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The compound that CANNOT be obtained from the aldol condensation reaction shown below, is [Image Placeholder]

Two moles of an ideal gas undergo free expansion from 10 L to 100 L at 300 K. The values of $\Delta S_{system}$ and $\Delta S_{surroundings}$ are (R is universal gas constant)

Identify the reactions which give aniline as the major product. [Image Placeholder] Choose the correct answer from the options given below.

Given below are two statements: Statement-I: Oxidation of p-nitrotoluene with acidic $KMnO_{4}$ gives an acid that is stronger than benzoic acid. Statement-II: Reduction of p-nitrotoluene with $Sn/HCl$ followed by neutralization gives an amine that is more basic than aniline. In light of the above statements, choose the most appropriate answer from the options given below.

The correct statement about peptides and proteins is

Given below are two statements: Statement-I: $[Fe(ox)_{3}]^{3-}$ is chiral. Statement-II: trans-$[Cr(H_{2}O)_{2}(ox)_{2}]^{-}$ is chiral. (Given: $oxH_{2}=HOOC-COOH$) In light of the above statements, choose the most appropriate answer from the options given below:

Among the following options, the correct trend in the electron gain enthalpy is

Given below are two statements: Statement-I: Heating NaCl with concentrated $H_{2}SO_{4}$ and $MnO_{2}$ results in oxidation of Mn. Statement-II: Heating NaI with concentrated $H_{2}SO_{4}$ and $MnO_{2}$ results in reduction of Mn. In light of the above statements, choose the most appropriate answer from the options given below.

One of the products formed in the following reaction is [Image Placeholder]

Given below are two statements: Statement I: trans-But-2-ene upon treatment with $Br_{2}$ in $CCl_{4}$ gives the following product. [Image Placeholder] Statement II: cis-But-2-ene upon treatment with alkaline $KMnO_{4}$ gives the following product. [Image Placeholder] In the light of the above statements, choose the most appropriate answer from the options given below.

The green paramagnetic species formed by heating $KMnO_{4}$ at 513 K is

For an elementary chemical reaction, the Arrhenius plot is given below. [Image Placeholder] If the energy of activation is $6.64~kJ~mol^{-1}$ and $R=8.3~J~K^{-1}mol^{-1}$, the temperature at which the rate constant becomes $e^{2}min^{-1}$, is

The lanthanide ion having four unpaired electrons is (Given: Atomic numbers of $Ce=58$, $Nd=60$, $Tb=65$ and $Ho=67$)

The formula of tetraammineaquachloridocobalt(III) chloride is

Consider the following reaction, and choose the correct option. [Image Placeholder]

Consider a spring-mass simple harmonic oscillator in one dimension. The mass of the particle is $m$ kg and the spring constant is $k~Nm^{-1}$. At a given instant, the extension of the spring is $x$-meter and the speed of the particle is $v~ms^{-1}$. On the $x-v$ plane, if the graph of $v$ as a function of $x$ is a circle, then the correct option is:

Two infinitely long parallel conducting wires A and B carry currents $I$ and $2I$, respectively, in the same direction. The wire A has uniform mass per unit length $\lambda$ and lies on an insulated floor. The wire B is kept fixed at a height $h$ above the floor. The minimum magnitude of $h$ so that the wire A does not rise from the floor is: [$g$ is the acceleration due to gravity and $\mu_{0}$ is the permeability of free space.]

One mole of an ideal monatomic gas undergoes a cyclic process as shown in the figure. The total heat supplied to the gas is: [Image Placeholder]

In Geiger-Marsden experiment, the number of scattered $\alpha$-particles $N(\theta)$ is plotted as a function of scattering angle $\theta$. Which of the following options represents the correct plot? [Image Placeholder]

A point charge Q is placed inside a cavity within a solid isolated conducting sphere. Consider points A, B and C as shown in the figure, where the magnitudes of the electric fields are $E_{A},$ $E_{B}$, $E_{C},$ respectively. The points B and C are at the same distance from the center of the solid sphere. The correct option is : [Image Placeholder]