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

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

The correct statement about peptides and proteins is

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

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

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]

A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere B of radius $r<R$ and mass $m<M.$ Assume that the line joining their centres lies along the horizontal. The moment of inertia of the system calculated about a vertical axis passing through the centre of A is $I_{A}$ and that calculated about a vertical axis passing through the centre of B is $I_{B}$. The difference $I_{A}-I_{B}$ is: [Image Placeholder]

The lens combination as shown in the figure, consists of two lenses, $L_{1}$ and $L_{2}$, of the focal lengths +10 cm and -10 cm, respectively. The position of the image formed is: [Image Placeholder]

Three identical p-n junction diodes $D_{1}$, $D_{2}$ and $D_{3}$ are connected across a battery as shown in the figure. If the width of the depletion regions of $D_{1},$ $D_{2}$ and $D_{3}$ are $W_{1},$ $W_{2}$ and $W_{3}$, respectively, then the correct option is: [Image Placeholder]

A frictionless circular wire of unit radius is fixed on the horizontal plane. Two-point particles of unit mass start moving simultaneously from point $A(\theta=\frac{\pi}{2})$ with identical uniform angular speeds in opposite directions, and meet again at point $B(\theta=-\frac{\pi}{2})$. During this time, which of the following figures schematically represent the magnitude of the total linear momentum P of the system, as a function of $\theta$? [Image Placeholder]

Consider three media P, Q and R with refractive indices 1, 1.25, and 1.5 respectively. The medium Q having a thickness of 5 cm is placed between extended media P and R as shown in the figure. An object O is placed at the centre of medium Q. If viewed from medium P near the normal direction, the apparent depth of O is $h_1$. For similar observation from medium R, the apparent depth is $h_2$. The value of $|h_{1}-h_{2}|$, in cm, is: [Image Placeholder]

Bob B of mass m at rest is hanging vertically from the ceiling via a massless string of length 10 m, as shown in the figure. Point mass A of mass m travelling horizontally with speed $10~ms^{-1}$ hits bob B elastically. The bob B rises h meter after the collision. Taking the acceleration due to gravity $g=10~ms^{-2}$ and neglecting the size of the bob, the value of h is: [Image Placeholder]

A current $I_{0}$ flows through a metallic circular loop of radius r as shown in the figure. Resistance of the segment ABC is half that of ADC. Magnitude of magnetic field at the centre O of the loop is: [Image Placeholder]

A unit positive point charge is taken slowly through an infinitesimally thin tube that is inside a charged dielectric sphere of radius R, having uniform positive charge density $\rho$, as shown in the figure. The initial and final positions of the charge are marked by A and B at distance 2R and 3R respectively, from the centre of the sphere. In this process, the magnitude of the total work done on the point charge is $\frac{\rho R^{2}}{n\epsilon_{0}}$. The value of n is: ($\epsilon_{0}$ is the permittivity of vacuum) [Image Placeholder]

A conducting loop of finite resistance lies on the $x-y$ plane. There is a constant magnetic field in the z direction. The area of the loop varies with time t, as $A=A_{0}(1+\sin t)$ in appropriate units. The figure that correctly indicates the qualitative behaviour of the power P dissipated in the loop as a function of time is: [Image Placeholder]