JEE Advanced 2019 Paper 2 Offline

Choose the correct option(s) for the following reaction sequenceConsider Q, R and S as major products.

Which of the following options has correct combination considering List-I and List-II?

Which of the following options has correct combination considering List-I and List-II?

Total number of isomers, considering both structural and stereoisomers of cyclic ethers with the molecular formula C4H8O is .................

The decomposition reaction\(2{N_2}{O_5}(g)\buildrel \Delta \over \longrightarrow 2{N_2}{O_4}(g) + {O_2}(g)\) is started in a closed cylinder under isothermal isochoric condition at an initial pressure of 1 atm. After Y \(\times\) 103 s,...

Total number of \(cis\,N - Mn - Cl\) bond angles (that is \(Mn - N\) and \(Mn - Cl\) bonds in cis positions) present in a molecule of \(cis[Mn{(en)_2}C{l_2}]\) complex is ..................(en = NH2CH2CH2NH2)

With reference to aqua-regia, choose the correct option(s).

Choose the correct option(s) that give(s) an aromatic compound as the major product.

Which of the following reactions produce(s) propane as a major product?

Total number of hydroxyl groups present in a molecule of the major product P is ..............

The cyanide process of gold extraction involves leaching out gold from its ore with CN\(-\) in the presence of Q in water to form R. Subsequently, R is treated with T to obtain Au and Z. Choose the correct option(s).

Consider the following reactions (unbalanced).\(Zn + Hot\,conc.\,{H_2}S{O_4}\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{}} G + R + X\)\(Zn + conc.\,NaOH\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{}} T + Q\)$$G + {H_2}S + N{H_4...

Choose the correct option(s) from the following.

The mole fraction of urea in an aqueous urea solution containing 900 g of water is 0.05. If the density of the solution is 1.2 g cm\(-\)3, then molarity of urea solution is ................(Given data : Molar masses of urea and water are 60...

The amount of water produced (in g) in the oxidation of 1 mole of rhombic sulphur by conc. HNO3 to a compound with the highest oxidation state of sulphur is ..............(Given data : Molar mass of water = 18 g mol\(-\)1)

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n.Which of ...

The ground state energy of hydrogen atom is \(-\)13.6 eV. Consider an electronic state \(\psi\) of He+ whose energy, azimuthal quantum number and magnetic quantum number are \(-\)3.4 eV, 2 and 0, respectively.Which of the following stateme...

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n.Which of ...

Three lines \({L_1}:r = \lambda \widehat i\), \(\lambda\) \(\in\) R,\({L_2}:r = \widehat k + \mu \widehat j\), \(\mu\) \(\in\) R and \({L_3}:r = \widehat i + \widehat j + v\widehat k\), v \(\in\) R are given.For which point(s) Q on ...

Let f : R \(\to\) R be given by\(f(x) = (x - 1)(x - 2)(x - 5)\). Define\(F(x) = \int\limits_0^x {f(t)dt}\), x > 0Then which of the following options is/are correct?

Let, \(f(x) = {{\sin \pi x} \over {{x^2}}}\), x > 0Let x1 < x2 < x3 < ... < xn < ... be all the points of local maximum of f and y1 < y2 < y3 < ... < yn < ... be all the points of local minimum of f.Then which of the following options is/ar...

The value of the integral \(\int\limits_0^{\pi /2} {{{3\sqrt {\cos \theta } } \over {{{(\sqrt {\cos \theta } + \sqrt {\sin \theta } )}^5}}}} d\theta\) equals ..............

The value of $${\sec ^{ - 1}}\left( \matrix{
{1 \over 4}\sum\limits_{k = 0}^{10} {\sec \left( {{{7\pi } \over {12}} + {{k\pi } \over 2}} \right)}
\sec \left( {{{7\pi } \over {12}} + {{(k + 1)\pi } \over 2}} \right) \hfill \cr} \right)...

Let f : R be a function. We say that f has PROPERTY 1 if \(\mathop {\lim }\limits_{h \to 0} {{f(h) - f(0)} \over {\sqrt {|h|} }}\) exists and is finite, and PROPERTY 2 if \(\mathop {\lim }\limits_{h \to 0} {{f(h) - f(0)} \over {{h^2}}}\) ex...

For \(a \in R,\,|a|\, > 1\), let $$\mathop {\lim }\limits_{n \to \infty } \left( {{{1 + \root 3 \of 2 + ...\root 3 \of n } \over {{n^{7/3}}\left( {{1 \over {{{(an + 1)}^2}}} + {1 \over {{{(an + 2)}^2}}} + ... + {1 \over {{{(an + n)}^2}}}} ...

Let x \(\in\) R and let \(P = \left[ {\matrix{ 1 & 1 & 1 \cr 0 & 2 & 2 \cr 0 & 0 & 3 \cr } } \right]\), \(Q = \left[ {\matrix{ 2 & x & x \cr 0 & 4 & 0 \cr x & x & 6 \cr } } \right]\) and R = PQP\(-\)1, w...

Suppose
det\(\left| {\matrix{ {\sum\limits_{k = 0}^n k } & {\sum\limits_{k = 0}^n {{}^n{C_k}{k^2}} } \cr {\sum\limits_{k = 0}^n {{}^n{C_k}.k} } & {\sum\limits_{k = 0}^n {{}^n{C_k}{3^k}} } \cr } } \right| = 0\)
holds for some p...

$${P_1} = I = \left[ {\matrix{
1 & 0 & 0 \cr
0 & 1 & 0 \cr
0 & 0 & 1 \cr

} } \right],\,{P_2} = \left[ {\matrix{
1 & 0 & 0 \cr
0 & 0 & 1 \cr
0 & 1 & 0 \cr

} } \right],\,{P_3} = \left[ {\matrix{
0 & 1 & 0 ...

Let the circle C1 : x2 + y2 = 9 and C2 : (x \(-\) 3)2 + (y \(-\) 4)2 = 16, intersect at the points X and Y. Suppose that another circle C3 : (x \(-\) h)2 + (y \(-\) k)2 = r2 satisfies the following conditions :(i) centre of C3 is collinear ...

Let the circles C1 : x2 + y2 = 9 and C2 : (x \(-\) 3)2 + (y \(-\) 4)2 = 16, intersect at the points X and Y. Suppose that another circle C3 : (x \(-\) h)2 + (y \(-\) k)2 = r2 satisfies the following conditions :(i) Centre of C3 is collinear...

Five persons A, B, C, D and E are seated in a circular arrangement. If each of them is given a hat of one of the three colours red, blue and green, then the number of ways of distributing the hats such that the persons seated in adjacent se...

Let |X| denote the number of elements in a set X. Let S = {1, 2, 3, 4, 5, 6} be a sample space, where each element is equally likely to occur. If A and B are independent events associated with S, then the number of ordered pairs (A, B) such...

For non-negative integers n, let$$f(n) = {{\sum\limits_{k = 0}^n {\sin \left( {{{k + 1} \over {n + 2}}\pi } \right)} \sin \left( {{{k + 2} \over {n + 2}}\pi } \right)} \over {\sum\limits_{k = 0}^n {{{\sin }^2}\left( {{{k + 1} \over {n + 2}}...

Let f(x) = sin(\(\pi\) cos x) and g(x) = cos(2\(\pi\) sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order:X = {x : f(x) = 0}, Y = {x : f'(x) = 0}Z = {x : g(x) = 0}, W = {...

Let f(x) = sin(\(\pi\) cos x) and g(x) = cos(2\(\pi\) sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order :X = {x : f(x) = 0}, Y = {x : f'(x) = 0}Z = {x : g(x) = 0}, W = ...

Let \(\overrightarrow a = 2\widehat i + \widehat j - \widehat k\) and \(\overrightarrow b = \widehat i + 2\widehat j + \widehat k\) be two vectors. Consider a vector c = \(\alpha\)\(\overrightarrow a\) + \(\beta\)\(\overrightarrow b\), $$...

A free hydrogen atom after absorbing a photon of wavelength \(\lambda\)a gets excited from the state n = 1 to the state n = 4. Immediately after that the electron jumps to n = m state by emitting a photon of wavelength \(\lambda\)e. Let t...

Suppose a \(_{88}^{226}Ra\) nucleus at rest and in ground state undergoes \(\alpha\)-decay to a \(_{86}^{222}Rn\) nucleus in its excited state. The kinetic energy of the emitted \(\alpha\) particle is found to be 4.44 MeV. $$_{86}^{222}Rn...

A perfectly reflecting mirror of mass M mounted on a spring constitutes a spring-mass system of angular frequency \(\Omega\) such that \({{4\pi M\Omega } \over h} = {10^{24}}{m^{ - 2}}\) with h as Planck's constant. N photons of wavelength...

A 10 cm long perfectly conducting wire PQ is moving with a velocity I cm/s on a pair of horizontal rails of zero resistance. One side of the rails is connected to an inductor L = 1 mH and a resistance R = 1\(\Omega\) as shown in figure. Th...

An electric dipole with dipole moment \({{{p_0}} \over {\sqrt 2 }}(\widehat i + \widehat j)\) is held fixed at the origin O in the presence of a uniform electric field of magnitude E0.If the potential is constant on a circle of radius R cen...

Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surface as shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii ...

A monochromatic light is incident from air on a refracting surface of a prism of angle 75\(^\circ\) and refractive index \({n_0} = \sqrt 3\). The other refracting surface of the prism is coated by a thin film of material of refractive ind...

A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole of rigid diatomic gas is initially at pressure P0, volume V0, and temperature T0. If the gas mixture is adiabatically compressed to a volume \({{{V_0}} \over 4}\), then t...

If the process on one mole of monatomic ideal gas is as shown in the TV-diagram with \({P_0}{V_0} = {1 \over 3}R{T_0}\), the correct match is,

If the process carried out on one mole of monoatomic ideal gas is as shown in the PV-diagram with \({p_0}{V_0} = {1 \over 3}R{T_0}\), the correct match is,

A block of mass 2M is attached to a massless spring with spring-constant k.This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The accelerations of the blocks are a1, a2 and a3 as shown in ...

A ball is thrown from ground at an angle \(\theta\) with horizontal and with an initial speed u0. For the resulting projectile motion, the magnitude of average velocity of the ball up to the point when it hits the ground for the first time...

A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping. Which of the following statem...

An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object p...