JEE Main 2024 (Online) 9th April Evening Shift

Which of the following compounds will give silver mirror with ammoniacal silver nitrate?
A. Formic acid
B. Formaldehyde
C. Benzaldehyde
D. Acetone
Choose the correct answer from the options given below :

In the above reaction product 'P' is

The correct stability order of the following resonance structures of \(\mathrm{CH}_3-\mathrm{CH}=\mathrm{CH}-\mathrm{CHO}\) is

Total number of stereo isomers possible for the given structure :

The incorrect statement about Glucose is :

The correct increasing order for bond angles among \(\mathrm{BF}_3, \mathrm{PF}_3\) and \(\mathrm{ClF}_3\) is :

Total number of electrons present in \(\left(\pi^*\right)\) molecular orbitals of \(\mathrm{O}_2, \mathrm{O}_2^{+}\) and \(\mathrm{O}_2^{-}\) is ________.

Consider the following first order gas phase reaction at constant temperature \(\mathrm{A}(\mathrm{g}) \rightarrow 2 \mathrm{B}(\mathrm{~g})+\mathrm{C}(\mathrm{g})\)
If the total pressure of the gases is found to be 200 torr after 23 $$\ma...

Major product of the following reaction is

Number of compounds from the following which cannot undergo Friedel-Crafts reactions is: _________
toluene, nitrobenzene, xylene, cumene, aniline, chlorobenzene, \(m\)-nitroaniline, \(m\)-dinitrobenzene

Match List I with List II

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...

The coordination environment of \(\mathrm{Ca}^{2+}\) ion in its complex with \(\mathrm{EDTA}^{4-}\) is :

Consider the following test for a group-IV cation.
\(\mathrm{M}^{2+}+\mathrm{H}_2 \mathrm{S} \rightarrow \mathrm{A} \text { (Black precipitate)+ byproduct }\)
$$\mathrm{A}+\text { aqua regia } \rightarrow \mathrm{B}+\mathrm{NOCl}+\mathrm{S}...

The electronic configuration of Einsteinium is :
(Given atomic number of Einsteinium \(=99\))

Give below are two statements :
Statement I : The higher oxidation states are more stable down the group among transition elements unlike p-block elements.
Statement II : Copper can not liberate hydrogen from weak acids.
In the light of the...

A transition metal '\(\mathrm{M}\)' among \(\mathrm{Sc}, \mathrm{Ti}, \mathrm{V}, \mathrm{Cr}, \mathrm{Mn}\) and \(\mathrm{Fe}\) has the highest second ionisation enthalpy. The spin-only magnetic moment value of \(\mathrm{M}^{+}\) ion is __...

Match List I with List II

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...

Which out of the following is a correct equation to show change in molar conductivity with respect to concentration for a weak electrolyte, if the symbols carry their usual meaning :

The incorrect statement regarding ethyne is

For a sparingly soluble salt \(\mathrm{AB}_2\), the equilibrium concentrations of \(\mathrm{A}^{2+}\) ions and \(B^{-}\) ions are \(1.2 \times 10^{-4} \mathrm{M}\) and \(0.24 \times 10^{-3} \mathrm{M}\), respectively. The solubility product...

Number of oxygen atoms present in chemical formula of fuming sulphuric acid is ___________.

Match List I with List II

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...

Match List I with List II

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...

Which of the following compound can give positive iodoform test when treated with aqueous \(\mathrm{KOH}\) solution followed by potassium hypoiodite.

Match List I with List II

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...

In the given TLC, the distance of spot A & B are 5 cm & 7 cm, from the bottom of TLC plate, respectively.
\(\mathrm{R}_{\mathrm{f}}\) value of \(\mathrm{B}\) is \(x \times 10^{-1}\) times more than \(\mathrm{A}\). The value of \(x\) is ___...

The vapor pressure of pure benzene and methyl benzene at \(27^{\circ} \mathrm{C}\) is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapor phase, in equilibrium with an equimolar mixture of those two liqu...

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency '\(A\)' \(\times 10^{12}\) hertz and that has a radiant intensity in that direction of \(\frac{1}{{ 'B'}}\), watt per s...

Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter \(10^{-15} \mathrm{~m}\) is ________ \(\times 10^9 \mathrm{~ms}^{-1}\) (nearest integer)
[Given : ...

When \(\Delta \mathrm{H}_{\mathrm{vap}}=30 \mathrm{~kJ} / \mathrm{mol}\) and \(\Delta \mathrm{S}_{\mathrm{vap}}=75 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\), then the temperature of vapour, at one atmosphere is _________ K.

Consider the line \(\mathrm{L}\) passing through the points \((1,2,3)\) and \((2,3,5)\). The distance of the point \(\left(\frac{11}{3}, \frac{11}{3}, \frac{19}{3}\right)\) from the line \(\mathrm{L}\) along the line $$\frac{3 x-11}{2}=\fra...

The square of the distance of the image of the point \((6,1,5)\) in the line \(\frac{x-1}{3}=\frac{y}{2}=\frac{z-2}{4}\), from the origin is __________.

Let the set of all values of \(p\), for which \(f(x)=\left(p^2-6 p+8\right)\left(\sin ^2 2 x-\cos ^2 2 x\right)+2(2-p) x+7\) does not have any critical point, be the interval \((a, b)\). Then \(16 a b\) is equal to _________.

The area (in square units) of the region enclosed by the ellipse \(x^2+3 y^2=18\) in the first quadrant below the line \(y=x\) is

The sum of the coefficient of \(x^{2 / 3}\) and \(x^{-2 / 5}\) in the binomial expansion of \(\left(x^{2 / 3}+\frac{1}{2} x^{-2 / 5}\right)^9\) is

Let \(z\) be a complex number such that the real part of \(\frac{z-2 i}{z+2 i}\) is zero. Then, the maximum value of \(|z-(6+8 i)|\) is equal to

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

The integral \(\int_\limits{1 / 4}^{3 / 4} \cos \left(2 \cot ^{-1} \sqrt{\frac{1-x}{1+x}}\right) d x\) is equal to

\(\lim _\limits{x \rightarrow \frac{\pi}{2}}\left(\frac{\int_{x^3}^{(\pi / 2)^3}\left(\sin \left(2 t^{1 / 3}\right)+\cos \left(t^{1 / 3}\right)\right) d t}{\left(x-\frac{\pi}{2}\right)^2}\right)\) is equal to

Let \(\int_\limits0^x \sqrt{1-\left(y^{\prime}(t)\right)^2} d t=\int_0^x y(t) d t, 0 \leq x \leq 3, y \geq 0, y(0)=0\). Then at \(x=2, y^{\prime \prime}+y+1\) is equal to

For a differentiable function \(f: \mathbb{R} \rightarrow \mathbb{R}\), suppose \(f^{\prime}(x)=3 f(x)+\alpha\), where \(\alpha \in \mathbb{R}, f(0)=1\) and \(\lim _\limits{x \rightarrow-\infty} f(x)=7\). Then \(9 f\left(-\log _e 3\right)\)...

If \(\log _e y=3 \sin ^{-1} x\), then \((1-x^2) y^{\prime \prime}-x y^{\prime}\) at \(x=\frac{1}{2}\) is equal to

Let the range of the function \(f(x)=\frac{1}{2+\sin 3 x+\cos 3 x}, x \in \mathbb{R}\) be \([a, b]\). If \(\alpha\) and \(\beta\) ar respectively the A.M. and the G.M. of \(a\) and \(b\), then \(\frac{\alpha}{\beta}\) is equal to

Let \(A=\{(x, y): 2 x+3 y=23, x, y \in \mathbb{N}\}\) and \(B=\{x:(x, y) \in A\}\). Then the number of one-one functions from \(A\) to \(B\) is equal to _________.

Let the foci of a hyperbola \(H\) coincide with the foci of the ellipse \(E: \frac{(x-1)^2}{100}+\frac{(y-1)^2}{75}=1\) and the eccentricity of the hyperbola \(H\) be the reciprocal of the eccentricity of the ellipse \(E\). If the length of...

Let the inverse trigonometric functions take principal values. The number of real solutions of the equation \(2 \sin ^{-1} x+3 \cos ^{-1} x=\frac{2 \pi}{5}\), is __________.

\(\lim _\limits{x \rightarrow 0} \frac{e-(1+2 x)^{\frac{1}{2 x}}}{x}\) is equal to

Consider the matrices : $$A=\left[\begin{array}{cc}2 & -5 \\ 3 & m\end{array}\right], B=\left[\begin{array}{l}20 \\ m\end{array}\right]$$ and $$X=\left[\begin{array}{l}x \\ y\end{array}\right]$$. Let the set of all \(m\), for which the syst...

Let $$B=\left[\begin{array}{ll}1 & 3 \\ 1 & 5\end{array}\right]$$ and \(A\) be a \(2 \times 2\) matrix such that \(A B^{-1}=A^{-1}\). If \(B C B^{-1}=A\) and \(C^4+\alpha C^2+\beta I=O\), then \(2 \beta-\alpha\) is equal to

Let \(A, B\) and \(C\) be three points on the parabola \(y^2=6 x\) and let the line segment \(A B\) meet the line \(L\) through \(C\) parallel to the \(x\)-axis at the point \(D\). Let \(M\) and \(N\) respectively be the feet of the perpend...