JEE Main 2022 (Online) 27th July Evening Shift
Paper was held on Wed, Jul 27, 2022 9:30 AM
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Chemistry

The correct decreasing order of energy for the orbitals having, following set of quantum numbers : (A) n = 3, l = 0, m =
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The plot of $$\mathrm{pH}$$-metric titration of weak base $$\mathrm{NH}_{4} \mathrm{OH}$$ vs strong acid HCl looks like
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Given below are two statements : Statement I : For KI, molar conductivity increases steeply with dilution Statement II :
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Outermost electronic configurations of four elements A, B, C, D are given below : (A) $$3 s^{2}$$ (B) $$3 s^{2} 3 p^{1}$
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In neutral or alkaline solution, $$\mathrm{MnO}_{4}^{-}$$ oxidises thiosulphate to :
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Low oxidation state of metals in their complexes are common when ligands :
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The structure of A in the given reaction is :
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Major product '$$\mathrm{B}$$' of the following reaction sequence is :
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An organic compound $$'\mathrm{A}'$$ contains nitrogen and chlorine. It dissolves readily in water to give a solution th
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$$\mathrm{Fe}^{3+}$$ cation gives a prussian blue precipitate on addition of potassium ferrocyanide solution due to the
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The normality of $$\mathrm{H}_{2} \mathrm{SO}_{4}$$ in the solution obtained on mixing $$100 \mathrm{~mL}$$ of $$0.1 \,\
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A gas (Molar mass = 280 $$\mathrm{~g} \mathrm{~mol}^{-1}$$) was burnt in excess $$\mathrm{O}_{2}$$ in a constant volume
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When a certain amount of solid A is dissolved in $$100 \mathrm{~g}$$ of water at $$25^{\circ} \mathrm{C}$$ to make a dil
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$$\matrix{ {[A]} & \to & {[B]} \cr {{\mathop{\rm Reactant}\nolimits} } & {} & {{\mathop{\rm Product}\nolimits}
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The number of molecule(s) or ion(s) from the following having non-planar structure is ____________. $$\mathrm{NO}_{3}^{-
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The spin only magnetic moment of the complex present in Fehling's reagent is __________ B.M. (Nearest integer).
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In the above reaction, $$5 \mathrm{~g}$$ of toluene is converted into benzaldehyde with $$92 \%$$ yield. The amount of
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Mathematics

The domain of the function $$f(x)=\sin ^{-1}\left[2 x^{2}-3\right]+\log _{2}\left(\log _{\frac{1}{2}}\left(x^{2}-5 x+5\r
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Let S be the set of all $$(\alpha, \beta), \pi
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If $$\alpha, \beta$$ are the roots of the equation $$ x^{2}-\left(5+3^{\sqrt{\log _{3} 5}}-5^{\sqrt{\log _{5} 3}}\right)
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If for $$\mathrm{p} \neq \mathrm{q} \neq 0$$, the function $$f(x)=\frac{\sqrt[7]{\mathrm{p}(729+x)}-3}{\sqrt[3]{729+\mat
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Let $$f(x)=2+|x|-|x-1|+|x+1|, x \in \mathbf{R}$$. Consider $$(\mathrm{S} 1): f^{\prime}\left(-\frac{3}{2}\right)+f^{\pri
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Let the sum of an infinite G.P., whose first term is a and the common ratio is r, be 5 . Let the sum of its first five t
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The area of the region enclosed by $$y \leq 4 x^{2}, x^{2} \leq 9 y$$ and $$y \leq 4$$, is equal to :
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$$\int\limits_{0}^{2}\left(\left|2 x^{2}-3 x\right|+\left[x-\frac{1}{2}\right]\right) \mathrm{d} x$$, where [t] is the g
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Consider a curve $$y=y(x)$$ in the first quadrant as shown in the figure. Let the area $$\mathrm{A}_{1}$$ is twice the a
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The equations of the sides $$\mathrm{AB}, \mathrm{BC}$$ and CA of a triangle ABC are $$2 x+y=0, x+\mathrm{p} y=39$$ and
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If the length of the perpendicular drawn from the point $$P(a, 4,2)$$, a $$>0$$ on the line $$\frac{x+1}{2}=\frac{y-3}{3
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A six faced die is biased such that $$3 \times \mathrm{P}($$a prime number$$)\,=6 \times \mathrm{P}($$a composite number
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The number of functions $$f$$, from the set $$\mathrm{A}=\left\{x \in \mathbf{N}: x^{2}-10 x+9 \leq 0\right\}$$ to the s
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Let for the $$9^{\text {th }}$$ term in the binomial expansion of $$(3+6 x)^{\mathrm{n}}$$, in the increasing powers of
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A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is
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For the curve $$C:\left(x^{2}+y^{2}-3\right)+\left(x^{2}-y^{2}-1\right)^{5}=0$$, the value of $$3 y^{\prime}-y^{3} y^{\p
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Let $$f(x)=\min \{[x-1],[x-2], \ldots,[x-10]\}$$ where [t] denotes the greatest integer $$\leq \mathrm{t}$$. Then $$\int
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Let f be a differentiable function satisfying $$f(x)=\frac{2}{\sqrt{3}} \int\limits_{0}^{\sqrt{3}} f\left(\frac{\lambda^
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Let $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$ be three non-coplanar vectors such that $$\ov
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Physics

An expression of energy density is given by $$u=\frac{\alpha}{\beta} \sin \left(\frac{\alpha x}{k t}\right)$$, where $$\
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A body of mass $$10 \mathrm{~kg}$$ is projected at an angle of $$45^{\circ}$$ with the horizontal. The trajectory of the
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A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with
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A block 'A' takes 2 s to slide down a frictionless incline of 30$$^\circ$$ and length 'l', kept inside a lift going up w
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The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing
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A body of mass $$\mathrm{m}$$ is projected with velocity $$\lambda \,v_{\mathrm{e}}$$ in vertically upward direction fro
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A steel wire of length $$3.2 \mathrm{~m}\left(\mathrm{Y}_{\mathrm{s}}=2.0 \times 10^{11} \,\mathrm{Nm}^{-2}\right)$$ and
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Which statements are correct about degrees of freedom ? (A) A molecule with n degrees of freedom has n$$^{2}$$ different
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A charge of $$4 \,\mu \mathrm{C}$$ is to be divided into two. The distance between the two divided charges is constant.
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(A) The drift velocity of electrons decreases with the increase in the temperature of conductor. (B) The drift velocity
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A cyclotron is used to accelerate protons. If the operating magnetic field is $$1.0 \mathrm{~T}$$ and the radius of the
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A series LCR circuit has $$\mathrm{L}=0.01\, \mathrm{H}, \mathrm{R}=10\, \Omega$$ and $$\mathrm{C}=1 \mu \mathrm{F}$$ an
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Identify the correct statements from the following descriptions of various properties of electromagnetic waves. (A) In a
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Two coherent sources of light interfere. The intensity ratio of two sources is $$1: 4$$. For this interference pattern i
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With reference to the observations in photo-electric effect, identify the correct statements from below : (A) The square
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In an experiment to determine the Young's modulus, steel wires of five different lengths $$(1,2,3,4$$, and $$5 \mathrm{~
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In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanom
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A thin prism of angle $$6^{\circ}$$ and refractive index for yellow light $$\left(\mathrm{n}_{\mathrm{Y}}\right) 1.5$$ i
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A conducting circular loop is placed in $$X-Y$$ plane in presence of magnetic field $$\overrightarrow{\mathrm{B}}=\left(
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As show in the figure, in steady state, the charge stored in the capacitor is ____________ $$\times\, 10^{-6}$$ C.
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A parallel plate capacitor with width $$4 \mathrm{~cm}$$, length $$8 \mathrm{~cm}$$ and separation between the plates of
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A wire of length 30 cm, stretched between rigid supports, has it's nth and (n + 1)th harmonics at 400 Hz and 450 Hz, res
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A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pr
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A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance fr
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Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane AB along its
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