JEE Main 2023 (Online) 11th April Morning Shift

Arrange the following compounds in increasing order of rate of aromatic electrophilic substitution reaction

The number of hyperconjugation structures involved to stabilize carbocation formed in the above reaction is _________.

The ratio x/y on completion of the above reaction is __________.

'A' and 'B' in the above reactions are:

Thin layer chromatography of a mixture shows the following observation:

The correct order of elution in the silica gel column chromatography is

L-isomer of tetrose \(\mathrm{X}\left(\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}_{4}\right)\) gives positive Schiff's test and has two chiral carbons. On acetylation, '\(\mathrm{X}\)' yields triacetate. '\(\mathrm{X}\)' also undergoes followi...

Match List - I with List - II:

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A mixture of 1 mole of \(\mathrm{H}_{2} \mathrm{O}\) and 1 mole of \(\mathrm{CO}\) is taken in a 10 litre container and heated to \(725 \mathrm{~K}\). At equilibrium \(40 \%\) of water by mass reacts with carbon monoxide according to the eq...

\(\mathrm{KClO}_{3}+6 \mathrm{FeSO}_{4}+3 \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{KCl}+3 \mathrm{Fe}_{2}\left(\mathrm{SO}_{4}\right)_{3}+3 \mathrm{H}_{2} \mathrm{O}\)
The above reaction was studied at \(300 \mathrm{~K}\) by monit...

'X' is

The complex that dissolves in water is :

The set which does not have ambidentate ligand(s) is :

Which of the following complex has a possibility to exist as meridional isomer?

The ratio of spin-only magnetic moment values \(\mu_{\text {eff }}\left[\mathrm{Cr}(\mathrm{CN})_{6}\right]^{3-} / \mu_{\text {eff }}\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+}\) is _________.

In an electrochemical reaction of lead, at standard temperature, if \(\mathrm{E}^{0}\left(\mathrm{~Pb}^{2+} / \mathrm{Pb}\right)=\mathrm{m}\) Volt and \(\mathrm{E}^{0}\left(\mathrm{~Pb}^{4+} / \mathrm{Pb}\right)=\mathrm{n}\) Volt, then the ...

Given below are two statements:
Statement I : If BOD is 4 ppm and dissolved oxygen is 8 ppm, then it is a good quality water.
Statement II : If the concentration of zinc and nitrate salts are \(5 ~\mathrm{ppm}\) each, then it can be a good ...

Find out the correct statement from the options given below for the above 2 reactions.

Given below are two statements:
Statement-I : Methane and steam passed over a heated \(\mathrm{Ni}\) catalyst produces hydrogen gas.
Statement-II : Sodium nitrite reacts with \(\mathrm{NH}_{4} \mathrm{Cl}\) to give $$\mathrm{H}_{2} \mathrm{...

\(25 \mathrm{~mL}\) of silver nitrate solution (1M) is added dropwise to \(25 \mathrm{~mL}\) of potassium iodide \((1.05 \mathrm{M})\) solution. The ion(s) present in very small quantity in the solution is/are :

In the extraction process of copper, the product obtained after carrying out the reactions
(i) \(2 \mathrm{Cu}_{2} \mathrm{~S}+3 \mathrm{O}_{2} \rightarrow 2 \mathrm{Cu}_{2} \mathrm{O}+2 \mathrm{SO}_{2}\)
(ii) $$2 \mathrm{Cu}_{2} \mathrm{O}...

For compound having the formula \(\mathrm{GaAlCl}_{4}\), the correct option from the following is :

For elements \(\mathrm{B}, \mathrm{C}, \mathrm{N}, \mathrm{Li}, \mathrm{Be}, \mathrm{O}\) and \(\mathrm{F}\), the correct order of first ionization enthalpy is

The polymer \(\mathrm{X}\) - consists of linear molecules and is closely packed. It is prepared in the presence of triethylaluminium and titanium tetrachloride under low pressure. The polymer \(\mathrm{X}\) is-

Match List-I with List-II:

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When a solution of mixture having two inorganic salts was treated with freshly prepared ferrous sulphate in acidic medium, a dark brown ring was formed whereas on treatment with neutral \(\mathrm{FeCl}_{3}\), it gave deep red colour which d...

An atomic substance A of molar mass \(12 \mathrm{~g} \mathrm{~mol}^{-1}\) has a cubic crystal structure with edge length of \(300 ~\mathrm{pm}\). The no. of atoms present in one unit cell of \(\mathrm{A}\) is ____________. (Nearest integer)...

0.004 M K\(_2\)SO\(_4\) solution is isotonic with 0.01 M glucose solution. Percentage dissociation of K\(_2\)SO\(_4\) is ___________ (Nearest integer)

A solution of sugar is obtained by mixing \(200 \mathrm{~g}\) of its \(25 \%\) solution and \(500 \mathrm{~g}\) of its \(40 \%\) solution (both by mass). The mass percentage of the resulting sugar solution is ___________ (Nearest integer)

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : In the photoelectric effect, the electrons are ejected from the metal surface as soon as the beam of light of frequency gr...

Solid fuel used in rocket is a mixture of \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) and \(\mathrm{Al}\) (in ratio 1 : 2). The heat evolved \((\mathrm{kJ})\) per gram of the mixture is ____________. (Nearest integer)
Given: $$\Delta \mathrm{H}_{\ma...

Let \((\alpha, \beta, \gamma)\) be the image of the point \(\mathrm{P}(2,3,5)\) in the plane \(2 x+y-3 z=6\). Then \(\alpha+\beta+\gamma\) is equal to :

If equation of the plane that contains the point \((-2,3,5)\) and is perpendicular to each of the planes \(2 x+4 y+5 z=8\) and \(3 x-2 y+3 z=5\) is \(\alpha x+\beta y+\gamma z+97=0\) then \(\alpha+\beta+\gamma=\)

Let a line \(l\) pass through the origin and be perpendicular to the lines
\(l_{1}: \vec{r}=(\hat{\imath}-11 \hat{\jmath}-7 \hat{k})+\lambda(\hat{i}+2 \hat{\jmath}+3 \hat{k}), \lambda \in \mathbb{R}\) and
$$l_{2}: \vec{r}=(-\hat{\imath}+\ha...

Let \(f:[2,4] \rightarrow \mathbb{R}\) be a differentiable function such that \(\left(x \log _{e} x\right) f^{\prime}(x)+\left(\log _{e} x\right) f(x)+f(x) \geq 1, x \in[2,4]\) with \(f(2)=\frac{1}{2}\) and \(f(4)=\frac{1}{4}\).
Consider th...

Area of the region \(\left\{(x, y): x^{2}+(y-2)^{2} \leq 4, x^{2} \geq 2 y\right\}\) is

The mean of the coefficients of \(x, x^{2}, \ldots, x^{7}\) in the binomial expansion of \((2+x)^{9}\) is ___________.

The number of integral terms in the expansion of \(\left(3^{\frac{1}{2}}+5^{\frac{1}{4}}\right)^{680}\) is equal to ___________.

Let \(w_{1}\) be the point obtained by the rotation of \(z_{1}=5+4 i\) about the origin through a right angle in the anticlockwise direction, and \(w_{2}\) be the point obtained by the rotation of \(z_{2}=3+5 i\) about the origin through a ...

The value of the integral \(\int_\limits{-\log _{e} 2}^{\log _{e} 2} e^{x}\left(\log _{e}\left(e^{x}+\sqrt{1+e^{2 x}}\right)\right) d x\) is equal to :

For \(m, n > 0\), let \(\alpha(m, n)=\int_\limits{0}^{2} t^{m}(1+3 t)^{n} d t\). If \(11 \alpha(10,6)+18 \alpha(11,5)=p(14)^{6}\), then \(p\) is equal to ___________.

Let \(y=y(x)\) be a solution curve of the differential equation.
\(\left(1-x^{2} y^{2}\right) d x=y d x+x d y\).
If the line \(x=1\) intersects the curve \(y=y(x)\) at \(y=2\) and the line \(x=2\) intersects the curve \(y=y(x)\) at $$y=\alp...

Consider ellipses \(\mathrm{E}_{k}: k x^{2}+k^{2} y^{2}=1, k=1,2, \ldots, 20\). Let \(\mathrm{C}_{k}\) be the circle which touches the four chords joining the end points (one on minor axis and another on major axis) of the ellipse $$\mathrm...

Let R be a rectangle given by the lines \(x=0, x=2, y=0\) and \(y=5\). Let A\((\alpha,0)\) and B\((0,\beta),\alpha\in[0,2]\) and \(\beta\in[0,5]\), be such that the line segment AB divides the area of the rectangle R in the ratio 4 : 1. The...

Let \(\mathrm{H}_{\mathrm{n}}: \frac{x^{2}}{1+n}-\frac{y^{2}}{3+n}=1, n \in N\). Let \(\mathrm{k}\) be the smallest even value of \(\mathrm{n}\) such that the eccentricity of \(\mathrm{H}_{\mathrm{k}}\) is a rational number. If \(l\) is the...

Let \(f(x)=\left[x^{2}-x\right]+|-x+[x]|\), where \(x \in \mathbb{R}\) and \([t]\) denotes the greatest integer less than or equal to \(t\). Then, \(f\) is :

The number of integral solutions \(x\) of \(\log _{\left(x+\frac{7}{2}\right)}\left(\frac{x-7}{2 x-3}\right)^{2} \geq 0\) is :

The number of ordered triplets of the truth values of \(p, q\) and \(r\) such that the truth value of the statement \((p \vee q) \wedge(p \vee r) \Rightarrow(q \vee r)\) is True, is equal to ___________.

Let \(\mathrm{A}\) be a \(2 \times 2\) matrix with real entries such that \(\mathrm{A}'=\alpha \mathrm{A}+\mathrm{I}\), where \(\alpha \in \mathbb{R}-\{-1,1\}\). If \(\operatorname{det}\left(A^{2}-A\right)=4\), then the sum of all possible ...

Let $$A=\left[\begin{array}{lll}0 & 1 & 2 \\ a & 0 & 3 \\ 1 & c & 0\end{array}\right]$$, where \(a, c \in \mathbb{R}\). If \(A^{3}=A\) and the positive value of \(a\) belongs to the interval \((n-1, n]\), where \(n \in \mathbb{N}\), then $$...

The number of triplets \((x, \mathrm{y}, \mathrm{z})\), where \(x, \mathrm{y}, \mathrm{z}\) are distinct non negative integers satisfying \(x+y+z=15\), is :