If a compound \(Ab\) dissociates to the extent of \(75 \,\%\) in an aqueous solution, the molality of the solution which shows a \(2.5\, K\) rise in the boiling point of the solution is ......  molal. (Rounded-off to the nearest integer) \(\left[ K _{ b }=0.52 \,K \,kg\, mol ^{-1}\right]\)

\( MnO_{4}^{2-} \) in acidic medium, disproportionates to:

The correct statements from the following are :
(A) \(\mathrm{Tl}^{3+}\) is a powerful oxidising agent
(B) \(\mathrm{Al}^{3+}\) does not get reduced easily
(C) Both \(\mathrm{Al}^{3+}\) and \(\mathrm{Tl}^{3+}\) are very stable in solution
(D) \(\mathrm{Tl}^{+}\)is more stable than \(\mathrm{Tl}^{3+}\)
(E) \(\mathrm{Al}^{3+}\) and \(\mathrm{Tl}^{+}\)are highly stable
Choose the correct answer from the options given below :

A dipeptide, " \(x\) " on complete hydrolysis gives " \(y\) " and " \(z\) ". " \(y\) " on treatment with aq. \(\mathrm{HNO}_2\) produces lactic acid. On the other hand " \(z\) " on heating gives the following cyclic molecule.

Based on the information given, the dipeptide X is _______.

If \(K_{sp}\) of \(Ag_2CO_3\) is \(8 \times10^{-12},\) the molar solubility of \(Ag_2CO_3\) in \(0.1\,M\,AgNO_3\) is

How many electrons are involved in the following redox reaction? \(C{r_2}O_7^{2 - } + F{e^{2 + }} + {C_2}O_4^{2 - } \to C{r^{3 + }} + F{e^{3 + }} + C{O_2}\) (Unbalanced)

When \(0.01\,mol\) of an organic compound containing \(60\,\%\) carbon was burnt completely, \(4.4\,g\) of \(CO _2\) was produced. The molar mass of compound is \(.........g\,mol ^{-1}\) (Nearest integer)

Which of the following statements are correct, if the threshold frequency of caesium is \(5.16 \times 10^{14} \mathrm{~Hz}\) ?
A. When Cs is placed inside a vacuum chamber with an ammeter connected to it and yellow light is focused on Cs the ammeter shows the presence of current.
B. When the brightness of the yellow light is dimmed, the value of the current in the ammeter is reduced.
C. When a red light is used instead to the yellow light, the current produced is higher with respect to the yellow light.
D. When a blue light is used, the ammeter shows the formation of current.
E. When a white light is used, the ammeter shows formation of current.
Choose the correct answer from the options given below :

Choose the correct Statements from the following: \((A)\) Ethane-\(1\ 2\)-diamine is a chelating ligand. \((B)\) Metallic aluminium is produced by elecrtrolysis of aluminium oxide in presence of cryolite. \((C)\) Cyanide ion is used as ligand for leaching of silver. \((D)\) Phosphine act as a ligand in Wilkinson catalyst. \((E)\) The stability constants of \(\mathrm{Ca}^{2+}\) and \(\mathrm{Mg}^{2+}\) are similar with \(EDTA\) complexes. Choose the correct answer from the options given below:

What equal length of an iron wire and a copper-nickel alloy wire, each of \(2 \; {mm}\) diameter connected parallel to give an equivalent resistance of \(3 \Omega ?\) (Given resistivities of iron and copper-nickel alloy wire are \(12 \;\mu \Omega {cm}\) and \(51\; \mu \Omega {cm}\) respectively) (in \({m}\))

The denticity of an organic ligand, biuret is :

The mismatched combinations are \(A.\) Chlorophyll - Co \(B.\) Water hardness - EDTA \(C.\) Photography \(-\left[ Ag ( CN )_2\right]^{-}\) \(D.\) Wilkinson catalyst - \(\left[\left(P h_3 P\right)_3 R h C l\right]\) \(E.\) Chelating ligand - D - Penicillamine Choose the correct answer from the options given below:

If \(\int_{0}^{\sqrt{3}} \frac{15 x^{3}}{\sqrt{1+x^{2}+\sqrt{\left(1+x^{2}\right)^{3}}}} d x=\alpha \sqrt{2}+\beta \sqrt{3}\), where \(\alpha, \beta\) are integers, then \(\alpha+\beta\) is equal to.