WB JEE 2017

Paper was held on
Sun, Apr 23, 2017 11:00 AM

## Chemistry

For same mass of two different ideal gases of molecular weights M1 and M2, Plots of log V vs log p at a given constant t

View Question Which of the following has the dimension if [$$M{L^0}{T^{ - 2}}$$] ?

View Question If the given four electronic configurations.(i) n = 4, l = 1(ii) n = 4, l = 0(iii) n = 3, l = 2(iv) n = 3, l = 1are arra

View Question Which of the following sets of quantum numbers represents the 19th electron of Cr(Z = 24) ?

View Question 0.126 g of an acid is needed to completely neutralise 20 mL 0.1 (N) NaOH solution. The equivalent weight of the acid is

View Question In a flask, the weight ratio of CH4(g) and SO2(g) at 298 K and 1 bar is 1 : 2. The ratio of the number of molecules of S

View Question C6H5F18 is a F18 radio-isotope labelled organic compound. F18 decays by positron emission. The product resulting on deca

View Question Dissolving NaCN in de-ionised water will result in a solution having

View Question Among Me3N, C5H5N and MeCN (Me = methyl group) the electronegativity of N is in the order

View Question The shape of $$XeF_5^ - $$ will be

View Question The ground state magnetic property of B2 and C2 molecules will be

View Question The number of unpaired electrons in $${[NiC{l_4}]^{2 - }}$$, $$Ni{(CO)_4}$$ and $${[Cu{(N{H_3})_4}]^{2 + }}$$ respective

View Question Which of the following atoms should have the highest 1st electron affinity?

View Question PbCl2 is insoluble in cold water. Addition of HCl increases its solubility due to

View Question Of the following compounds, which one of the strongest Bronsted acid in a aqueous solution?

View Question The correct basicity order of the following lanthanide ions is

View Question When BaCl2 is added to an aqueous salt solution, a white precipitate is obtained. The anion among CO$$_3^{2 - }$$, SO$$_

View Question In the IUPAC system, PhCH2CH2CO2H is named as

View Question The isomerisation of 1-butyne to 2-butyne can be achieved by treatment with

View Question The correct order of acid strengths of benzoic acid (X), peroxybenzoic acid (Y) and p-nitrobenzoic acid (Z) is

View Question The yield of acetanilide in the reaction (100% conversion) of 2 moles of aniline with 1 mole of acetic anhydride is

View Question The structure of the product P of the following reaction is

View Question ADP and ATP differ in the number of

View Question The compound that would produce a nauseating smell/odour with a hot mixture of chloroform and ethanolic potassium hydrox

View Question For the reaction belowthe structure of the product Q is

View Question You are supplied with 500 mL each of 2N HCl and 5N HCl. What is the maximum volume of 3M HCl that you can prepare using

View Question Which one of the following corresponds to a photon of highest energy?

View Question Assuming the compounds to be completely dissociated in aqueous solution, identify the pair of the solutions that can be

View Question How many faradays are required to reduce 1 mol of $$C{r_2}O_7^{2 - }$$ to Cr3+ in acid medium?

View Question Equilibrium constants for the following reactions at 1200 K are given2H2O(g) $$\rightleftharpoons$$ 2H2(g) + O2(g), K1 =

View Question In a close-packed body-centred cubic lattice of potassium, the correct relation between the atomic radius (r) of potassi

View Question Which of the following solutions will turn violet when a drop of lime juice is added to it?

View Question The reaction sequence given below given product R.The structure of the product R is

View Question Reduction of the lactol S with sodium borohydride gives

View Question What will be the normality of the salt solution obtained by neutralising x mL y (N) HCl with y mL x(N) NaOH, and finally

View Question During electrolysis of molten NaCl, some water was added. What will happen?

View Question The role of fluorspar, which is added in small quantities in the electrolytic reduction of alumina dissolved in fused cr

View Question The reduction of benzene diazonium chloride to phenyl hydrazine can be accomplished by

View Question The major product(s) obtained form the following reaction of 1 mole of hexadeuteriobenzene is/are

View Question The conversion of CH3 $$-$$ CH2 $$-$$ COOH to can be accomplished by

View Question ## Mathematics

The number of all numbers having 5 digits, with distinct digits is

View Question The greatest integer which divides $$(p + 1)(p + 2)(p + 3)...(p + q)$$ for all $$p \in N$$ and fixed $$q \in N$$ is

View Question Let $${(1 + x + {x^2})^9} = {a_0} + {a_1}x + {a_2}{x^2} + ... + {a_{18}}{x^{18}}$$. Then,

View Question The linear system of equations$$\left. \matrix{
8x - 3y - 5z = 0 \hfill \cr
5x - 8y + 3z = 0 \hfill \cr
3x + 5y

View Question Let P be the set of all non-singular matrices of order 3 over R and Q be the set of all orthogonal matrices of order 3 o

View Question Let $$A = \left( {\matrix{
{x + 2} & {3x} \cr
3 & {x + 2} \cr
} } \right),\,B = \left( {\matrix{

View Question The value of det A, where $$A\, = \left( {\matrix{
1 & {\cos \theta } & 0 \cr
{ - \cos \theta } & 1

View Question Let $$f:R \to R$$ be such that f is injective and $$f(x)f(y) = f(x + y)$$ for $$\forall x,y \in R$$. If f(x), f(y), f(z)

View Question On the set R of real numbers we define xPy if and only if xy $$ \ge $$ 0. Then, the relation P is

View Question On R, the relation $$\rho$$ be defined by 'x$$\rho$$y holds if and only if x $$-$$ y is zero or irrational'. Then,

View Question Mean of n observations x1, x2, ...., xn is $$\overline x $$. If an observation xq is replaced by xq' then the new mean i

View Question The probability that a non-leap year selected at random will have 53 Sunday is

View Question The equation $$\sin x(\sin x + \cos x) = k$$ has real solutions, where k is a real number. Then,

View Question The possible values of x, which satisfy the trigonometric equation $${\tan ^{ - 1}}\left( {{{x - 1} \over {x - 2}}} \rig

View Question Transforming to parallel axes through a point (p, q), the equation $$2{x^2} + 3xy + 4{y^2} + x + 18y + 25 = 0$$ becomes

View Question Let A(2, $$-$$3) and B($$-$$ 2, 1) be two angular points of $$\Delta$$ABC. If the centroid of the triangle moves on the

View Question The point P(3, 6) is first reflected on the line y = x and then the image point Q is again reflected on the line y = $$-

View Question Let d1 and d2 be the lengths of the perpendiculars drawn from any point of the line $$7x - 9y + 10 = 0$$ upon the lines

View Question The common chord of the circles $${x^2} + {y^2} - 4x - 4y = 0$$ and $$2{x^2} + 2{y^2} = 32$$ subtends at the origin an

View Question The locus of the mid-points of the chords of the circle $${x^2} + {y^2} + 2x - 2y - 2 = 0$$, which make an angle of 90$$

View Question Let P be the foot of the perpendicular from focus S of hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1

View Question B is an extremity of the minor axis of an ellipse whose foci are S and S'. If $$\angle SBS'$$ is a right angle, then the

View Question The axis of the parabola $${x^2} + 2xy + {y^2} - 5x + 5y - 5 = 0$$ is

View Question The line segment joining the foci of the hyperbola $${x^2} - {y^2} + 1 = 0$$ is one of the diameters of a circle. The eq

View Question The equation of the plane through (1, 2, $$-$$3) and (2, $$-$$2, 1) and parallel to X-axis is

View Question Three lines are drawn from the origin O with direction cosines proportional to (1, $$-$$1, 1), (2, $$-$$3, 0) and (1, 0,

View Question Consider the non-constant differentiable function f one one variable which obeys the relation $${{f(x)} \over {f(y)}} =

View Question If $$f(x) = {\log _5}{\log _3}x$$, then f'(e) is equal to

View Question Let, $$F(x) = {e^x},G(x) = {e^{ - x}}$$ and $$H(x) = G(F(x))$$, where x is a real variable. Then, $${{dH} \over {dx}}$$

View Question If f'' (0) = k, k $$ \ne $$ 0, then the value of $$\mathop {\lim }\limits_{x \to 0} {{2f(x) - 3f(2x) + f(4x)} \over {{x^

View Question If $$y = {e^{m{{\sin }^{ - 1}}x}}$$ then $$(1 - {x^2}){{{d^2}y} \over {d{x^2}}} - x{{dy} \over {dx}} - $$ky = 0, where k

View Question The chord of the curve $$y = {x^2} + 2ax + b$$, joining the points where x = $$\alpha$$ and x = $$\beta$$, is parallel t

View Question Let $$f(x) = {x^{13}} + {x^{11}} + {x^9} + {x^7} + {x^5} + {x^3} + x + 19$$. Then, f(x) = 0 has

View Question Let $$f(x) = \left\{ {\matrix{
{{{{x^p}} \over {{{(\sin x)}^q}}},} & {if\,0 < x \le {\pi \over 2}} \cr
{

View Question $$\mathop {\lim }\limits_{x \to 0} {(\sin x)^{2\tan x}}$$ is equal to

View Question $$\int {\cos (\log x)dx} $$ = F(x) + C, where C is an arbitrary constant. Here, F(x) is equal to

View Question $$\int {{{{x^2} - 1} \over {{x^4} + 3{x^2} + 1}}dx} $$ (x > 0) is

View Question Let I = $$\left| {\int {_{10}^{19}{{\sin x} \over {1 + {x^8}}}dx} } \right|$$. Then,

View Question Let $${I_1} = \int_0^n {[x]} \,dx$$ and $${I_2} = \int_0^n {\{ x\} } \,dx$$, where [x] and {x} are integral and fraction

View Question The value of $$\mathop {\lim }\limits_{n \to \infty } \left[ {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + ..

View Question The value of the integral $$\int_0^1 {{e^{{x^2}}}} dx$$

View Question $$\int_0^{100} {{e^{x - [x]}}} dx$$ is equal to

View Question Solution of $${(x + y)^2}{{dy} \over {dx}} = {a^2}$$ ('a' belong a constant) is

View Question The integrating factor of the first order differential equation $${x^2}({x^2} - 1){{dy} \over {dx}} + x({x^2} + 1)y = {x

View Question In a GP series consisting of positive terms, each term is equal to the sum of next two terms. Then, the common ratio of

View Question If $$({\log _5}x)({\log _x}3x)({\log _{3x}}y) = {\log _x}{x^3}$$, then y equals

View Question The expression $${{{{(1 + i)}^n}} \over {{{(1 - i)}^{n - 2}}}}$$ equals

View Question Let z = x + iy, where x and y are real. The points (x, y) in the X-Y plane for which $${{{z + i} \over {z - i}}}$$ is pu

View Question If p, q are odd integers, then the roots of the equation $$2p{x^2} + (2p + q)x + q = 0$$ are

View Question Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that

View Question Let $$A = \left( {\matrix{
1 & 1 & 1 \cr
0 & 1 & 1 \cr
0 & 0 & 1 \cr
} } \right

View Question Let a, b, c be such that b(a + c) $$ \ne $$ 0. If $$\left| {\matrix{
a & {a + 1} & {a - 1} \cr
{ - b} &a

View Question On set A = {1, 2, 3}, relations R and S are given byR = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)},S = {(1, 1), (2, 2), (3

View Question If one of the diameters of the curve x2 + y2 $$-$$ 4x $$-$$ 6y + 9 = 0 is a chord of a circle with centre (1, 1), the ra

View Question Let A($$-$$ 1, 0) and B(2, 0) be two points. A point M moves in the plane in such a way that $$\angle MBA$$ = 2$$\angle

View Question If $$f(x) = \int_{ - 1}^x {|t|} \,dt$$, then for any $$x \ge 0,\,f(x)$$ is equal to

View Question Let for all x > 0, $$f(x) = \mathop {\lim }\limits_{n \to \infty } n({x^{1/n}} - 1)$$, then

View Question Let $$I = \int_0^{100\pi } {\sqrt {(1 - \cos 2x)} } \,dx$$, then

View Question The area of the figure bounded by the parabolas x = $$-$$ 2y2 and x = 1 $$-$$ 3y2 is

View Question Tangents are drawn to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 5} = 1$$ at the ends of both latusrectum. The ar

View Question The value of K in order that f(x) = sin x $$-$$ cos x $$-$$ kx + 5 decreases for all positive real values of x is given

View Question For any vector x, where $$\widehat i$$, $$\widehat j$$, $$\widehat k$$ have their usual meanings the value of $${(x \tim

View Question If the sum of two unit vectors is a unit vector, then the magnitude of their difference is

View Question Let $$\alpha$$ and $$\beta$$ be the roots of $${x^2} + x + 1 = 0$$. If n be a positive integer, then $$\alpha$$n + $$\be

View Question For real x, the greatest value of $${{{x^2} + 2x + 4} \over {2{x^2} + 4x + 9}}$$ is

View Question If a, b$$ \in $$ {1, 2, 3} and the equation ax2 + bx + 1 = 0 has real roots, then

View Question If the tangent to $${y^2} = 4ax$$ at the point $$(a{t^2},2at)$$ where | t | > 1 is a normal to $${x^2} - {y^2} = {a^2

View Question The focus of the conic x2 $$-$$ 6x + 4y + 1 = 0 is

View Question Let f : R $$ \to $$ R be twice continuously differentiable. Let f(0) = f(1) = f'(0) = 0. Then,

View Question If f(x) = xn, being a non-negative integer, then the values of n for which f'($$\alpha$$ + $$\beta$$) = f'($$\alpha$$) +

View Question Let f be a non-constant continuous function for all x $$ \ge $$ 0. Let f satisfy the relation f(x) f(a $$-$$ x) = 1 for

View Question If the line ax + by + c = 0, ab $$ \ne $$ 0, is a tangent to the curve xy = 1 $$-$$ 2x, then

View Question Two particles move in the same straight line starting at the same moment from the same point in the same direction. The

View Question The complex number z satisfying the equation | z $$-$$ 1 | = | z + 1 | = 1 is

View Question On R, the set of real numbers, a relation $$\rho $$ is defined as 'a$$\rho $$b if and only if 1 + ab > 0'. Then,

View Question ## Physics

The velocity of a particle executing a simple harmonic motion is 13 ms$$-$$1, when its distance from the equilibrium pos

View Question A uniform string of length L and mass M is fixed at both ends while it is subject to a tension T. It can vibrate at freq

View Question A uniform capillary tube of length l and inner radius r with its upper end sealed is submerged vertically into water. Th

View Question A liquid of bulk modulus k is compressed by applying an external pressure such that its density increases by 0.01%. The

View Question Temperature of an ideal gas, initially at 27$$^\circ$$C, is raised by 6$$^\circ$$C. The rms velocity of the gas molecule

View Question 2 moles of an ideal monoatomic gas is carried from a state (p0, V0) to state (2p0, 2V0) along a straight line path in a

View Question A solid rectangular sheet has two different coefficients of linear expansion $$\alpha$$1 and $$\alpha$$2 along its lengt

View Question A positive charge Q is situated at the centre of a cube. The electric flux through any face of the cube is (in SI units)

View Question Three capacitors of capacitance 1.0, 2.0 and 5.0 $$\mu$$F are connected in series to a 10 V source. The potential differ

View Question A charge of 0.8 coulomb is divided into two charges Q1 and Q2. These are kept at a separation of 30 cm. The force on Q1

View Question The magnetic field due to a current in a straight wire segment of length L at a point on its perpendicular bisector at

View Question The magnets of two suspended coil galvanometers are of the same strength so that they produce identical uniform magnetic

View Question A proton is moving with a uniform velocity of $${{{10}^6}}$$ ms$$-$$1 along the Y-axis, under the joint action of a magn

View Question When the frequency of the AC voltage applied to a series LCR circuit is gradually increased from a low value, the impeda

View Question Six wires, each of resistance r, are connected so as to form a tetrahedron. The equivalent resistance of the combination

View Question Consider the circuit shown in the figure.The value of the resistance X for which the thermal power generated in it is pr

View Question Consider the circuit shown in the figure where all the resistances are of magnitude 1 k$$\Omega$$. If the current in the

View Question The ratio of the diameter of the sun to the distance between the earth and the sun is approximately 0.009. The approxima

View Question Two monochromatic coherent light beams A and B have intensities L and $${{L \over 4}}$$, respectively. If these beams ar

View Question A point object is held above a thin equiconvex lens at its focus. The focal length is 0.1 m and the lens rests on a hori

View Question A parallel beam of light is incident on a glass prism in the shape of a quarter cylinder of radius R = 0.05 m and refrac

View Question The de-Broglie wavelength of an electron is $$0.4 \times {10^{ - 10}}$$ m when its kinetic energy is 1.0 keV. Its wavele

View Question When light of frequency v1 is incident on a metal with work function W (where hv1 > W), then photocurrent falls to ze

View Question Radon-222 has a half-life of 3.8 days. If one starts with 0.064 kg of radon-222 left after 19 days will be

View Question In the given circuit, the binary inputs at A and B are both 1 in one case and both 0 in the next case. The respective ou

View Question When a semiconducting device is connected in series with a battery and a resistance, a current is found to flow in the c

View Question The dimension of the universal constant of gravitation, G is

View Question Two particles A and B (both initially at rest) start moving towards each other under a mutual force of attraction. At th

View Question Three vectors $$\overrightarrow A $$ = a$$\widehat i$$ + $$\widehat j$$ + $$\widehat k$$; $$\overrightarrow B $$ = $$\wi

View Question A block of mass 1 kg starts from rest at x = 0 and moves along the X-axis under the action of a force F = kt, where t is

View Question A particle with charge Q coulomb, tied at the end of an inextensible string of length R metre, revolves in a vertical pl

View Question A bullet of mass 4.2 $$ \times $$ 10$$-$$2 kg, moving at a speed of 300 ms$$-$$1, gets stuck into a block with a mass 9

View Question A particle with charge e and mass m, moving along the X-axis with a uniform speed u, enters a region where a uniform ele

View Question A unit negative charge with mass M resides at the mid-point of the straight line of length 2a adjoining two fixed charge

View Question Consider the circuit given here. The potential difference VBC between the points B and C is

View Question If the pressure, temperature and density of an ideal gas are denoted by p, T and $$\rho $$, respectively, the velocity o

View Question Two long parallel wires separated by 0.1 m carry currents of 1A and 2A, respectively in opposite directions. A third cur

View Question If $$\chi $$ stands for the magnetic susceptibility of a substance, $$\mu$$ for its magnetic permeability and $$\mu$$0 f

View Question Let vn and En be the respective speed and energy of an electron in the nth orbit of radius rn, in a hydrogen atom, as pr

View Question A small steel ball bounces on a steel plate held horizontally. On each bounce the speed of the ball arriving at the plat

View Question