COMEDK 2024 EVENING SHIFT

Four resistors, each of resistance R, are connected as shown in the figure below.

What is the quantity of charge, in Faraday units, required for the reduction of 3.5 moles of \(\mathrm{Cr}_2 \mathrm{O} 7^{2-}\) in acid medium?

Two finite sets have '\(m\)' and '\(n\)' number of elements respectively. The total number of subsets of the first set is 112 more than the total number of subsets of the second set. Then the values of \(\mathrm{m}\) and \(\mathrm{n}\) are respectively.

The dimension \([\mathrm{ML}^{-1} \mathrm{~T}^{-2}]\) is the physical quantity of

Arrange the following redox couples in the increasing order of their reducing strength:

$$\begin{array}{ll} \[{[\mathrm{A}]=\mathrm{Cu} / \mathrm{Cu}^{2+}} & \mathrm{E}^0=-0.34 \mathrm{~V} \\\] \[{[\mathrm{~B}]=\mathrm{Ag} / \mathrm{Ag}^{+}} & \mathrm{E}^0=-0.8 \mathrm{~V} \\\] \[{[\mathrm{C}]=\mathrm{Ca} / \mathrm{Ca}^{2+}} & \mathrm{E}^0=+2.87 \mathrm{~V} \\\] \[{[\mathrm{D}]=\mathrm{Cr} / \mathrm{Cr}^{3+}} & \mathrm{E}^0=+0.74 \mathrm{~V}\] \end{array}$$

The mean of five observations is 4 and their variance is 5.2 . If three of these observations are 1, 2 and 6, then the other two observations are