JEE Main 2022 (Online) 29th July Morning Shift

A compound 'X' is acidic and it is soluble in NaOH solution, but insoluble in NaHCO3 solution. Compound 'X' also gives violet colour with neutral FeCl3 solution. The compound 'X' is :

Consider the above reaction sequence, the Product 'C' is :

In a linear tetrapeptide (Constituted with different amino acids), (number of amino acids) \(-\) (number of peptide bonds) is ________.

Which of the following pair of molecules contain odd electron molecule and an expanded octet molecule?

Number of lone pairs of electrons in the central atom of \(\mathrm{SCl}_{2}, \mathrm{O}_{3}, \mathrm{ClF}_{3}\) and \(\mathrm{SF}_{6}\), respectively, are :

The reaction between X and Y is first order with respect to X and zero order with respect to Y.

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Which of the following compounds is an example of hypnotic drug?

Which among the following is the strongest Bronsted base?

Consider the above reaction, the compound 'A' is :

Which among the following represent reagent 'A'?

Consider the following reaction sequence:

The product 'B' is :

\(\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}\) should be an inner orbital complex. Ignoring the pairing energy, the value of crystal field stabilization energy for this complex is \((-)\) ____________ \(\Delta_{0}\). (Nearest integer)

The reaction of zinc with excess of aqueous alkali, evolves hydrogen gas and gives :

In following pairs, the one in which both transition metal ions are colourless is :

In neutral or faintly alkaline medium, \(\mathrm{KMnO}_{4}\) being a powerful oxidant can oxidize, thiosulphate almost quantitatively, to sulphate. In this reaction overall change in oxidation state of manganese will be :

Resistance of a conductivity cell (cell constant \(129 \mathrm{~m}^{-1}\)) filled with \(74.5 \,\mathrm{ppm}\) solution of \(\mathrm{KCl}\) is \(100 \,\Omega\) (labelled as solution 1). When the same cell is filled with \(\mathrm{KCl}\) sol...

Which among the following pairs has only herbicides?

Which among the following pairs of the structures will give different products on ozonolysis? (Consider the double bonds in the structures are rigid and not delocalized.)

Considering the above reactions, the compound 'A' and compound 'B' respectively are :

If the solubility product of PbS is 8 \(\times\) 10\(-\)28, then the solubility of PbS in pure water at 298 K is x \(\times\) 10\(-\)16 mol L\(-\)1. The value of x is __________. (Nearest Integer)
[Given : \(\sqrt2\) = 1.41]

In metallurgy the term "gangue" is used for :

The first ionization enthalpy of Na, Mg and Si, respectively, are : 496, 737 and \(786 \mathrm{~kJ} \mathrm{~mol}^{-1}\). The first ionization enthalpy (\(\mathrm{kJ} \,\mathrm{mol}^{-1}\)) of \(\mathrm{Al}\) is :

In bromination of Propyne, with Bromine, 1, 1, 2, 2-tetrabromopropane is obtained in 27% yield. The amount of 1, 1, 2, 2-tetrabromopropane obtained from 1 g of Bromine in this reaction is ___________ \(\times\) 10\(-\)1 g. (Nearest integer)...

Lithium nitrate and sodium nitrate, when heated separately, respectively, give :

Ionic radii of cation \(\mathrm{A}^{+}\) and anion \(\mathrm{B}^{-}\) are 102 and \(181 \,\mathrm{pm}\) respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for \(\mathrm{B}^{-}\). $$...

If \(\mathrm{O}_{2}\) gas is bubbled through water at \(303 \mathrm{~K}\), the number of millimoles of \(\mathrm{O}_{2}\) gas that dissolve in 1 litre of water is __________. (Nearest Integer)
(Given : Henry's Law constant for $$\mathrm{O}_...

\(\mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightleftharpoons 2 \mathrm{NH}_{3(\mathrm{~g})}\)
\(20 \mathrm{~g} \quad ~~~5 \mathrm{~g}\)
Consider the above reaction, the limiting reagent of the reaction and number of mole...

The minimum uncertainty in the speed of an electron in an one dimensional region of length \(2 \mathrm{a}_{\mathrm{o}}\) (Where \(\mathrm{a}_{\mathrm{o}}=\) Bohr radius \(52.9 \,\mathrm{pm}\)) is _________ \(\mathrm{km} \,\mathrm{s}^{-1}\)....

\(100 \mathrm{~mL}\) of \(5 \%\,(\mathrm{w} / \mathrm{v})\) solution of \(\mathrm{NaCl}\) in water was prepared in \(250 \mathrm{~mL}\) beaker. Albumin from the egg was poured into \(\mathrm{NaCl}\) solution and stirred well. This resulted ...

When 600 mL of 0.2 M HNO3 is mixed with \(400 \mathrm{~mL}\) of 0.1 M NaOH solution in a flask, the rise in temperature of the flask is ___________ \(\times 10^{-2}{ }\,^{\circ} \mathrm{C}\).
(Enthalpy of neutralisation $$=57 \mathrm{~kJ} \...

If the foot of the perpendicular from the point \(\mathrm{A}(-1,4,3)\) on the plane \(\mathrm{P}: 2 x+\mathrm{m} y+\mathrm{n} z=4\), is \(\left(-2, \frac{7}{2}, \frac{3}{2}\right)\), then the distance of the point A from the plane P, measur...

Let a line with direction ratios \(a,-4 a,-7\) be perpendicular to the lines with direction ratios \(3,-1,2 b\) and \(b, a,-2\). If the point of intersection of the line \(\frac{x+1}{a^{2}+b^{2}}=\frac{y-2}{a^{2}-b^{2}}=\frac{z}{1}\) and th...

Let \(f(x)=3^{\left(x^{2}-2\right)^{3}+4}, x \in \mathrm{R}\). Then which of the following statements are true?
\(\mathrm{P}: x=0\) is a point of local minima of \(f\)
\(\mathrm{Q}: x=\sqrt{2}\) is a point of inflection of \(f\)
$$R: f^{\pr...

The area of the region
\(\left\{(x, y):|x-1| \leq y \leq \sqrt{5-x^{2}}\right\}\) is equal to :

Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of \(\left(\sqrt[4]{2}+\frac{1}{\sqrt[4]{3}}\right)^{\mathrm{n}}\), in the increasing powers of \(\frac{1}{\sqrt[4]{3}}\) be $$\sqrt...

Let the mirror image of a circle \(c_{1}: x^{2}+y^{2}-2 x-6 y+\alpha=0\) in line \(y=x+1\) be \(c_{2}: 5 x^{2}+5 y^{2}+10 g x+10 f y+38=0\). If \(\mathrm{r}\) is the radius of circle \(\mathrm{c}_{2}\), then \(\alpha+6 \mathrm{r}^{2}\) is e...

If \(z=2+3 i\), then \(z^{5}+(\bar{z})^{5}\) is equal to :

The integral \(\int\limits_{0}^{\frac{\pi}{2}} \frac{1}{3+2 \sin x+\cos x} \mathrm{~d} x\) is equal to :

If \(f(\alpha)=\int\limits_{1}^{\alpha} \frac{\log _{10} \mathrm{t}}{1+\mathrm{t}} \mathrm{dt}, \alpha>0\), then \(f\left(\mathrm{e}^{3}\right)+f\left(\mathrm{e}^{-3}\right)\) is equal to :

Let the solution curve \(y=y(x)\) of the differential equation \(\left(1+\mathrm{e}^{2 x}\right)\left(\frac{\mathrm{d} y}{\mathrm{~d} x}+y\right)=1\) pass through the point \(\left(0, \frac{\pi}{2}\right)\). Then, $$\lim\limits_{x \rightarr...

Let a line L pass through the point of intersection of the lines \(b x+10 y-8=0\) and \(2 x-3 y=0, \mathrm{~b} \in \mathbf{R}-\left\{\frac{4}{3}\right\}\). If the line \(\mathrm{L}\) also passes through the point \((1,1)\) and touches the c...

The angle of elevation of the top of a tower from a point A due north of it is \(\alpha\) and from a point B at a distance of 9 units due west of A is \(\cos ^{-1}\left(\frac{3}{\sqrt{13}}\right)\). If the distance of the point B from the t...

If \(\lim\limits_{x \rightarrow 0} \frac{\alpha \mathrm{e}^{x}+\beta \mathrm{e}^{-x}+\gamma \sin x}{x \sin ^{2} x}=\frac{2}{3}\), where \(\alpha, \beta, \gamma \in \mathbf{R}\), then which of the following is NOT correct?

The number of points, where the function \(f: \mathbf{R} \rightarrow \mathbf{R}\),
\(f(x)=|x-1| \cos |x-2| \sin |x-1|+(x-3)\left|x^{2}-5 x+4\right|\), is NOT differentiable, is :

The statement \((p \wedge q) \Rightarrow(p \wedge r)\) is equivalent to :

Let A and B be two \(3 \times 3\) non-zero real matrices such that AB is a zero matrix. Then

Let p and p + 2 be prime numbers and let
$$
\Delta=\left|\begin{array}{ccc}
\mathrm{p} ! & (\mathrm{p}+1) ! & (\mathrm{p}+2) ! \\
(\mathrm{p}+1) ! & (\mathrm{p}+2) ! & (\mathrm{p}+3) ! \\
(\mathrm{p}+2) ! & (\mathrm{p}+3) ! & (\mathrm{p}+4)...

Let the focal chord of the parabola \(\mathrm{P}: y^{2}=4 x\) along the line \(\mathrm{L}: y=\mathrm{m} x+\mathrm{c}, \mathrm{m}>0\) meet the parabola at the points M and N. Let the line L be a tangent to the hyperbola $$\mathrm{H}: x^{2}-y...

The number of matrices of order \(3 \times 3\), whose entries are either 0 or 1 and the sum of all the entries is a prime number, is __________.

Let \(S=\{1,2,3, \ldots, 2022\}\). Then the probability, that a randomly chosen number n from the set S such that \(\mathrm{HCF}\,(\mathrm{n}, 2022)=1\), is :