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WB JEE 2022

Exam Held on Sat Apr 30 2022 04:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

<p>A sample of MgCO<sub>3</sub> is dissolved in dil. HCl and the solution is neu...
<p>XeF<sub>2</sub>, NO<sub>2</sub>, HCN, ClO<sub>2</sub>, CO<sub>2</sub>.</p> <p...
<p>The number of atoms in body centred and face centred cubic unit cell respecti...
<p>The number of unpaired electron in Mn<sup>2+</sup> ion is</p>
<p>The average speed of H<sub>2</sub> at T<sub>1</sub>K is equal to that of O<su...
<p>Sodium nitroprusside is :</p>
<p>Choose the correct statement for the [Ni(CN)<sub>4</sub>]<sup>2$$-$$</sup> co...
<p>The boiling point of the water is higher than liquid HF. The reason is that</...
<p>The metal-pair that can produce nascent hydrogen in alkaline medium is :</p>
<p>The correct bond order of B-F bond in BF<sub>3</sub> molecule is :</p>
<p>Which of the following is radioactive?</p>
<p>The correct order of acidity of the following hydra acids is</p>
<p>To a solution of colourless sodium salt, a solution of lead nitrate was added...
<p>Oxidation states of Cr in K<sub>2</sub>Cr<sub>2</sub>O<sub>7</sub> and CrO<su...
<p>The correct order of relative stability for the given free radicals is :</p> ...
<p>Image</p> <p>Hybridisation of the negative carbons in (1) and (2) are</p>
<p> <img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2p0121b/bb...
<p>The enol form in which ethyle-3-oxobutanoate exists is</p>
<p>How many monobriminated product(s) (including stereoisomers) would form in th...
<p>What is the correct order of acidity of salicylic acid, 4-hydroxybenzoic acid...
<p>How much solid oxalic acid (Molecular weight 126) has to be weighed to prepar...
<p>The major product of the following reaction is</p> <p>$${F_3}C - CH = C{H_2} ...
<p>The correct order of relative stability of the given conformers of n-butane i...
<p>$${C_6}{H_6}(liq) + {{15} \over 2}{O_2}(g) \to 6C{O_2}(g) + 3{H_2}O(liq)$$</p...
<p>Avogadro's law is valid for</p>
<p>A metal (M) forms two oxides. The ratio M:O (by weight) in the two oxides are...
<p>The de-Broglie wavelength ($$\lambda$$) for electron (e), proton (p) and He<s...
<p>1 mL of water has 25 drops. Let N<sub>0</sub> be the Avogadro number. What is...
<p>In Bohr model of atom, radius of hydrogen atom in ground state is r<sub>1</su...
<p>Which one of the following is the correct set of four quantum numbers (n, 1, ...
<p>Let (C<sub>rms</sub>)<sub>H<sub>2</sub></sub> is the r.m.s. speed of H<sub>2<...
<p>The correct pair of electron affinity order is</p>
<p>The product of the following reaction is :</p> <p><img src="https://app-conte...
<p>The product of the following hydrogenation reaction is:</p> <p><img src="http...
<p>Pick the correct statement.</p>
<p>During the preparation of NH<sub>3</sub> in Haber's process, the promoter(s) ...
<p>The correct statement(s) about B<sub>2</sub>H<sub>6</sub> is /are :</p>
<p>Which of the following would produce enantiomeric products when reacted with ...
<p><img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2peom0f/a0c...
<p>Which of the statements are incorrect?</p>

Mathematics

<p>The values of a, b, c for which the function $$f(x) = \left\{ \matrix{ {{\s...
<p>Domain of $$y = \sqrt {{{\log }_{10}}{{3x - {x^2}} \over 2}} $$ is</p>
<p>Let $$f(x) = {a_0} + {a_1}|x| + {a_2}|x{|^2} + {a_3}|x{|^3}$$, where $${a_0},...
<p>If $$y = {e^{{{\tan }^{ - 1}}x}}$$, then</p>
<p>$$\mathop {\lim }\limits_{x \to 0} \left( {{1 \over x}\ln \sqrt {{{1 + x} \ov...
<p>Let f : [a, b] $$\to$$ R be continuous in [a, b], differentiable in (a, b) an...
<p>$$I = \int {\cos (\ln x)dx} $$. Then I =</p>
<p>Let f be derivable in [0, 1], then</p>
<p>Let $$\int {{{{x^{{1 \over 2}}}} \over {\sqrt {1 - {x^2}} }}dx = {2 \over 3}g...
<p>The value of $$\int\limits_0^{{\pi \over 2}} {{{{{(\cos x)}^{\sin x}}} \over...
<p>Let $$\mathop {\lim }\limits_{ \in \to 0 + } \int\limits_ \in ^x {{{bt\cos 4...
<p>Let $$f(x) = \int\limits_{\sin x}^{\cos x} {{e^{ - {t^2}}}dt} $$. Then $$f'\l...
<p>If $$x{{dy} \over {dx}} + y = x{{f(xy)} \over {f'(xy)}}$$, then $$|f(xy)|$$ i...
<p>A curve passes through the point (3, 2) for which the segment of the tangent ...
<p>The solution of <br/><br/>$$\cos y{{dy} \over {dx}} = {e^{x + \sin y}} + {x^2...
<p>The point of contact of the tangent to the parabola y<sup>2</sup> = 9x which ...
<p>Let $$f(x) = {(x - 2)^{17}}{(x + 5)^{24}}$$. Then</p>
<p>If $$\overrightarrow a = \widehat i + \widehat j - \widehat k$$, $$\overrigh...
<p>If the equation of one tangent to the circle with centre at (2, $$-$$1) from ...
<p>Area of the figure bounded by the parabola $${y^2} + 8x = 16$$ and $${y^2} - ...
<p>A particle moving in a straight line starts from rest and the acceleration at...
<p>If a, b, c are in G.P. and log a $$-$$ log 2b, log 2b $$-$$ log 3c, log 3c $$...
<p>Let $${a_n} = {({1^2} + {2^2} + .....\,{n^2})^n}$$ and $${b_n} = {n^n}(n!)$$....
<p>The number of zeros at the end of $$\left| \!{\underline {\, {100} \,}} \ri...
<p>If $$|z - 25i| \le 15$$, then Maximum arg(z) $$-$$ Minimum arg(z) is equal to...
<p>If z = x $$-$$ iy and $${z^{{1 \over 3}}} = p + iq(x,y,p,q \in R)$$, then $${...
<p>If a, b are odd integers, then the roots of the equation $$2a{x^2} + (2a + b)...
<p>There are n white and n black balls marked 1, 2, 3, ...... n. The number of w...
<p>Let $$f(n) = {2^{n + 1}}$$, $$g(n) = 1 + (n + 1){2^n}$$ for all $$n \in N$$. ...
<p>A is a set containing n elements. P and Q are two subsets of A. Then the numb...
<p>Under which of the following condition(s) does(do) the system of equations $$...
<p>If $$\Delta (x) = \left| {\matrix{ {x - 2} & {{{(x - 1)}^2}} & {{x^3}} \c...
<p>If $$p = \left[ {\matrix{ 1 & \alpha & 3 \cr 1 & 3 & 3 \cr 2 & ...
<p>If $$A = \left( {\matrix{ 1 & 1 \cr 0 & i \cr } } \right)$$ and $...
<p>Let S, T, U be three non-void sets and f : S $$\to$$ T, g : T $$\to$$ U and c...
<p>For the mapping $$f:R - \{ 1\} \to R - \{ 2\} $$, given by $$f(x) = {{2x} \o...
<p>A, B, C are mutually exclusive events such that $$P(A) = {{3x + 1} \over 3}$$...
<p>A determinant is chosen at random from the set of all determinants of order 2...
<p>If $$(\cot {\alpha _1})(\cot {\alpha _2})\,......\,(\cot {\alpha _n}) = 1,0 <...
<p>If the algebraic sum of the distances from the points (2, 0), (0, 2) and (1, ...
<p>The side AB of $$\Delta$$ABC is fixed and is of length 2a unit. The vertex mo...
<p>If the sum of the distances of a point from two perpendicular lines in a plan...
<p>A line passes through the point $$( - 1,1)$$ and makes an angle $${\sin ^{ - ...
<p>Two circles $${S_1} = p{x^2} + p{y^2} + 2g'x + 2f'y + d = 0$$ and $${S_2} = {...
<p>Let $$P(3\sec \theta ,2\tan \theta )$$ and $$Q(3\sec \phi ,2\tan \phi )$$ be ...
<p>Let P be a point on (2, 0) and Q be a variable point on (y $$-$$ 6)<sup>2</su...
<p>AB is a chord of a parabola y<sup>2</sup> = 4ax, (a > 0) with vertex A. BC is...
<p>AB is a variable chord of the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \o...
<p>The equation of the plane through the intersection of the planes x + y + z = ...
<p>The line $$x - 2y + 4z + 4 = 0$$, $$x + y + z - 8 = 0$$ intersect the plane $...
<p>If I is the greatest of $${I_1} = \int\limits_0^1 {{e^{ - x}}{{\cos }^2}x\,dx...
<p>$$\mathop {\lim }\limits_{x \to \infty } \left( {{{{x^2} + 1} \over {x + 1}} ...
<p>If the transformation $$z = \log \tan {x \over 2}$$ reduces the differential ...
<p>From the point ($$-$$1, $$-$$6), two tangents are drawn to y<sup>2</sup> = 4x...
<p>If $${\overrightarrow \alpha }$$ is a unit vector, $$\overrightarrow \beta ...
<p>The maximum value of $$f(x) = {e^{\sin x}} + {e^{\cos x}};x \in R$$ is</p>
<p>A straight line meets the co-ordinate axes at A and B. A circle is circumscri...
<p>Let the tangent and normal at any point P(at<sup>2</sup>, 2at), (a > 0), on t...
<p>The value of a for which the sum of the squares of the roots of the equation ...
<p>If x satisfies the inequality $${\log _{25}}{x^2} + {({\log _5}x)^2} < 2$$, t...
<p>The solution of $$\det (A - \lambda {I_2}) = 0$$ be 4 and 8 and $$A = \left( ...
<p>If P<sub>1</sub>P<sub>2</sub> and P<sub>3</sub>P<sub>4</sub> are two focal ch...
<p>$$f:X \to R,X = \{ x|0 < x < 1\} $$ is defined as $$f(x) = {{2x - 1} \over {1...
<p>Let f be a non-negative function defined in $$[0,\pi /2]$$, f' exists and be ...
<p>PQ is a double ordinate of the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}}...
<p>From a balloon rising vertically with uniform velocity v ft/sec a piece of st...
<p>Let $$f(x) = {x^2} + x\sin x - \cos x$$. Then</p>
<p>Let z<sub>1</sub> and z<sub>2</sub> be two non-zero complex numbers. Then</p>...
<p>Let $$\Delta = \left| {\matrix{ {\sin \theta \cos \phi } & {\sin \theta \...
<p>Let R and S be two equivalence relations on a non-void set A. Then</p>
<p>Chords of an ellipse are drawn through the positive end of the minor axis. Th...
<p>Consider the equation $$y - {y_1} = m(x - {x_1})$$. If m and x<sub>1</sub> ar...
<p>Let p(x) be a polynomial with real co-efficient, p(0) = 1 and p'(x) > 0 for a...
<p>Twenty metres of wire is available to fence off a flower bed in the form of a...
<p>The line y = x + 5 touches</p>

Physics

<p><img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2nl40if/c4e...
<p>The electric potential for an electric field directed parallel to X-axis is s...
<p>An electron revolves around the nucleus in a circular path with angular momen...
<p>A straight wire is placed in a magnetic field that varies with distance x fro...
<p>In a closed circuit there is only a coil of inductance L and resistance 100 $...
<p>When an AC source of emf E with frequency $$\omega$$ = 100 Hz is connected ac...
<p><img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2nmd69a/9a2...
<p>If the kinetic energies of an electron, an alpha particle and a proton having...
<p>In a Young's double slit experiment, the intensity of light at a point on the...
<p>In Young's double slit experiment with a monochromatic light, maximum intensi...
<p>The human eye has an approximate angular resolution of $$\theta$$ = 5.8 $$\ti...
<p>Suppose in a hypothetical world the angular momentum is quantized to be even ...
<p>A Zener diode having break down voltage Vz = 6V is used in a voltage regulato...
<p>The expression $$\overline A (A + B) + (B + AA)(A + \overline B )$$ simplifie...
<p>Given : The percentage error in the measurements of A, B, C and D are respect...
<p>The Entropy (S) of a black hole can be written as $$S = \beta {k_B}A$$, where...
<p>The kinetic energy (E<sub>k</sub>) of a particle moving along X-axis varies w...
<p><img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2nr5o0m/85e...
<p>A particle is subjected to two simple harmonic motions in the same direction ...
<p>A body of mass m is thrown with velocity u from the origin of a co-ordinate a...
<p>Three particles, each of mass 'm' grams situated at the vertices of an equila...
<p>A body of mass m is thrown vertically upward with speed $$\sqrt3$$ v<sub>e</s...
<p>If a string, suspended from the ceiling is given a downward force F<sub>1</su...
<p>27 drops of mercury coalesce to form a bigger drop. What is the relative incr...
<p>Certain amount of an ideal gas is taken from its initial state 1 to final sta...
<p>Consider a thermodynamic process where integral energy $$U = A{P^2}V$$ (A = c...
<p>One mole of a diatomic ideal gas undergoes a process shown in P-V diagram. Th...
<p>Two charges, each equal to $$-$$q are kept at ($$-$$a, 0) and (a, 0). A charg...
<p><img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2nrmosc/fc3...
<p>Consider two concentric conducting sphere of radii R and 2R respectively. The...
<p>A horizontal semi-circular wire of radius r is connected to a battery through...
<p>Find the equivalent capacitance between A and B of the following arrangement ...
<p>A golf ball of mass 50 gm placed on a tee, is struck by a golf-club. The spee...
<p>Three concentric metallic shells A, B and C of radii a, b and c (a < b < c) h...
<p>One mole of an ideal monoatomic gas expands along the polytrope PV<sup>3</sup...
<p><img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2nsbe54/ea2...
<p>A sample of hydrogen atom in its ground state is radiated with photons of 10....
<p>A particle is moving in x-y plane according to $$\overrightarrow r = b\cos \...
<p> <img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2nsfut5/56...
<p><img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l2nsmq7x/0e7...

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