JEE Main 2023 (Online) 6th April Evening Shift

The strongest acid from the following is

Among the following, the number of compounds which will give positive iodoform reaction is _________
(a) 1-Phenylbutan-2-one
(b) 2-Methylbutan-2-ol
(c) 3-Methylbutan-2-ol
(d) 1-Phenylethanol
(e) 3,3-dimethylbutan-2-one
(f) 1-Phenylpropan-2-...

From the figure of column chromatography given below, identify incorrect statements.

A. Compound 'c' is more polar than 'a' and 'b'
B. Compound '\(\mathrm{a}\)' is least polar
C. Compound 'b' comes out of the column before 'c' and after 'a...

Match List I with List II

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The number of species having a square planar shape from the following is __________.
$$\mathrm{XeF}_{4}, \mathrm{SF}_{4}, \mathrm{SiF}_{4}, \mathrm{BF}_{4}^{-}, \mathrm{BrF}_{4}^{-},\left[\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}\right]^{...

In an ice crystal, each water molecule is hydrogen bonded to ____________ neighbouring molecules.

The equilibrium composition for the reaction \(\mathrm{PCl}_{3}+\mathrm{Cl}_{2} \rightleftharpoons \mathrm{PCl}_{5}\) at \(298 \mathrm{~K}\) is given below:
$$\left[\mathrm{PCl}_{3}\right]_{\mathrm{eq}}=0.2 \mathrm{~mol} \mathrm{~L}^{-1},\l...

Consider the following reaction that goes from A to B in three steps as shown below:

Choose the correct option

The group of chemicals used as pesticide is :

Given below are two statements:
Statement I: Morphine is a narcotic analgesic. It helps in relieving pain without producing sleep.
Statement II: Morphine and its derivatives are obtained from opium poppy.
In the light of the above statement...

Number of isomeric aromatic amines with molecular formula \(\mathrm{C}_{8} \mathrm{H}_{11} \mathrm{~N}\), which can be synthesized by Gabriel Phthalimide synthesis is ____________.

The IUPAC name of \(\mathrm{K}_{3}\left[\mathrm{Co}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]\) is:-

Element not present in Nessler's reagent is :

Given below are two statements: one is labelled as "Assertion A" and the other is labelled as "Reason R"
Assertion A : In the complex \(\mathrm{Ni}(\mathrm{CO})_{4}\) and \(\mathrm{Fe}(\mathrm{CO})_{5}\), the metals have zero oxidation sta...

During the reaction of permanganate with thiosulphate, the change in oxidation of manganese occurs by value of 3. Identify which of the below medium will favour the reaction.

The standard reduction potentials at \(298 \mathrm{~K}\) for the following half cells are given below:
$$\mathrm{NO}_{3}^{-}+4 \mathrm{H}^{+}+3 \mathrm{e}^{-} \rightarrow \mathrm{NO}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O} \quad \mathrm{E}^...

Find out the major product from the following reaction.

In the following reaction, 'B' is

Which one of the following elements will remain as liquid inside pure boiling water?

Group-13 elements react with \(\mathrm{O}_{2}\) in amorphous form to form oxides of type \(\mathrm{M}_{2} \mathrm{O}_{3}~(\mathrm{M}=\) element). Which among the following is the most basic oxide?

The product, which is not obtained during the electrolysis of brine solution is :

Ion having highest hydration enthalpy among the given alkaline earth metal ions is :

Structures of \(\mathrm{BeCl}_{2}\) in solid state, vapour phase and at very high temperature respectively are :

Formation of which complex, among the following, is not a confirmatory test of \(\mathrm{Pb}^{2+}\) ions :

Number of crystal systems from the following where body centred unit cell can be found, is ____________.
Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic

Consider the following pairs of solution which will be isotonic at the same temperature. The number of pairs of solutions is / are ___________.
A. \(1 ~\mathrm{M}\) aq. \(\mathrm{NaCl}\) and \(2 ~\mathrm{M}\) aq. urea
B. \(1 ~\mathrm{M}\) a...

The volume of \(0.02 ~\mathrm{M}\) aqueous \(\mathrm{HBr}\) required to neutralize \(10.0 \mathrm{~mL}\) of \(0.01 ~\mathrm{M}\) aqueous \(\mathrm{Ba}(\mathrm{OH})_{2}\) is (Assume complete neutralization)

If the radius of the first orbit of hydrogen atom is \(\alpha_{0}\), then de Broglie's wavelength of electron in \(3^{\text {rd }}\) orbit is :

The number of colloidal systems from the following, which will have 'liquid' as the dispersion medium, is ___________.
Gem stones, paints, smoke, cheese, milk, hair cream, insecticide sprays, froth, soap lather

Consider the following data
Heat of combustion of \(\mathrm{H}_{2}(\mathrm{g})\quad\quad=-241.8 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
Heat of combustion of \(\mathrm{C}(\mathrm{s})\quad\quad=-393.5 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
Heat of comb...

A plane P contains the line of intersection of the plane \(\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=6\) and \(\vec{r} \cdot(2 \hat{i}+3 \hat{j}+4 \hat{k})=-5\). If \(\mathrm{P}\) passes through the point \((0,2,-2)\), then the square of dista...

Let the line \(\mathrm{L}\) pass through the point \((0,1,2)\), intersect the line \(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}\) and be parallel to the plane \(2 x+y-3 z=4\). Then the distance of the point \(\mathrm{P}(1,-9,2)\) from the li...

If the lines \(\frac{x-1}{2}=\frac{2-y}{-3}=\frac{z-3}{\alpha}\) and \(\frac{x-4}{5}=\frac{y-1}{2}=\frac{z}{\beta}\) intersect, then the magnitude of the minimum value of \(8 \alpha \beta\) is _____________.

Let a curve \(y=f(x), x \in(0, \infty)\) pass through the points \(P\left(1, \frac{3}{2}\right)\) and \(Q\left(a, \frac{1}{2}\right)\). If the tangent at any point \(R(b, f(b))\) to the given curve cuts the \(\mathrm{y}\)-axis at the point ...

The number of points, where the curve \(y=x^{5}-20 x^{3}+50 x+2\) crosses the \(\mathrm{x}\)-axis, is ____________.

The area bounded by the curves \(y=|x-1|+|x-2|\) and \(y=3\) is equal to :

If the coefficient of \({x^7}\) in \({\left( {a{x^2} + {1 \over {2bx}}} \right)^{11}}\) and \({x^{ - 7}}\) in \({\left( {ax - {1 \over {3b{x^2}}}} \right)^{11}}\) are equal, then :

Among the statements :
(S1) : \(2023^{2022}-1999^{2022}\) is divisible by 8
(S2) : \(13(13)^{n}-12 n-13\) is divisible by 144 for infinitely many \(n \in \mathbb{N}\)

If the tangents at the points \(\mathrm{P}\) and \(\mathrm{Q}\) on the circle \(x^{2}+y^{2}-2 x+y=5\) meet at the point \(R\left(\frac{9}{4}, 2\right)\), then the area of the triangle \(\mathrm{PQR}\) is :

Let \(a \neq b\) be two non-zero real numbers. Then the number of elements in the set \(X=\left\{z \in \mathbb{C}: \operatorname{Re}\left(a z^{2}+b z\right)=a\right.\) and \(\left.\operatorname{Re}\left(b z^{2}+a z\right)=b\right\}\) is equ...

For \(\alpha, \beta, z \in \mathbb{C}\) and \(\lambda > 1\), if \(\sqrt{\lambda-1}\) is the radius of the circle \(|z-\alpha|^{2}+|z-\beta|^{2}=2 \lambda\), then \(|\alpha-\beta|\) is equal to __________.

Let \(f(x)\) be a function satisfying \(f(x)+f(\pi-x)=\pi^{2}, \forall x \in \mathbb{R}\). Then \(\int_\limits{0}^{\pi} f(x) \sin x d x\) is equal to :

\(\lim _\limits{n \rightarrow \infty}\left\{\left(2^{\frac{1}{2}}-2^{\frac{1}{3}}\right)\left(2^{\frac{1}{2}}-2^{\frac{1}{5}}\right) \ldots . .\left(2^{\frac{1}{2}}-2^{\frac{1}{2 n+1}}\right)\right\}\) is equal to :

Let \(f(x)=\frac{x}{\left(1+x^{n}\right)^{\frac{1}{n}}}, x \in \mathbb{R}-\{-1\}, n \in \mathbb{N}, n > 2\).
If \(f^{n}(x)=\left(f \circ f \circ f \ldots .\right.\). upto \(n\) times) \((x)\), then
$$\lim _\limits{n \rightarrow \infty} \in...

If the solution curve \(f(x, y)=0\) of the differential equation
\(\left(1+\log _{e} x\right) \frac{d x}{d y}-x \log _{e} x=e^{y}, x > 0\),
passes through the points \((1,0)\) and \((\alpha, 2)\), then \(\alpha^{\alpha}\) is equal to :

In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If the number of persons, who speak only English is \(\alpha\) and the number of persons who speak only Hindi is \(\beta\),...

Let the sets A and B denote the domain and range respectively of the function \(f(x)=\frac{1}{\sqrt{\lceil x\rceil-x}}\), where \(\lceil x\rceil\) denotes the smallest integer greater than or equal to \(x\). Then among the statements
(S1) :...

Let the eccentricity of an ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) is reciprocal to that of the hyperbola \(2 x^{2}-2 y^{2}=1\). If the ellipse intersects the hyperbola at right angles, then square of length of the latus-rectu...

Among the statements
(S1) : \((p \Rightarrow q) \vee((\sim p) \wedge q)\) is a tautology
(S2) : \((q \Rightarrow p) \Rightarrow((\sim p) \wedge q)\) is a contradiction

Let \(P\) be a square matrix such that \(P^{2}=I-P\). For \(\alpha, \beta, \gamma, \delta \in \mathbb{N}\), if \(P^{\alpha}+P^{\beta}=\gamma I-29 P\) and \(P^{\alpha}-P^{\beta}=\delta I-13 P\), then \(\alpha+\beta+\gamma-\delta\) is equal t...