JEE Main 2022 (Online) 27th June Morning Shift

'A' and 'B' respectively are:

Which of the following reactions will yield benzaldehyde as a product?

Total number of possible stereoisomers of dimethyl cyclopentane is ____________.

L-isomer of a compound 'A' (C4H8O4) gives a positive test with [Ag(NH3)2]+. Treatment of 'A' with acetic anhydride yields triacetate derivative. Compound 'A' produces an optically active compound (B) and an optically inactive compound (C) o...

Based upon VSEPR theory, match the shape (geometry) of the molecules in List-I with the molecules in List-II and select the most appropriate option.

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2NOCl(g) \(\rightleftharpoons\) 2NO(g) + Cl2(g)
In an experiment, 2.0 moles of NOCl was placed in a one-litre flask and the concentration of NO after equilibrium established, was found to be 0.4 mol/L. The equilibrium constant at 30$$^\circ...

The rate constant for a first order reaction is given by the following equation:
\(\ln k = 33.24 - {{2.0 \times {{10}^4}\,K} \over T}\)
The activation energy for the reaction is given by ____________ kJ mol\(-\)1. (In nearest integer) (Give...

Match List - I with List - II.

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Given below are two statements :
Statement I : In Hofmann degradation reaction, the migration of only an alkyl group takes place from carbonyl carbon of the amide to the nitrogen atom.
Statement II : The group is migrated in Hofmann degrada...

Which of the following will have maximum stabilization due to crystal field?

Acidified potassium permanganate solution oxidises oxalic acid. The spin-only magnetic moment of the manganese product formed from the above reaction is ____________ B.M. (Nearest integer)

The number of statements correct from the following for Copper (at. no. 29) is/are ____________.
(A) Cu(II) complexes are always paramagnetic.
(B) Cu(I) complexes are generally colourless
(C) Cu(I) is easily oxidized
(D) In Fehling solution...

The limiting molar conductivities of NaI, NaNO3 and AgNO3 are 12.7, 12.0 and 13.3 mS m2 mol\(-\)1, respectively (all at 25\(^\circ\)C). The limiting molar conductivity of AgI at this temperature is ____________ mS m2 mol\(-\)1.

Given below are two Statements:
Statement I : Classical smog occurs in cool humid climate. It is a reducing mixture of smoke, fog and sulphur dioxide.
Statement II : Photochemical smog has components, ozone, nitric oxide, acrolein, formalde...

The major product of the following reaction is :

Match List-I with List-II

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Which of the following is structure of a separating funnel?

Match List - I with List - II.

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Heating white phosphorus with conc. NaOH solution gives mainly :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The ionic radii of O2\(-\) and Mg2+ are same.
Reason (R) : Both O2\(-\) and Mg2+ are isoelectronic species.
In the li...

Match List - I with List - II

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Addition of H2SO4 to BaO2 produces :

BeCl2 reacts with LiAlH4 to give :

Metal deficiency defect is shown by Fe0.93O. In the crystal, some Fe2+ cations are missing and loss of positive charge is compensated by the presence of Fe3+ ions. The percentage of Fe2+ ions in the Fe0.93O crystals is __________. (Nearest ...

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : At 10\(^\circ\)C, the density of a 5 M solution of KCl [atomic masses of K & Cl are 39 & 35.5 g mol\(-\)1 respectivel...

2 g of a non-volatile non-electrolyte solute is dissolved in
200 g of two different solvents A and B whose ebullioscopic constants are in the ratio of 1 : 8. The elevation in boiling points of A and B are in the ratio \({x \over y}\) (x :...

Two elements A and B which form 0.15 moles of A2B and AB3 type compounds. If both A2B and AB3 weigh equally, then the atomic weight of A is _____________ times of atomic weight of B.

If the uncertainty in velocity and position of a minute particle in space are, 2.4 \(\times\) 10\(-\)26 (m s\(-\)1) and 10\(-\)7 (m) respectively. The mass of the particle in g is ____________. (Nearest integer)
(Given : h = 6.626 $$\times$...

Match List-I with List-II

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Match List-I with List-II.

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If two straight lines whose direction cosines are given by the relations \(l + m - n = 0\), \(3{l^2} + {m^2} + cnl = 0\) are parallel, then the positive value of c is :

Let the mirror image of the point (a, b, c) with respect to the plane 3x \(-\) 4y + 12z + 19 = 0 be (a \(-\) 6, \(\beta\), \(\gamma\)). If a + b + c = 5, then 7\(\beta\) \(-\) 9\(\gamma\) is equal to ______________.

Let
\({A_1} = \left\{ {(x,y):|x| \le {y^2},|x| + 2y \le 8} \right\}\) and
\({A_2} = \left\{ {(x,y):|x| + |y| \le k} \right\}\). If 27 (Area A1) = 5 (Area A2), then k is equal to :

If the coefficient of x10 in the binomial expansion of \({\left( {{{\sqrt x } \over {{5^{{1 \over 4}}}}} + {{\sqrt 5 } \over {{x^{{1 \over 3}}}}}} \right)^{60}}\) is \({5^k}\,.\,l\), where l, k \(\in\) N and l is co-prime to 5, then k is eq...

A rectangle R with end points of one of its sides as (1, 2) and (3, 6) is inscribed in a circle. If the equation of a diameter of the circle is 2x \(-\) y + 4 = 0, then the area of R is ____________.

The area of the polygon, whose vertices are the non-real roots of the equation \(\overline z = i{z^2}\) is :

The value of the integral \(\int\limits_{ - 2}^2 {{{|{x^3} + x|} \over {({e^{x|x|}} + 1)}}dx}\) is equal to :

Let \({{dy} \over {dx}} = {{ax - by + a} \over {bx + cy + a}}\), where a, b, c are constants, represent a circle passing through the point (2, 5). Then the shortest distance of the point (11, 6) from this circle is :

If \({{dy} \over {dx}} + {{{2^{x - y}}({2^y} - 1)} \over {{2^x} - 1}} = 0\), x, y > 0, y(1) = 1, then y(2) is equal to :

If \({\cos ^{ - 1}}\left( {{y \over 2}} \right) = {\log _e}{\left( {{x \over 5}} \right)^5},\,|y| < 2\), then :

Let the eccentricity of an ellipse \({{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1\), \(a > b\), be \({1 \over 4}\). If this ellipse passes through the point \(\left( { - 4\sqrt {{2 \over 5}} ,3} \right)\), then \({a^2} + {b^2}\) is...

Let f : R \(\to\) R be a function defined by \(f(x) = {{2{e^{2x}}} \over {{e^{2x}} + e}}\). Then $$f\left( {{1 \over {100}}} \right) + f\left( {{2 \over {100}}} \right) + f\left( {{3 \over {100}}} \right) + \,\,\,.....\,\,\, + \,\,\,f\left(...

If \(\int {{{({x^2} + 1){e^x}} \over {{{(x + 1)}^2}}}dx = f(x){e^x} + C}\), where C is a constant, then \({{{d^3}f} \over {d{x^3}}}\) at x = 1 is equal to :

\({\sin ^1}\left( {\sin {{2\pi } \over 3}} \right) + {\cos ^{ - 1}}\left( {\cos {{7\pi } \over 6}} \right) + {\tan ^{ - 1}}\left( {\tan {{3\pi } \over 4}} \right)\) is equal to :

Let a be an integer such that \(\mathop {\lim }\limits_{x \to 7} {{18 - [1 - x]} \over {[x - 3a]}}\) exists, where [t] is greatest integer \(\le\) t. Then a is equal to :

The boolean expression \(( \sim (p \wedge q)) \vee q\) is equivalent to :

Let the system of linear equations \(x + 2y + z = 2\), \(\alpha x + 3y - z = \alpha\), \(- \alpha x + y + 2z = - \alpha\) be inconsistent. Then \(\alpha\) is equal to :

The positive value of the determinant of the matrix A, whose
Adj(Adj(A)) = \(\left( {\matrix{ {14} & {28} & { - 14} \cr { - 14} & {14} & {28} \cr {28} & { - 14} & {14} \cr } } \right)\), is _____________.

A circle of radius 2 unit passes through the vertex and the focus of the parabola y2 = 2x and touches the parabola \(y = {\left( {x - {1 \over 4}} \right)^2} + \alpha\), where \(\alpha\) > 0. Then (4\(\alpha\) \(-\) 8)2 is equal to _______...

The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is _____________.