JEE Main 2023 (Online) 13th April Evening Shift

The major product for the following reaction is:

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Order of acidic nature of the following compounds is A > B > C.

Reason R : Fluoro is a stronger electron withdrawing group ...

Given below are two statements :
Statement I : Tropolone is an aromatic compound and has \(8 \pi\) electrons.
Statement II : \(\pi\) electrons of \(> \mathrm{C}=\mathrm{O}\) group in tropolone is involved in aromaticity.
In the light of th...

The naturally occurring amino acid that contains only one basic functional group in its chemical structure is

Given below are two statements :
Statement I : \(\mathrm{SO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O}\) both possess V-shaped structure.
Statement II : The bond angle of \(\mathrm{SO}_{2}\) is less than that of \(\mathrm{H}_{2} \mathrm{O}\).
I...

A(g) \(\to\) 2B(g) + C(g) is a first order reaction. The initial pressure of the system was found to be 800 mm Hg which increased to 1600 mm Hg after 10 min. The total pressure of the system after 30 min will be _________ mm Hg. (Nearest in...

Compound \(\mathrm{A}\) from the following reaction sequence is:

Match List I with List II
1 - Bromopropane is reacted with reagents in List I to give product in List II

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The total number of stereoisomers for the complex \(\left[\mathrm{Cr}(o x)_{2} \mathrm{ClBr}\right]^{3-}\) (where \(o x=\) oxalate) is :

Which of the following complexes will exhibit maximum attraction to an applied magnetic field?

At \(298 \mathrm{~K}\), the standard reduction potential for \(\mathrm{Cu}^{2+} / \mathrm{Cu}\) electrode is \(0.34 \mathrm{~V}\).
Given : \(\mathrm{K}_{\mathrm{sp}} \mathrm{Cu}(\mathrm{OH})_{2}=1 \times 10^{-20}\)
Take $$\frac{2.303 \mathr...

Which of the following are the Green house gases?
A. Water vapour
B. Ozone
C. I\(_2\)
D. Molecular hydrogen
Choose the most appropriate answer from the options given below :

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Isotopes of hydrogen have almost same chemical properties, but difference in their rates of reaction.
Reason R : Isotopes of...

20 mL of \(0.1 ~\mathrm{M} ~\mathrm{NaOH}\) is added to \(50 \mathrm{~mL}\) of \(0.1 ~\mathrm{M}\) acetic acid solution. The \(\mathrm{pH}\) of the resulting solution is ___________ \(\times 10^{-2}\) (Nearest integer)
Given : $$\mathrm{pKa...

Given below are two statements related to Ellingham diagram:
Statement I : Ellingham diagrams can be constructed for formation of oxides, sulfides and halides of metals.
Statement II : It consists of plots of $$\Delta_{\mathrm{f}} \mathrm{H...

The correct group of halide ions which can be oxidised by oxygen in acidic medium is :

The covalency and oxidation state respectively of boron in \(\left[\mathrm{BF}_{4}\right]^{-}\), are :

If the formula of Borax is \(\mathrm{Na_2B_4O_x(OH)_y~.~zH_2O}\), then \(x+y+z=\) ___________

Match List I with List II

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...

\(0.400 \mathrm{~g}\) of an organic compound \((\mathrm{X})\) gave \(0.376 \mathrm{~g}\) of \(\mathrm{AgBr}\) in Carius method for estimation of bromine. \(\%\) of bromine in the compound \((\mathrm{X})\) is ___________.
(Given: Molar mass ...

See the following chemical reaction:
\(\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}+\mathrm{XH}^{+}+6 \mathrm{~F}_{e}^{2+} \rightarrow \mathrm{YCr}^{3+}+6 \mathrm{~F}_{e}^{3+}+\mathrm{Z} \mathrm{H}_{2} \mathrm{O}\)
The sum of $$\mathrm{X}, \mathrm{Y...

Better method for preparation of \(\mathrm{BeF}_{2}\), among the following is :

Identify the correct order of standard enthalpy of formation of sodium halides :

In the wet tests for detection of various cations by precipitation, \(\mathrm{Ba}^{2+}\) cations are detected by obtaining precipitate of

Sodium metal crystallizes in a body centred cubic lattice with unit cell edge length of \(4~\mathop A\limits^o\). The radius of sodium atom is __________ \(\times ~10^{-1}\) \(\mathop A\limits^o\) (Nearest integer)

Sea water contains \(29.25 \% ~\mathrm{NaCl}\) and \(19 \% ~\mathrm{MgCl}_{2}\) by weight of solution. The normal boiling point of the sea water is _____________ \({ }^{\circ} \mathrm{C}\) (Nearest integer)
Assume \(100 \%\) ionization for ...

\(1 \mathrm{~g}\) of a carbonate \(\left(\mathrm{M}_{2} \mathrm{CO}_{3}\right)\) on treatment with excess \(\mathrm{HCl}\) produces \(0.01 \mathrm{~mol}\) of \(\mathrm{CO}_{2}\). The molar mass of \(\mathrm{M}_{2} \mathrm{CO}_{3}\) is _____...

The orbital angular momentum of an electron in \(3 \mathrm{~s}\) orbital is \(\frac{x h}{2 \pi}\). The value of \(x\) is ____________ (nearest integer)

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The diameter of colloidal particles in solution should not be much smaller than wavelength of light to show Tyndall effect.
...

What happens when methane undergoes combustion in systems A and B respectively?

The line, that is coplanar to the line \(\frac{x+3}{-3}=\frac{y-1}{1}=\frac{z-5}{5}\), is :

The plane, passing through the points \((0,-1,2)\) and \((-1,2,1)\) and parallel to the line passing through \((5,1,-7)\) and \((1,-1,-1)\), also passes through the point :

Let \(\mathrm{N}\) be the foot of perpendicular from the point \(\mathrm{P}(1,-2,3)\) on the line passing through the points \((4,5,8)\) and \((1,-7,5)\). Then the distance of \(N\) from the plane \(2 x-2 y+z+5=0\) is :

The area of the region \(\left\{(x, y): x^{2} \leq y \leq\left|x^{2}-4\right|, y \geq 1\right\}\) is

The coefficient of \(x^{5}\) in the expansion of \(\left(2 x^{3}-\frac{1}{3 x^{2}}\right)^{5}\) is :

The remainder, when \(7^{103}\) is divided by 17, is __________

Let the centre of a circle C be \((\alpha, \beta)\) and its radius \(r < 8\). Let \(3 x+4 y=24\) and \(3 x-4 y=32\) be two tangents and \(4 x+3 y=1\) be a normal to C. Then \((\alpha-\beta+r)\) is equal to :

Let \(S=\left\{z \in \mathbb{C}: \bar{z}=i\left(z^{2}+\operatorname{Re}(\bar{z})\right)\right\}\). Then \(\sum_\limits{z \in \mathrm{S}}|z|^{2}\) is equal to :

The value of \({{{e^{ - {\pi \over 4}}} + \int\limits_0^{{\pi \over 4}} {{e^{ - x}}{{\tan }^{50}}xdx} } \over {\int\limits_0^{{\pi \over 4}} {{e^{ - x}}({{\tan }^{49}}x + {{\tan }^{51}}x)dx} }}\) is

Let \(f_{n}=\int_\limits{0}^{\frac{\pi}{2}}\left(\sum_\limits{k=1}^{n} \sin ^{k-1} x\right)\left(\sum_\limits{k=1}^{n}(2 k-1) \sin ^{k-1} x\right) \cos x d x, n \in \mathbb{N}\). Then \(f_{21}-f_{20}\) is equal to _________

If \(y=y(x)\) is the solution of the differential equation \(\frac{d y}{d x}+\frac{4 x}{\left(x^{2}-1\right)} y=\frac{x+2}{\left(x^{2}-1\right)^{\frac{5}{2}}}, x > 1\) such that $$y(2)=\frac{2}{9} \log _{e}(2+\sqrt{3}) \text { and } y(\sqrt...

Let \(f(x)=\sum_\limits{k=1}^{10} k x^{k}, x \in \mathbb{R}\). If \(2 f(2)+f^{\prime}(2)=119(2)^{\mathrm{n}}+1\) then \(\mathrm{n}\) is equal to ___________

The range of \(f(x)=4 \sin ^{-1}\left(\frac{x^{2}}{x^{2}+1}\right)\) is

The foci of a hyperbola are \(( \pm 2,0)\) and its eccentricity is \(\frac{3}{2}\). A tangent, perpendicular to the line \(2 x+3 y=6\), is drawn at a point in the first quadrant on the hyperbola. If the intercepts made by the tangent on the...

For \(x \in(-1,1]\), the number of solutions of the equation \(\sin ^{-1} x=2 \tan ^{-1} x\) is equal to __________.

If \(\lim_\limits{x \rightarrow 0} \frac{e^{a x}-\cos (b x)-\frac{cx e^{-c x}}{2}}{1-\cos (2 x)}=17\), then \(5 a^{2}+b^{2}\) is equal to

The statement \((p \wedge(\sim q)) \vee((\sim p) \wedge q) \vee((\sim p) \wedge(\sim q))\) is equivalent to _________.

Let for \(A = \left[ {\matrix{ 1 & 2 & 3 \cr \alpha & 3 & 1 \cr 1 & 1 & 2 \cr } } \right],|A| = 2\). If \(\mathrm{|2\,adj\,(2\,adj\,(2A))| = {32^n}}\), then \(3n + \alpha\) is equal to

If the system of equations
\(2 x+y-z=5\)
\(2 x-5 y+\lambda z=\mu\)
\(x+2 y-5 z=7\)
has infinitely many solutions, then \((\lambda+\mu)^{2}+(\lambda-\mu)^{2}\) is equal to

All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with serial numbers. The serial number of the word MONDAY is :