WB JEE 2019

Paper was held on
Sun, May 26, 2019 11:00 AM

## Chemistry

One of the products of the following reaction is P.Structure of P is

View Question For the reaction below, the product is Q.The compound Q is

View Question Cyclopentanol on reaction with NaH followed by CS2 and CH3I produces a/an

View Question The compound, which evolves carbon dioxide on treatment with aqueous solution of sodium bicarbonate at 25$$^\circ$$C, is

View Question The indicated atom is not a nucleophilic site in

View Question The charge carried by 1 millimole of Mn+ ions is 193 coulombs. The value of n is

View Question Which of the following mixtures will have the lowest pH at 298 K?

View Question Consider the following two first order reactions occurring at 298 K with same initial concentration of A :(1) A $$\to$$

View Question For the equilibrium, H2O(l) $$\rightleftharpoons$$ H2O(v), which of the following is correct?

View Question For a van der Waals' gas, the term $$\left( {{{ab} \over {{V^2}}}} \right)$$ represents some

View Question In the equilibrium, H2 + I2 $$\rightleftharpoons$$ 2HI, if at a given temperature the concentration of the reactants are

View Question If electrolysis of aqueous CuSO4 solution is carried out using Cu-electrodes, the reaction taking place at the anode is

View Question Which one of the following electronic arrangements is absurd?

View Question The quantity hv/KB corresponds to

View Question In the crystalline solid MSO4 . nH2O of molar mass 250 g mol$$-$$1, the percentage of anhydrous salt is 64 by weight. Th

View Question At S.T.P. the volume of 7.5 g of a gas is 5.6 L. The gas is

View Question The half-life period of $${}_{53}{I^{125}}$$ is 60 days. The radioactivity after 180 days will be

View Question Consider, the radioactive disintegration $${}_{82}{A^{210}}\buildrel {} \over
\longrightarrow B\buildrel {} \over
\lon

View Question The second ionization energy of the following elements follows the order

View Question The melting points of (i) BeCl2 (ii) CaCl2 and (iii) HgCl2 follows the order

View Question Which of these species will have non-zero magnetic moment?

View Question The first electron affinity of C, N and O will be of the order

View Question The H - N - H angle in ammonia is 107.6$$^\circ$$ while the H - P - H angle in phosphine is 93.5$$^\circ$$. Relative to

View Question The reactive species in chlorine bleach is

View Question The conductivity measurement of a coordination compound of cobalt (III) shows that it dissociates into 3 ions in solutio

View Question In the Bayer's process, the leaching of alumina is done by using

View Question Which atomic species cannot be used as a nuclear fuel?

View Question The molecule/molecules that has/have delocalised lone pair(s) of electrons is/are

View Question The conformations of n-butane, commonly known as eclipsed, gauche and anti-conformations can be interconverted by

View Question The correct order of the addition reaction rates of halogen acids with ethylene is

View Question The total number of isomeric linear dipeptides which can be synthesised from racemic alanine is

View Question The kinetic study of a reaction like vA $$\to$$ P at 300 K provides the following curve, where concentration is taken in

View Question At constant pressure, the heat of formation of a compound is not dependent on temperature, when

View Question A copper coin was electroplated with Zn and then heated at high temperature until there is a change in colour. What will

View Question Oxidation of allyl alcohol with a peracid gives a compound of molecular formula C3H6O2, which contains an asymmetric car

View Question Haloform reaction with I2 and KOH will be respond by

View Question Identify the correct statement(s) :

View Question Compounds with spin only magnetic moment equivalent to five unpaired electrons are

View Question Which of the following chemicals may be used to identify three unlabelled beakers containing conc. NaOH, conc. H2SO4 and

View Question The compound (s), capable of producing achiral compound on heating at 100$$^\circ$$ is/are

View Question ## Mathematics

$$\mathop {\lim }\limits_{x \to {0^ + }} ({x^n}\ln x),\,n > 0$$

View Question If $$\int {\cos x\log \left( {\tan {x \over 2}} \right)} dx$$ = $$\sin x\log \left( {\tan {x \over 2}} \right)$$ + f(x),

View Question y = $$\int {\cos \left\{ {2{{\tan }^{ - 1}}\sqrt {{{1 - x} \over {1 + x}}} } \right\}} dx$$ is an equation of a family o

View Question The value of the integration $$\int\limits_{ - {\pi \over 4}}^{\pi /4} {\left( {\lambda |\sin x| + {{\mu \sin x} \over

View Question The value of $$\mathop {\lim }\limits_{x \to 0} {1 \over x}\left[ {\int\limits_y^a {{e^{{{\sin }^2}t}}dt - } \int\limits

View Question If $$\int {{2^{{2^x}}}.\,{2^x}dx} = A\,.\,{2^{{2^x}}} + C$$, then A is equal to

View Question The value of the integral $$\int\limits_{ - 1}^1 {\left\{ {{{{x^{2015}}} \over {{e^{|x|}}({x^2} + \cos x)}} + {1 \over {

View Question $$\mathop {\lim }\limits_{n \to \infty } {3 \over n}\left[ {1 + \sqrt {{n \over {n + 3}}} + \sqrt {{n \over {n + 6}}}

View Question The general solution of the differential equation $$\left( {1 + {e^{{x \over y}}}} \right)dx + \left( {1 - {x \over y}}

View Question General solution of $${(x + y)^2}{{dy} \over {dx}} = {a^2},a \ne 0$$ is (C is an arbitrary constant)

View Question Let P(4, 3) be a point on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal at P in

View Question If the radius of a spherical balloon increases by 0.1%, then its volume increases approximately by

View Question The three sides of a right angled triangle are in GP (geometric progression). If the two acute angles be $$\alpha$$ and

View Question If $$\log _2^6 + {1 \over {2x}} = {\log _2}\left( {{2^{{1 \over x}}} + 8} \right)$$, then the value of x are

View Question Let z be a complex number such that the principal value of argument, arg z > 0. Then, arg z $$-$$ arg($$-$$ z) is

View Question The general value of the real angle $$\theta$$, which satisfies the equation, $$(\cos \theta + i\sin \theta )(\cos 2\th

View Question Let a, b, c be real numbers such that a + b + c < 0 and the quadratic equation ax2 + bx + c = 0 has imaginary roots.

View Question A candidate is required to answer 6 out of 12 questions which are divided into two parts A and B, each containing 6 ques

View Question There are 7 greeting cards, each of a different colour and 7 envelopes of same 7 colours as that of the cards. The numbe

View Question 72n + 16n $$-$$1 (n$$ \in $$ N) is divisible by

View Question The number of irrational terms in the expansion of $${\left( {{3^{{1 \over 8}}} + {5^{{1 \over 4}}}} \right)^{84}}$$ is

View Question Let A be a square matrix of order 3 whose all entries are 1 and let I3 be the identity matrix of order 3. Then, the matr

View Question If M is any square matrix of order 3 over R and if M' be the transpose of M, then adj(M') $$-$$ (adj M)' is equal to

View Question If $$A = \left( {\matrix{
5 & {5x} & x \cr
0 & x & {5x} \cr
0 & 0 & 5 \cr
} } \

View Question Let A and B be two square matrices of order 3 and AB = O3, where O3 denotes the null matrix of order 3. Then,

View Question Let P and T be the subsets of k, y-plane defined byP = {(x, y) : x > 0, y > 0 and x2 + y2 = 1}T = {(x, y) : x >

View Question Let $$f:R \to R$$ be defined by $$f(x) = {x^2} - {{{x^2}} \over {1 + {x^2}}}$$ for all $$x \in R$$. Then,

View Question Let the relation $$\rho $$ be defined on R as a$$\rho $$b if 1 + ab > 0. Then,

View Question A problem in mathematics is given to 4 students whose chances of solving individually are $${{1 \over 2}}$$, $${{1 \over

View Question If X is a random variable such that $$\sigma$$(X) = 2.6, then $$\sigma$$(1 $$-$$ 4X) is equal to

View Question If $${e^{\sin x}} - {e^{-\sin x}} - 4 = 0$$, then the number of real values of x is

View Question The angles of a triangle are in the ratio 2 : 3 : 7 and the radius of the circumscribed circle is 10 cm. The length of t

View Question A variable line passes through a fixed point $$({x_1},{y_1})$$ and meets the axes at A and B. If the rectangle OAPB be c

View Question A straight line through the point (3, $$-$$2) is inclined at an angle 60$$^\circ$$ to the line $$\sqrt 3 x + y = 1$$. If

View Question A variable line passes through the fixed point $$(\alpha ,\beta )$$. The locus of the foot of the perpendicular from the

View Question If the point of intersection of the lines 2ax + 4ay + c = 0 and 7bx + 3by $$-$$ d = 0 lies in the 4th quadrant and is eq

View Question A variable circle passes through the fixed point A(p, q) and touches X-axis. The locus of the other end of the diameter

View Question If P(0, 0), Q(1, 0) and R$$\left( {{1 \over 2},{{\sqrt 3 } \over 2}} \right)$$ are three given points, then the centre o

View Question For the hyperbola $${{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^2}\alpha }} = 1$$, which of the foll

View Question S and T are the foci of an ellipse and B is the end point of the minor axis. If STB is equilateral triangle, the eccentr

View Question The equation of the directrices of the hyperbola $$3{x^2} - 3{y^2} - 18x + 12y + 2 = 0$$ is

View Question P is the extremity of the latusrectum of ellipse $$3{x^2} + 4{y^2} = 48$$ in the first quadrant. The eccentric angle of

View Question The direction ratios of the normal to the plane passing through the points (1, 2, $$-$$3), ($$-$$1, $$-$$2, 1) and paral

View Question The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles is

View Question The limit of the interior angle of a regular polygon of n sides as n $$ \to $$ $$\infty $$ is

View Question Let f(x) > 0 for all x and f'(x) exists for all x. If f is the inverse function of h and $${h'(x) = {1 \over {1 + \lo

View Question Consider the function f(x) = cos x2. Then,

View Question $$\mathop {\lim }\limits_{x \to {0^ + }} {({e^x} + x)^{1/x}}$$

View Question Let f(x) be a derivable function, f'(x) > f(x) and f(0) = 0. Then,

View Question Let $$f:[1,3] \to R$$ be a continuous function that is differentiable in (1, 3) an f'(x) = | f(x) |2 + 4 for all x$$ \in

View Question Let $$a = \min \{ {x^2} + 2x + 3:x \in R\} $$ and $$b = \mathop {\lim }\limits_{\theta \to 0} {{1 - \cos \theta } \over

View Question Let a > b > 0 and I(n) = a1/n $$-$$ b1/n, J(n) = (a $$-$$ b)1/n for all n $$ \ge $$ 2, then

View Question Let $$\widehat \alpha $$, $$\widehat \beta $$, $$\widehat \gamma $$ be three unit vectors such that $$\widehat \alpha \,

View Question The position vectors of the points A, B, C and D are $$3\widehat i - 2\widehat j - \widehat k$$, $$2\widehat i - 3\wideh

View Question A particle starts at the origin and moves 1 unit horizontally to the right and reaches P1, then it moves $${1 \over 2}$$

View Question For any non-zero complex number z, the minimum value of | z | + | z $$-$$ 1 | is

View Question The system of equations$$\eqalign{
& \lambda x + y + 3z = 0 \cr
& 2x + \mu y - z = 0 \cr
& 5x + 7y

View Question Let f : X $$ \to $$ Y and A, B are non-void subsets of Y, then (where the symbols have their usual interpretation)

View Question Let S, T, U be three non-void sets and f : S $$ \to $$ T, g : T $$ \to $$ U be so that gof : s $$ \to $$ U is surjective

View Question The polar coordinate of a point P is $$\left( {2, - {\pi \over 4}} \right)$$. The polar coordinate of the point Q which

View Question The length of conjugate axis of a hyperbola is greater than the length of transverse axis. Then, the eccentricity e is

View Question The value of $$\mathop {\lim }\limits_{x \to {0^ + }} {x \over p}\left[ {{q \over x}} \right]$$ is

View Question Let $$f(x) = {x^4} - 4{x^3} + 4{x^2} + c,\,c \in R$$. Then

View Question The graphs of the polynomial x2 $$-$$ 1 and cos x intersect

View Question A point is in motion along a hyperbola $$y = {{10} \over x}$$ so that its abscissa x increases uniformly at a rate of 1

View Question Let $${I_n} = \int\limits_0^1 {{x^n}} {\tan ^{ - 1}}xdx$$. If $${a_n}{I_{n + 2}} + {b_n}{I_n} = {c_n}$$ for all n $$ \ge

View Question Two particles A and B move from rest along a straight line with constant accelerations f and h, respectively. If A takes

View Question The area bounded by y = x + 1 and y = cos x and the X-axis, is

View Question Let x1, x2 be the roots of $${x^2} - 3x + a = 0$$ and x3, x4 be the roots of $${x^2} - 12x + b = 0$$. If $${x_1} < {x

View Question If $$\theta \in R$$ and $${{1 - i\cos \theta } \over {1 + 2i\cos \theta }}$$ is real number, then $$\theta $$ will be (

View Question Let $$A = \left[ {\matrix{
3 & 0 & 3 \cr
0 & 3 & 0 \cr
3 & 0 & 3 \cr
} } \right

View Question Straight lines x $$-$$ y = 7 and x + 4y = 2 intersect at B. Points A and C are so chosen on these two lines such that AB

View Question Equation of a tangent to the hyperbola 5x2 $$-$$ y2 = 5 and which passes through an external point (2, 8) is

View Question Let f and g be differentiable on the interval I and let a, b $$ \in $$ I, a < b. Then,

View Question Consider the function $$f(x) = {{{x^3}} \over 4} - \sin \pi x + 3$$

View Question ## Physics

A ray of light is reflected by a plane mirror. $${\widehat e_0}$$, $$\widehat e$$ and $$\widehat n$$ be the unit vectors

View Question A parent nucleus X undergoes $$\alpha$$-decay with a half-life of 75000 yrs. The daughter nucleus Y undergoes $$\beta$$-

View Question A proton and an electron initially at rest are accelerated by the same potential difference. Assuming that a proton is 2

View Question To which of the following the angular velocity of the electron in the n-th Bohr orbit is proportional?

View Question In the circuit shown, what will be the current through the 6V zener?

View Question Each of the two inputs A and B can assume values either 0 or 1. Then which of the following will be equal to $$\overline

View Question The correct dimensional formula for impulse is given by

View Question The density of the material of a cube can be estimated by measuring its mass and the length of one of its sides. If the

View Question Two weights of the mass m1 and m2 (> m1) are joined by an inextensible string of negligible mass passing over a fixed

View Question A body starts from rest, under the action of an engine working at a constant power and moves along a straight line. The

View Question Two particles are simultaneously projected in the horizontal direction from a point P at a certain height. The initial v

View Question Assume that the earth moves around the sun in a circular orbit of radius R and there exists a planet which also move aro

View Question A compressive force is applied to a uniform rod of rectangular cross-section so that its length decreases by 1%. If the

View Question A small spherical body of radius r and density $$\rho $$ moves with the terminal velocity v in a fluid of coefficient of

View Question Two black bodies A and B have equal surface areas are maintained at temperatures 27$$^\circ$$C and 177$$^\circ$$C respec

View Question What will be the molar specific heat at constant volume of an ideal gas consisting of rigid diatomic molecules?

View Question Consider the given diagram. An ideal gas is contained in a chamber (left) of volume V and is at an absolute temperature

View Question Five identical capacitors, of capacitance 20$$\mu$$F each, are connected to a battery of 150V, in a combination as shown

View Question Eleven equal point charges, all of them having a charge +Q, are placed at all the hour positions of a circular clock of

View Question A negative charge is placed at the midpoint between two fixed equal positive charges, separated by a distance 2d. If the

View Question To which of the following quantities, the radius of the circular path of a charged particle moving at right angles to a

View Question An electric current 'I' enters and leaves a uniform circular wire of radius r through diametrically opposite points. A p

View Question A current 'I' is flowing along an infinite, straight wire, in the positive Z-direction and the same current is flowing a

View Question A square conducting loop is placed near an infinitely long current carrying wire with one edge parallel to the wire as s

View Question What is the current I shown in the given circuit?

View Question When the value of R in the balanced Wheatstone bridge, shown in the figure, is increased from 5$$\Omega $$ to 7$$\Omega

View Question When a 60 mH inductor and a resistor are connected in series with an AC voltage source, the voltage leads the current by

View Question A point object is placed on the axis of a thin convex lens of focal length 0.05 m at a distance of 0.2 m from the lens a

View Question In Young's experiment for the interference of light, the separation between the slits is d and the distance of the scree

View Question When the frequency of the light used is changed from $$4 \times {10^{14}}{s^{ - 1}}$$ to $$5 \times {10^{14}}{s^{ - 1}}$

View Question A capacitor of capacitance C is connected in series with a resistance R and DC source of emf E through a key. The capaci

View Question A horizontal fire hose with a nozzle of cross-sectional area $${5 \over {\sqrt {21} }} \times {10^{ - 3}}{m^2}$$ deliver

View Question Two identical blocks of ice move in opposite directions with equal speed and collide with each other. What will be the m

View Question A particle with charge q moves with a velocity v in a direction perpendicular to the directions of uniform electric and

View Question A parallel plate capacitor in series with a resistance of 100$$\Omega $$, an inductor of 20 mH and an AC voltage source

View Question Electrons are emitted with kinetic energy T from a metal plate by an irradiation of light of intensity J and frequency v

View Question The initial pressure and volume of a given mass of an ideal gas with $$\left( {{{{C_p}} \over {{C_V}}} = \gamma } \right

View Question A projectile thrown with an initial velocity of 10 ms$$-$$1 at an angle $$\alpha$$ with the horizontal, has a range of 5

View Question In the circuit shown in the figure all the resistance are identical and each has the value r$$\Omega $$. The equivalent

View Question A metallic loop is placed in a uniform magnetic field B with the plane of the loop perpendicular to B. Under which condi

View Question