NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...

WB JEE 2022

Exam Held on Sat Apr 30 2022 04:30:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

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...

Joint Entrance Examination

JEE Main JEE Advanced WB JEE