The number of tripeptides formed by three different amino acids using each amino acid once is _______.

The \(\mathrm{Eu}^{2+}\) ion is a strong reducing agent in spite of its ground state electronic configuration (outermost) : [Atomic number of \(\mathrm{Eu}=63\) ]

Given below are two statements:
Statement I: Fructose does not contain an aldehydic group but still reduces Tollen's reagent
Statement II: In the presence of base, fructose undergoes rearrangement to give glucose.
In the light of the above statements, choose the correct answer from the options given below

Consider the following cell reaction : \(\mathrm{Cd}_{(s)}+\mathrm{Hg}_{2} \mathrm{SO}_{4(s)}+\frac{9}{5} \mathrm{H}_{2} \mathrm{O}_{(l)} \rightleftharpoons \mathrm{CdSO}_{4} \cdot \frac{9}{5} \mathrm{H}_{2} \mathrm{O}_{(s)}+2 \mathrm{Hg}_{(l)}\) The value of \(\mathrm{E}_{\text {cell }}^{0}\) is \(4.315\, \mathrm{~V}\) at \(25^{\circ} \mathrm{C}\). If \(\Delta \mathrm{H}^{\circ}=-825.2\, \mathrm{~kJ} \,\mathrm{~mol}^{-1}\), the standard entropy change \(\Delta \mathrm{S}^{\circ}\) in \(\mathrm{J} \,\mathrm{K}^{-1}\) is ........ . (Nearest integer) [Given : Faraday constant \(=96487\, \mathrm{C}\, \mathrm{mol}^{-1}\) ]

The correct order for acidity of the following hydroxyl compound is: Choose the correct answer from the options given below:

The pair of compounds having metals in their highest oxidation state is

\(5\, moles\) of an ideal gas at \(100\, K\) are allowed to undergo reversible compression till its temperature becomes \(200\, K\). If \(C_v = 28 \, J\,K^{-1}\, mol^{-1}\) , calculate \(\Delta U\) and \(\Delta pV\) for this process. \((R = 8.0\, J\, K^{-1}\, mol^{-1})\)

The reagent \((s)\) required for the following conversion are

The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that appears in the word must appear at least twice, is _______.

A bag contains \(6\) balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag contains at least \(5\) black balls is

An emf of \(20\; \mathrm{V}\) is applied at time \(\mathrm{t}=0\) to a circuit containing in series \(10\; \mathrm{mH}\) inductor and \(5 \;\Omega\) resistor. The ratio of the currents at time \(\mathrm{t}=\infty\) and at \(t=40\; s\) is close to : (Take \(e^{2}=7.389\) )

The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is \(31.4 \,cm\). The diameter of wire is measured as \(2.4 \,cm\). The resistivity of the given wire is measured as \(x \times 10^{-3} \,\Omega cm\). The value of \(x\) is_______ [Take \(\pi=3.14]\)

\(1.2\, mL\) of acetic acid is dissolved in water to make \(2.0\, L\) of solution. The depression in freezing point observed for this strength of acid is \(0.0198^{\circ} C\). The percentage of dissociation of the acid is \(....\) (Nearest integer) [Given : Density of acetic acid is \(1.02\, g\, mL ^{-1}\) Molar mass of acetic acid is \(60 \,g\, mol ^{-1}\) \(\left.K _{ f }\left( H _{2} O \right)=1.85\, K\, kg\, mol ^{-1}\right]\)