\(\mathrm{KMnO}_4\) reacts with \(\mathrm{KI}\), in basic medium to form \(\mathrm{I}_2\) and \(\mathrm{MnO}_2\). When \(250 \mathrm{~mL}\) of \(0.1 \mathrm{M} \mathrm{KI}\) solution is mixed with \(250 \mathrm{~mL}\) of \(0.02 \mathrm{M}\) \(\mathrm{KMnO}_4\) in basic medium, what is the number of moles of \(\mathrm{I}_2\) formed?

The standard reduction potentials of \(\mathrm{Zn}^{2+}\left|\mathrm{Zn}, \mathrm{Cu}^{2+}\right| \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Ag}\) are respectively \(-0.76,0.34\) and \(0.8 \mathrm{~V}\). The following cells were constructed :
(1) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Cu}^{2+}\right| \mathrm{Cu}\)
(2) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Ag}^{+}\right| \mathrm{Ag}\)
(3) \(\mathrm{Cu}\left|\mathrm{Cu}^{2+} \| \mathrm{Ag}^{+}\right| \mathrm{Ag}\)
What is the correct order of \(E_{\text {cell }}^{\circ}\) of these cells?

Maximum number of electrons theoretically possible for an orbit with principal quantum number \(n=6\) in an atom is

The growth of fish gets inhibited, if the concentration of dissolved oxygen is below \(\underline{X}\) ppm. The value of \(\mathrm{X}\) is

The pair of metals refined by "vapour phase refining" is

Dissolving \(120 \mathrm{~g}\) of a compound (mol. wt \(=60\) ) in \(1000 \mathrm{~g}\) of water gave a solution of density \(1.12 \mathrm{~g} \mathrm{~mL}^{-1}\). The molarity of solution is

A chemical \(A\) is used for the preparation of washing soda to recover ammonia. When \(\mathrm{CO}_2\) is bubbled through an aqueous solution of \(A\), the solution tums milky. It is used in white washing due to disinfectant nature. What is the chemical formula of \(A\) ?

The length of the intercept on the line $4x-3y-10=0$ by the circle ${\mathrm{x}}^2+{\mathrm{y}}^2-2\mathrm{x}+4\mathrm{y}-20=0$ is

The value of \(\int \frac{e^{\tan ^{-1}(x)}}{1+x^2}\) \(\left[\left(\sec ^{-1} \sqrt{1+x^2}\right)^2+\cos ^{-1}\left(\frac{1-x^2}{1+x^2}\right)\right] d x\), for \(x>0\) is

Three faces of a fair die are yellow, two faces are red and one face is blue. If the die is tossed 3 times, then the probability that the colours yellow, red and blue appear is (need not be in that order)

The period and group numbers of the element having maximum electronegativity in the long form of periodic table, respectively, are

If \(\sin x \cosh y=\cos \theta\) and \(\cos x \sinh y=\sin \theta\), then \(\sin ^2 x+\cosh ^2 y=\)

If \(\mathrm{n}_{\mathrm{e}}\) and \(\mathrm{n}_{\mathrm{h}}\) are concentrations of electrons and holes in a semi-conductor, then the intrinsic carrier concentration \(\left(\mathrm{n}_1\right)\) in thermal equilibrium is