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]

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: In recombinant DNA technology, lysozyme is used for disrupting bacterial cells while cellulase is for plant cells. Reason R: Isolation of genetic material needs disruption of cells. In the light of the above statements, choose the most appropriate answer from the options given below:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Forelimbs of human and bats are homologous. Reason R: Forelimbs of humans and bats have similar anatomical structure. In the light of the above statements, choose the most appropriate answer from the options given below.

Consider a population of 10 million cells. Given the per-capita birth rate of 0.002 (per unit time) and the per-capita death rate of 0.002 (per unit time), the expected number of cells after 10 generations is

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]