JEE Main 2022 (Online) 27th July Evening Shift

Paper was held on
Wed, Jul 27, 2022 9:30 AM

## Chemistry

The correct decreasing order of energy for the orbitals having, following set of quantum numbers :
(A) n = 3, l = 0, m =

View Question Match List - I with List - II.
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View Question The plot of $$\mathrm{pH}$$-metric titration of weak base $$\mathrm{NH}_{4} \mathrm{OH}$$ vs strong acid HCl looks like

View Question Given below are two statements :
Statement I : For KI, molar conductivity increases steeply with dilution
Statement II :

View Question Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

View Question Outermost electronic configurations of four elements A, B, C, D are given below :
(A) $$3 s^{2}$$
(B) $$3 s^{2} 3 p^{1}$

View Question An element A of group 1 shows similarity to an element B belonging to group 2. If A has maximum hydration enthalpy in gr

View Question Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

View Question In neutral or alkaline solution, $$\mathrm{MnO}_{4}^{-}$$ oxidises thiosulphate to :

View Question Low oxidation state of metals in their complexes are common when ligands :

View Question Given below are two statements:
Statement I : The non bio-degradable fly ash and slag from steel industry can be used by

View Question The structure of A in the given reaction is :

View Question Major product '$$\mathrm{B}$$' of the following reaction sequence is :

View Question Match List - I with List - II.
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View Question Match List - I with List - II.
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View Question An organic compound $$'\mathrm{A}'$$ contains nitrogen and chlorine. It dissolves readily in water to give a solution th

View Question Match List - I with Match List - II.
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View Question Which of the following enhances the lathering property of soap?

View Question $$\mathrm{Fe}^{3+}$$ cation gives a prussian blue precipitate on addition of potassium ferrocyanide solution due to the

View Question The normality of $$\mathrm{H}_{2} \mathrm{SO}_{4}$$ in the solution obtained on mixing $$100 \mathrm{~mL}$$ of $$0.1 \,\

View Question For a real gas at $$25^{\circ} \mathrm{C}$$ temperature and high pressure (99 bar) the value of compressibility factor i

View Question A gas (Molar mass = 280 $$\mathrm{~g} \mathrm{~mol}^{-1}$$) was burnt in excess $$\mathrm{O}_{2}$$ in a constant volume

View Question When a certain amount of solid A is dissolved in $$100 \mathrm{~g}$$ of water at $$25^{\circ} \mathrm{C}$$ to make a dil

View Question $$\matrix{
{[A]} & \to & {[B]} \cr
{{\mathop{\rm Reactant}\nolimits} } & {} & {{\mathop{\rm Product}\nolimits}

View Question Among the following ores Bauxite, Siderite, Cuprite, Calamine, Haematite, Kaolinite, Malachite, Magnetite, Sphalerite, L

View Question The oxidation state of manganese in the product obtained in a reaction of potassium permanganate and hydrogen peroxide i

View Question The number of molecule(s) or ion(s) from the following having non-planar structure is ____________.
$$\mathrm{NO}_{3}^{-

View Question The spin only magnetic moment of the complex present in Fehling's reagent is __________ B.M. (Nearest integer).

View Question
In the above reaction, $$5 \mathrm{~g}$$ of toluene is converted into benzaldehyde with $$92 \%$$ yield. The amount of

View Question ## 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

View Question Let S be the set of all $$(\alpha, \beta), \pi

View Question If $$\alpha, \beta$$ are the roots of the equation
$$
x^{2}-\left(5+3^{\sqrt{\log _{3} 5}}-5^{\sqrt{\log _{5} 3}}\right)

View Question Let $$A=\left(\begin{array}{rr}4 & -2 \\ \alpha & \beta\end{array}\right)$$.
If $$\mathrm{A}^{2}+\gamma \mathrm{A}+18 \m

View Question 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

View Question 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

View Question 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

View Question The area of the region enclosed by $$y \leq 4 x^{2}, x^{2} \leq 9 y$$ and $$y \leq 4$$, is equal to :

View Question $$\int\limits_{0}^{2}\left(\left|2 x^{2}-3 x\right|+\left[x-\frac{1}{2}\right]\right) \mathrm{d} x$$, where [t] is the g

View Question 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

View Question 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

View Question A circle $$C_{1}$$ passes through the origin $$\mathrm{O}$$ and has diameter 4 on the positive $$x$$-axis. The line $$y=

View Question If the length of the latus rectum of a parabola, whose focus is $$(a, a)$$ and the tangent at its vertex is $$x+y=a$$, i

View Question 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

View Question If the line of intersection of the planes $$a x+b y=3$$ and $$a x+b y+c z=0$$, a $$>0$$ makes an angle $$30^{\circ}$$ wi

View Question Let X have a binomial distribution B(n, p) such that the sum and the product of the mean and variance of X are 24 and 12

View Question A six faced die is biased such that
$$3 \times \mathrm{P}($$a prime number$$)\,=6 \times \mathrm{P}($$a composite number

View Question The angle of elevation of the top P of a vertical tower PQ of height 10 from a point A on the horizontal ground is $$45^

View Question Let $$S=\left\{\theta \in\left(0, \frac{\pi}{2}\right): \sum\limits_{m=1}^{9} \sec \left(\theta+(m-1) \frac{\pi}{6}\righ

View Question If the truth value of the statement $$(P \wedge(\sim R)) \rightarrow((\sim R) \wedge Q)$$ is F, then the truth value of

View Question Consider a matrix $$A=\left[\begin{array}{ccc}\alpha & \beta & \gamma \\ \alpha^{2} & \beta^{2} & \gamma^{2} \\ \beta+\g

View Question 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

View Question Let for the $$9^{\text {th }}$$ term in the binomial expansion of $$(3+6 x)^{\mathrm{n}}$$, in the increasing powers of

View Question $$
\frac{2^{3}-1^{3}}{1 \times 7}+\frac{4^{3}-3^{3}+2^{3}-1^{3}}{2 \times 11}+\frac{6^{3}-5^{3}+4^{3}-3^{3}+2^{3}-1^{3}}

View Question A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is

View Question 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

View Question Let $$f(x)=\min \{[x-1],[x-2], \ldots,[x-10]\}$$ where [t] denotes the greatest integer $$\leq \mathrm{t}$$. Then $$\int

View Question Let f be a differentiable function satisfying $$f(x)=\frac{2}{\sqrt{3}} \int\limits_{0}^{\sqrt{3}} f\left(\frac{\lambda^

View Question A common tangent $$\mathrm{T}$$ to the curves $$\mathrm{C}_{1}: \frac{x^{2}}{4}+\frac{y^{2}}{9}=1$$ and $$C_{2}: \frac{x

View Question Let $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$ be three non-coplanar vectors such that $$\ov

View Question ## Physics

An expression of energy density is given by $$u=\frac{\alpha}{\beta} \sin \left(\frac{\alpha x}{k t}\right)$$, where $$\

View Question A body of mass $$10 \mathrm{~kg}$$ is projected at an angle of $$45^{\circ}$$ with the horizontal. The trajectory of the

View Question A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with

View Question 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

View Question The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing

View Question A body of mass $$\mathrm{m}$$ is projected with velocity $$\lambda \,v_{\mathrm{e}}$$ in vertically upward direction fro

View Question A steel wire of length $$3.2 \mathrm{~m}\left(\mathrm{Y}_{\mathrm{s}}=2.0 \times 10^{11} \,\mathrm{Nm}^{-2}\right)$$ and

View Question In $$1^{\text {st }}$$ case, Carnot engine operates between temperatures $$300 \mathrm{~K}$$ and $$100 \mathrm{~K}$$. In

View Question Which statements are correct about degrees of freedom ?
(A) A molecule with n degrees of freedom has n$$^{2}$$ different

View Question A charge of $$4 \,\mu \mathrm{C}$$ is to be divided into two. The distance between the two divided charges is constant.

View Question (A) The drift velocity of electrons decreases with the increase in the temperature of conductor.
(B) The drift velocity

View Question A compass needle of oscillation magnetometer oscillates 20 times per minute at a place $$\mathrm{P}$$ of $$\operatorname

View Question A cyclotron is used to accelerate protons. If the operating magnetic field is $$1.0 \mathrm{~T}$$ and the radius of the

View Question A series LCR circuit has $$\mathrm{L}=0.01\, \mathrm{H}, \mathrm{R}=10\, \Omega$$ and $$\mathrm{C}=1 \mu \mathrm{F}$$ an

View Question Identify the correct statements from the following descriptions of various properties of electromagnetic waves.
(A) In a

View Question Two coherent sources of light interfere. The intensity ratio of two sources is $$1: 4$$. For this interference pattern i

View Question With reference to the observations in photo-electric effect, identify the correct statements from below :
(A) The square

View Question The activity of a radioactive material is $$6.4 \times 10^{-4}$$ curie. Its half life is 5 days. The activity will becom

View Question For a constant collector-emitter voltage of $$8 \mathrm{~V}$$, the collector current of a transistor reached to the valu

View Question A square wave of the modulating signal is shown in the figure. The carrier wave is given by $$C(t)=5 \sin (8 \pi t)$$ Vo

View Question In an experiment to determine the Young's modulus, steel wires of five different lengths $$(1,2,3,4$$, and $$5 \mathrm{~

View Question In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanom

View Question A thin prism of angle $$6^{\circ}$$ and refractive index for yellow light $$\left(\mathrm{n}_{\mathrm{Y}}\right) 1.5$$ i

View Question A conducting circular loop is placed in $$X-Y$$ plane in presence of magnetic field $$\overrightarrow{\mathrm{B}}=\left(

View Question As show in the figure, in steady state, the charge stored in the capacitor is ____________ $$\times\, 10^{-6}$$ C.

View Question A parallel plate capacitor with width $$4 \mathrm{~cm}$$, length $$8 \mathrm{~cm}$$ and separation between the plates of

View Question 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

View Question A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pr

View Question A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance fr

View Question Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane AB along its

View Question