemes 1 and 2 describe the conversion of P to Q and R to S, respectively. Scheme 3 describes the synthesis of T from Q

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## Mathematics

Let S be the set of all complex numbers z satisfying $$\left| {z - 2 + i} \right| \ge \sqrt 5 $$. If the complex number

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Let $$M = \left[ {\matrix{
{{{\sin }^4}\theta } \cr
{1 + {{\cos }^2}\theta } \cr
} \matrix{
{ - 1 - {{\si

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A line y = mx + 1 intersects the circle $${(x - 3)^2} + {(y + 2)^2}$$ = 25 at the points P and Q. If the midpoint of the

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The area of the region{(x, y) : xy $$ \le $$ 8, 1 $$ \le $$ y $$ \le $$ x2} is

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Let $$\Gamma $$ denote a curve y = y(x) which is in the first quadrant and let the point (1, 0) lie on it. Let the tange

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Define the collections {E1, E2, E3, ...} of ellipses and {R1, R2, R3.....} of rectangles as follows :$${E_1}:{{{x^2}} \o

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In a non-right-angled triangle $$\Delta $$PQR, let p, q, r denote the lengths of the sides opposite to the angles At P,

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Let $$\alpha $$ and $$\beta $$ be the roots of$${x^2} - x - 1 = 0$$, with $$\alpha $$ > $$\beta $$. For all positive

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Let L1 and L2 denote the lines$$r = \widehat i + \lambda ( - \widehat i + 2\widehat j + 2\widehat k)$$, $$\lambda $$$$ \

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There are three bags B1, B2 and B3. The bag B1 contains 5 red and 5 green balls, B2 contains 3 red and 5 green balls, an

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Let $$M = \left[ {\matrix{
0 & 1 & a \cr
1 & 2 & 3 \cr
3 & b & 1 \cr
} } \right

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Let f : R $$ \to $$ R be given by$$f(x) = \left\{ {\matrix{
{{x^5} + 5{x^4} + 10{x^3} + 10{x^2} + 3x + 1,} & {x &

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Let S be the sample space of all 3 $$ \times $$ 3 matrices with entries from the set {0, 1}. Let the events E1 and E2 be

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Let the point B be the reflection of the point A(2, 3) with respect to the line $$8x - 6y - 23 = 0$$. Let $$\Gamma_{A} $

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Let $$\omega \ne 1$$ be a cube root of unity. Then the maximum of the set $$\{ {\left| {a + b\omega + c{\omega ^2}} \r

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If $$I = {2 \over \pi }\int\limits_{ - \pi /4}^{\pi /4} {{{dx} \over {(1 + {e^{\sin x}})(2 - \cos 2x)}}} $$, then 27I2 e

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Three lines are given by $$r = \lambda \widehat i,\,\lambda \in R$$, $$r = \mu (\widehat i + \widehat j),\,\mu \in R$$

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Let AP(a; d) denote the set of all the terms of an infinite arithmetic progression with first term a and common differen

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## Physics

In a radioactive sample, $${}_{19}^{40}K$$ nuclei either decay into stable $${}_{20}^{40}Ca$$ nuclei with decay constant

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A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed

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A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surf

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Consider a spherical gaseous cloud of mass density $$\rho $$(r) in free space where r is the radial distance from its ce

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A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T1 and T2 of different materials having

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A conducting wire of parabolic shape, initially y = x2, is moving with velocity $$v = {v_0}\widehat i$$ in a non-uniform

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A thin convex lens is made of two materials with refractive indices n1 and n2, as shown in the figure. The radius of cur

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One mole of a monatomic ideal gas goes through a thermodynamic cycle, as shown in the volume versus temperature (V-T) di

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In the circuit shown, initially there is no charge on the capacitors and keys S1 and S2 are open. The values of the capa

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A charged shell of radius R carries a total charge Q. Given $$\phi $$ as the flux of electric field through a closed cyl

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Two identical moving coil galvanometers have 10$$\Omega $$ resistance and full scale deflection at 2$$\mu $$A current. O

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Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L, wh

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A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plate

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A planar structure of length L and width W is made of two different optical media of refractive indices n1 = 1.5 and n2

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A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 cm2 and length $$\sqrt 3

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A liquid at 30$$^\circ $$C is poured very slowly into a Calorimeter that is at temperature of 110$$^\circ $$C. The boili

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A particle is moved along a path AB-BC-CD-DE-EF-FA, as shown in figure, in presence of a force $$F = (\alpha y\widehat i

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A train S1, moving with a uniform velocity of 108 km/h, approaches another train S2 standing on a platform. An observer

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