JEE Main 2023 (Online) 8th April Morning Shift

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Butan -1- ol has higher boiling point than ethoxyethane.
Reason R: Extensive hydrogen bonding leads to stronger association o...

The water gas on reacting with cobalt as a catalyst forms

The major product formed in the following reaction is:

Match List I with List II:

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}...

Sulphur (S) containing amino acids from the following are:
(a) isoleucine (b) cysteine (c) lysine (d) methionine (e) glutamic acid

The number of following factors which affect the percent covalent character of the ionic bond is _________
(A) Polarising power of cation
(B) Extent of distortion of anion
(C) Polarisability of the anion
(D) Polarising power of anion

The number of given statement/s which is/are correct is __________.
(A) The stronger the temperature dependence of the rate constant, the higher is the activation energy.
(B) If a reaction has zero activation energy, its rate is independent...

Match List I with List II:

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}...

Match List I with List II:


.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;...

Which of the following complex is octahedral, diamagnetic and the most stable?

The correct order of spin only magnetic moments for the following complex ions is

Which halogen is known to cause the reaction given below :
\(2 \mathrm{Cu}^{2+}+4 \mathrm{X}^{-} \rightarrow \mathrm{Cu}_{2} \mathrm{X}_{2}(\mathrm{s})+\mathrm{X}_{2}\)

In chromyl chloride, the number of d-electrons present on chromium is same as in (Given at no. of \(\mathrm{Ti}: 22, \mathrm{~V}: 23, \mathrm{Cr}: 24, \mathrm{Mn}: 25, \mathrm{Fe}: 26\) )

The reaction
\(\frac{1}{2} \mathrm{H}_{2}(\mathrm{~g})+\mathrm{AgCl}(\mathrm{s}) \rightleftharpoons \mathrm{H}^{+}(\mathrm{aq})+\mathrm{Cl}^{-}(\mathrm{aq})+\mathrm{Ag}(\mathrm{s})\)
occurs in which of the given galvanic cell.

Match List I with List II:

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}...

Three bulbs are filled with \(\mathrm{CH}_{4}, \mathrm{CO}_{2}\) and \(\mathrm{Ne}\) as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant througho...

Choose the halogen which is most reactive towards \(\mathrm{S}_{\mathrm{N}} 1\) reaction in the given compounds (A, B, C & D)

Molar mass of the hydrocarbon (X) which on ozonolysis consumes one mole of \(\mathrm{O}_{3}\) per mole of \((\mathrm{X})\) and gives one mole each of ethanal and propanone is _________ \(\mathrm{g}~ \mathrm{mol}^{-1}\) (Molar mass of $$\mat...

The titration curve of weak acid vs. strong base with phenolphthalein as indictor) is shown below. The \(\mathrm{K}_{\text {phenolphthalein }}=4 \times 10^{-10}\).
Given: \(\log 2=0.3\)

The number of following statement/s which is/are corr...

Which of the following metals can be extracted through alkali leaching technique?

\(\mathrm{XeF}_{4}\) reacts with \(\mathrm{SbF}_{5}\) to form
\([\mathrm{XeF}_{m}]^{\mathrm{n}+}\left[\mathrm{SbF}_{y}\right]^{z-}\).
\(\mathrm{m}+\mathrm{n}+\mathrm{y}+\mathrm{z}=\) __________

The correct order of electronegativity for given elements is:

\(2 \mathrm{IO}_{3}^{-}+x \mathrm{I}^{-}+12 \mathrm{H}^{+} \rightarrow 6 \mathrm{I}_{2}+6 \mathrm{H}_{2} \mathrm{O}\)
What is the value of \(x\) ?

Given below are two statements:
Statement I : Lithium and Magnesium do not form superoxide
Statement II : The ionic radius of \(\mathrm{Li}^{+}\) is larger than ionic radius of \(\mathrm{Mg}^{2+}\)
In the light of the above statements, choo...

What is the purpose of adding gypsum to cement?

The vapour pressure vs. temperature curve for a solution solvent system is shown below.

The boiling point of the solvent is __________ \({ }^{\circ} \mathrm{C}\).

\(0.5 \mathrm{~g}\) of an organic compound \((\mathrm{X})\) with \(60 \%\) carbon will produce __________ \(\times 10^{-1} \mathrm{~g}\) of \(\mathrm{CO}_{2}\) on complete combustion.

The number of following statement/s which is/are incorrect is ___________
(A) Line emission spectra are used to study the electronic structure
(B) The emission spectra of atoms in the gas phase show a continuous spread of wavelength from re...

Which of the following represent the Freundlich adsorption isotherms?

Choose the correct answer from the options given below:

When a \(60 \mathrm{~W}\) electric heater is immersed in a gas for 100 s in a constant volume container with adiabatic walls, the temperature of the gas rises by \(5^{\circ} \mathrm{C}\). The heat capacity of the given gas is ___________ $$...

The shortest distance between the lines \(\frac{x-4}{4}=\frac{y+2}{5}=\frac{z+3}{3}\) and \(\frac{x-1}{3}=\frac{y-3}{4}=\frac{z-4}{2}\) is :

If the equation of the plane containing the line \(x+2 y+3 z-4=0=2 x+y-z+5\) and perpendicular to the plane $\vec{r}=(\hat{i}-\hat{j})+\lambda(\hat{i}+\hat{j}+\hat{k})+\mu(\hat{i}-2 \hat{j}+3 \hat{k})$ is $a x+b y+c z=4$, then \((a-b+c)\) i...

Let \(\lambda_{1}, \lambda_{2}\) be the values of \(\lambda\) for which the points \(\left(\frac{5}{2}, 1, \lambda\right)\) and \((-2,0,1)\) are at equal distance from the plane \(2 x+3 y-6 z+7=0\). If \(\lambda_{1} > \lambda_{2}\), then th...

If \(a_{\alpha}\) is the greatest term in the sequence \(\alpha_{n}=\frac{n^{3}}{n^{4}+147}, n=1,2,3, \ldots\), then \(\alpha\) is equal to _____________.

The area of the region \(\left\{(x, y): x^{2} \leq y \leq 8-x^{2}, y \leq 7\right\}\) is :

If the coefficients of three consecutive terms in the expansion of \((1+x)^{n}\) are in the ratio \(1: 5: 20\), then the coefficient of the fourth term is

Let \([t]\) denote the greatest integer \(\leq t\). If the constant term in the expansion of \(\left(3 x^{2}-\frac{1}{2 x^{5}}\right)^{7}\) is \(\alpha\), then \([\alpha]\) is equal to ___________.

The largest natural number \(n\) such that \(3^{n}\) divides \(66 !\) is ___________.

Consider a circle \(C_{1}: x^{2}+y^{2}-4 x-2 y=\alpha-5\). Let its mirror image in the line \(y=2 x+1\) be another circle \(C_{2}: 5 x^{2}+5 y^{2}-10 f x-10 g y+36=0\). Let \(r\) be the radius of \(C_{2}\). Then \(\alpha+r\) is equal to ___...

If for \(z=\alpha+i \beta,|z+2|=z+4(1+i)\), then \(\alpha+\beta\) and \(\alpha \beta\) are the roots of the equation :

Let \([t]\) denote the greatest integer \(\leq t\). Then \(\frac{2}{\pi} \int_\limits{\pi / 6}^{5 \pi / 6}(8[\operatorname{cosec} x]-5[\cot x]) d x\) is equal to __________.

If the solution curve of the differential equation \(\left(y-2 \log _{e} x\right) d x+\left(x \log _{e} x^{2}\right) d y=0, x > 1\) passes through the points \(\left(e, \frac{4}{3}\right)\) and \(\left(e^{4}, \alpha\right)\), then $$\alpha$...

Let \(f(x)=\frac{\sin x+\cos x-\sqrt{2}}{\sin x-\cos x}, x \in[0, \pi]-\left\{\frac{\pi}{4}\right\}\). Then \(f\left(\frac{7 \pi}{12}\right) f^{\prime \prime}\left(\frac{7 \pi}{12}\right)\) is equal to

Let \(I(x)=\int \frac{(x+1)}{x\left(1+x e^{x}\right)^{2}} d x, x > 0\). If \(\lim_\limits{x \rightarrow \infty} I(x)=0\), then \(I(1)\) is equal to :

\(\lim_\limits{x \rightarrow 0}\left(\left(\frac{\left(1-\cos ^{2}(3 x)\right.}{\cos ^{3}(4 x)}\right)\left(\frac{\sin ^{3}(4 x)}{\left(\log _{e}(2 x+1)\right)^{5}}\right)\right)\) is equal to _____________.

Negation of \((p \Rightarrow q) \Rightarrow(q \Rightarrow p)\) is :

Let $$A=\left[\begin{array}{ccc}2 & 1 & 0 \\ 1 & 2 & -1 \\ 0 & -1 & 2\end{array}\right]$$. If \(|\operatorname{adj}(\operatorname{adj}(\operatorname{adj} 2 A))|=(16)^{n}\), then \(n\) is equal to :

Let $$P=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right], A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]$$ and \(Q=P A P^{T}\). If $$P^{T} Q^{2007} P=\left[\begin{arra...

Let \(R\) be the focus of the parabola \(y^{2}=20 x\) and the line \(y=m x+c\) intersect the parabola at two points \(P\) and \(Q\).
Let the point \(G(10,10)\) be the centroid of the triangle \(P Q R\). If \(c-m=6\), then \((P Q)^{2}\) is ...

The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is :