IAT (IISER) 2022

\(\text {In the following reaction sequence, the major products } M, N \text {, and } O \text { respectively are }\)

Which of the following expressions represents the hydrogen atom wave function $\psi(r)$ shown in the figure below? ( $r$ is the distance of the electron from the nucleus and $a_0$ is a constant)

Identify the correct order of the molecules with respect to the magnitude of their dipole moment:

For the reaction involving ideal gases, $A(g)+2 B(g)=2 C(g)+3 D(g)$, which of the following plots is qualitatively correct? ( $K_p$ and $K_c$ are the equilibrium constants in terms of pressure and concentration respectively. $T$ is the abso...

Benzamide is treated with $\mathrm{Br}_2$ and $\mathrm{NaOH}(\mathrm{aq})$ to form the product $X$, which is then reacted with $\mathrm{NaNO}_2$ and $\mathrm{HCl}(\mathrm{aq})$ at $0-5^{\circ} \mathrm{C}$ to form $Y$. $Y$ is immediately tre...

The products of the reaction between aqueous solutions of $K_4\left[\mathrm{Fe}(\mathrm{CN})_6\right]$ and $\frac{1}{2} \mathrm{H}_2 \mathrm{O}_2$ are

For the colourless complex $\left[M\left(H_2 O\right)_6\right]^{n+}$, where $M$ is a $3 d$ transition metal, the CORRECT ground state $d$-electron configuration of $M$ is

An aqueous solution contains 1.0 M of $\mathrm{X}^{2+}$ and 0.001 M of $\mathrm{Y}^2+$ ions at $25^{\circ} \mathrm{C} . \mathrm{X}^{2+}$ and $\mathrm{Y}^{2+}$ ions do not interact with each other. This solution is put in an electrolytic cel...

\(\text { Which of the following molecules are aromatic? }\)

Which of the following are aryl bromides?

\(\text { The major product } P \text { of the following reaction is }\)

2 g of naphthoic acid (molecular weight $=172 \mathrm{~g} \mathrm{~mol}^{-} 1$ ) dissolved in 20 mL of benzene shows a freezing point depression of 2 K . For benzene, the freezing point depression constant, $K_f=5$ $\mathrm{K} \mathrm{kg} \...

Choose the correct statement about the structure of $\mathrm{C}_{60}$ fullerene

\(\text { The first to fifth ionization energies (IE) of two p-block elements } X \text { and } Y \text { are given below. }\)
$$ \begin{array}{|c|c|c|c|c|c|} \hline & \mathrm{IE}_1(\mathrm{eV}) & \mathrm{IE}_2(\mathrm{eV}) & \mathrm{IE}_...

The van der Waals equation for a real gas is given by $\left(P+\frac{a}{V^2}\right)(V-b)=R T$. What is the dimension of $\left(\frac{a}{b}\right)$ ?