MCQ_SINGLE

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.]

MCQ_SINGLE

A particle of mass M moves along a horizontal x axis from $x=0$ to $x=L$. The coefficient of kinetic friction varies as a function of x as $\mu_{k}(x)=\mu_{0}-\alpha x,$ where $\mu_0$, $\alpha$ are constants of appropriate dimensions, so that $\mu_{k}(L)=0$. The total work done by the frictional force during the motion is $n\mu_0 MgL$, where g is the acceleration due to gravity. The value of n is:

MCQ_SINGLE

The following carbocation is stabilized by the interaction of the empty p orbital with

MCQ_SINGLE

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

MCQ_SINGLE

Consider the following statements about the solutions formed by mixing two liquids. A. An ideal solution thus formed obeys Raoult's law throughout the composition range. B. Mixture of chloroform and acetone shows negative deviation from Raoult's law. C. Mixture of aniline and phenol shows positive deviation from Raoult's law. Choose the correct option:

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