JEE Advanced 2019 Paper 1 Offline

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

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

Each of the following options contains a set of four molecules. Identify the option(s) where all four molecules posses permanent dipole moment at room temperature.

For the following reaction, the equilibrium constant Kc at 298 K is 1.6 \(\times\) 1017.Fe2+(aq) + S2-(aq) ⇌ FeS(s)When equal volumes of 0.06 M Fe2+(aq) and 0.2 M S2\(-\)(aq)solutions are mixed, the equilibrium concentration of Fe2+(aq)...

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

Consider the kinetic data given in the following table for the reaction A + B + C \(\to\) Product. The rate of the reaction for [A] = 0.15 mol dm-3, [B] = 0.25 mol dm-3 and [C] = 0.15 mol dm-3 is found to be Y \(\times\) 10-5 mol dm-3s-...

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 and S. The total number of Br atoms in a molecule of T is .................

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

Fusion of MnO2 with KOH in presence of O2 produces a salt W. Alkaline solution of W upon electrolytic oxidation yields another salt X. The manganese containing ions present in W and X, respectively, are Y and Z. Correct statement(s) is (are...

Molar conductivity (\(\Lambda\)m) of aqueous solution of sodium stearate, which behaves as a strong electrolyte, is recorded at varying concentrations (C) of sodium stearate. Which one of the following plots provides the correct representa...

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

Calamine, malachite, magnetic and cryolite, respectively, are

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

A tin chloride Q undergoes the following reactions (not balanced)\(Q + C{l^ - } \to X\)\(Q + M{e_3}N \to Y\)\(Q + CuC{l_2} \to Z + CuCl\)X is a monoanion having pyramidal geometry. Both Y and Z are neutral compounds.Choose the correct optio...

Among B2H6, B3N3H6, N2O, N2O4, H2S2O3 and H2S2O8, the total number of molecules containing covalent bond between two atoms of the same kind is ...................

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 640 mmHg. The depression of freezing point of benzene (in K) upon addition of the solute is .............(Given data: M...

Which of the following statement(s) is(are) correct regarding the root mean square speed (Urms) and average translational kinetic energy (Eav) of a molecule in a gas at equilibrium?

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

Three lines are given by \(r = \lambda \widehat i,\,\lambda \in R\), \(r = \mu (\widehat i + \widehat j),\,\mu \in R\) and \(r = v(\widehat i + \widehat j + \widehat k),\,v\, \in R\)Let the lines cut the plane x + y + z = 1 at the points ...

Let L1 and L2 denote the lines\(r = \widehat i + \lambda ( - \widehat i + 2\widehat j + 2\widehat k)\), \(\lambda\)\(\in\) R
and \(r = \mu (2\widehat i - \widehat j + 2\widehat k),\,\mu \in R\) respectively. If L3 is a line which is pe...

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

Let the point B be the reflection of the point A(2, 3) with respect to the line \(8x - 6y - 23 = 0\). Let \(\Gamma_{A}\) and \(\Gamma_{B}\) be circles of radii 2 and 1 with centres A and B respectively. Let T be a common tangent to the ci...

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 line segment PQ has x-coordinate \(- {3 \over 5}\), then which one of the following options is correct?

Let S be the set of all complex numbers z satisfying \(\left| {z - 2 + i} \right| \ge \sqrt 5\). If the complex number z0 is such that \({1 \over {\left| {{z_0} - 1} \right|}}\) is the maximum of the set $$\left\{ {{1 \over {\left| {{z_0} ...

Let \(\omega \ne 1\) be a cube root of unity. Then the minimum of the set \(\{ {\left| {a + b\omega + c{\omega ^2}} \right|^2}:a,b,c\) distinct non-zero integers} equals ..................

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

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 tangent to I` at a point P intersect the y-axis at YP. If PYP has length 1 for each point P on I`, then which of the followin...

Define the collections {E1, E2, E3, ...} of ellipses and {R1, R2, R3.....} of rectangles as follows :\({E_1}:{{{x^2}} \over 9} + {{{y^2}} \over 4} = 1\)R1 : rectangle of largest area, with sides parallel to the axes, inscribed in E1;En : el...

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 < 0;} \cr
{{x^2} - x + 1,} & {0 \le x < 1;} \cr
{{2 \over 3}{x^3} - 4{x^2} + 7x - {8 \over 3},} & {1 \le x < 3;} \...

Let \(M = \left[ {\matrix{ {{{\sin }^4}\theta } \cr {1 + {{\cos }^2}\theta } \cr } \matrix{ { - 1 - {{\sin }^2}\theta } \cr {{{\cos }^4}\theta } \cr } } \right] = \alpha I + \beta {M^{ - 1}}\),where \(\alpha\) = $$\...

Let \(M = \left[ {\matrix{ 0 & 1 & a \cr 1 & 2 & 3 \cr 3 & b & 1 \cr } } \right]\) andadj \(M = \left[ {\matrix{ { - 1} & 1 & { - 1} \cr 8 & { - 6} & 2 \cr { - 5} & 3 & { - 1} \cr } } \right]\)where a and b...

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, and B3 contains 5 red and 3 green balls. Bags B1, B2 and B3 have probabilities \({3 \over {10}}\), \({3 \over {10}}\) and ...

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 given byE1 = {A\(\in\)S : det A = 0} andE2 = {A\(\in\)S : sum of entries of A is 7}.If a matrix is chosen at random...

In a non-right-angled triangle \(\Delta\)PQR, let p, q, r denote the lengths of the sides opposite to the angles At P, Q, R respectively. The median from R meets the side PQ at S, the perpendicular from P meets the side QR at E, and RS and...

Let \(\alpha\) and \(\beta\) be the roots of\({x^2} - x - 1 = 0\), with \(\alpha\) > \(\beta\). For all positive integers n, define\({a_n} = {{{\alpha ^n} - {\beta ^n}} \over {\alpha - \beta }},\,n \ge 1\)$${b_1} = 1\,and\,{b_n} = {a_{...

Let AP(a; d) denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d > 0. If \(AP(1;3) \cap AP(2;5) \cap AP(3;7)\) = AP(a ; d), then a + d equals ..............

In a radioactive sample, \({}_{19}^{40}K\) nuclei either decay into stable \({}_{20}^{40}Ca\) nuclei with decay constant 4.5 \(\times\) 10-10 per year or into stable \({}_{18}^{40}Ar\) nuclei with decay constant 0.5 \(\times\) 10-10 per...

A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plates is filled with N dielectric layers, parallel to its plates, each with thickness, \(\delta = {d \over N}\). The dielec...

Two identical moving coil galvanometers have 10\(\Omega\) resistance and full scale deflection at 2\(\mu\)A current. One of them is converted into a voltmeter of 100 mV full scale reading and the other into an ammeter of 1 mA full scale c...

In the circuit shown, initially there is no charge on the capacitors and keys S1 and S2 are open. The values of the capacitors are C1 = 10\(\mu\)F, C2 = 30\(\mu\)F and C3 = C4 = 80\(\mu\)F. Which of the statement(s) is/are correct?

A conducting wire of parabolic shape, initially y = x2, is moving with velocity \(v = {v_0}\widehat i\) in a non-uniform magnetic field \(B = {B_0}\left( {1 + {{\left( {{y \over L}} \right)}^\beta }} \right)\widehat k\), as shown in figure....

A charged shell of radius R carries a total charge Q. Given \(\phi\) as the flux of electric field through a closed cylindrical surface of height h, radius r and with its center same as that of the shell. Here, center of the cylinder is a ...

A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area \(\alpha\)4\(\pi\)R2(\(\alpha\) << 1) is made on the shell without affecting the ...

A planar structure of length L and width W is made of two different optical media of refractive indices n1 = 1.5 and n2 = 1.44 as shown in figure. If L >> W, a ray entering from end AB will emerge from end CD. CD only if the total internal ...

A thin convex lens is made of two materials with refractive indices n1 and n2, as shown in the figure. The radius of curvature of the left and right spherical surfaces are equal. f is the focal length of the lens when n1 = n2 = n. The focal...

Consider a spherical gaseous cloud of mass density \(\rho\)(r) in free space where r is the radial distance from its center. The gaseous cloud is made of particles of equal mass m moving in circular orbits about the common center with the ...

One mole of a monatomic ideal gas goes through a thermodynamic cycle, as shown in the volume versus temperature (V-T) diagram. The correct statement(s) is/are [R is the gas constant]

A liquid at 30\(^\circ\)C is poured very slowly into a Calorimeter that is at temperature of 110\(^\circ\)C. The boiling temperature of the liquid is 80\(^\circ\)C. It is found that the first 5 gm of the liquid completely evaporates. Aft...

A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature (T) in the metal rod changes with time (t) as $$T(t) = {T...

A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T1 and T2 of different materials having water contact angles of 0\(^\circ\) and 60\(^\circ\), respectively. The capillary tube is dipped vertically in water ...