\(\mathrm{K}_{\mathrm{n}}\) for \(\mathrm{CH}_3 \mathrm{COOH}\) is \(1.8 \times 10^{-3}\) and \(\mathrm{K}_{\mathrm{b}}\) for \(\mathrm{NH}_4 \mathrm{OH}\) is \(1.8 \times 10^{-5}\). The \(\mathrm{pH}\) of ammonium acetate solution will be _______.

The third ionization enthalpy is minimum for

Given below are two statements:
Statement I: The halogen that makes longest bond with hydrogen in HX, has the smallest covalent radius in its group.
Statement II: A group 15 element's hydride \(EH_{3}\) has the lowest boiling point among corresponding hydrides of other group 15 elements. The maximum covalency of that element E is 4.
In the light of the above statements, choose the correct answer from the options given below.

The solubility of \(Ca ( OH )_{2}\) in water is ....... . [Given : The solubility product of \(Ca ( OH )_{2}\) in water \(\left.=5.5 \times 10^{-6}\right]\)

What is the spin-only magnetic moment value \((BM)\) of a divalent metal ion with atomic number \(25,\) in it's aqueous solution ?

Acid \(\mathrm{D}\) formed in above reaction is _______.

\(116\, g\) of a substance upon dissociation reaction, yields \(7.5 \,g\) of hydrogen, \(60 \,g\) of oxygen and \(48.5\, g\) of carbon. Given that the atomic masses of \(H , O\) and \(C\) are \(1,16\) and \(12\) respectively. The data agrees with how many formulae of the following? \((A)\) \(CH _{3} COOH\) \((B)\) \(HCHO\) \((C)\) \(CH _{3} OOCH _{3}\) \((D)\) \(CH _{3} CHO\)

A gaseous hydrocarbon gives upon combustion \(0.72\, g\) of water and \(3.08\, g\) of \(CO_2.\) The empirical formula of the hydrocarbon is :

If \(\int \sin ^{-1}\left(\sqrt{\frac{x}{1+x}}\right) d x=A(x) \tan ^{-1}(\sqrt{x})+B(x)+C\) where \(C\) is a constant of integration, then the ordered pair \(( A ( x ), B ( x ))\) can be

The least count of the main scale of a vernier callipers is \(1\, mm\). Its vernier scale is divided into \(10\) divisions and coincide with \(9\) divisions of the main scale. When jaws are touching each other, the \(7\) th division of vernier scale coincides with a division of main scale and the zero of vernier scale is lying right side of the zero of main scale. When this vernier is used to measure length of a cylinder the zero of the vernier scale between \(3.1\, cm\) and \(3.2\, cm\) and \(4^{th}\) \(VSD\) coincides with a main scale division.The length of the cylinder is \(.....cm\) (\(VSD\) is vernier scale division)

Which one of the following reactions will not result in the formation of carbon-carbon bond?

The value of \(\int_{-\pi / 2}^{\pi / 2} \frac{\cos ^{2} x}{1+3^{x}} d x\) is

The function \(f:(-\infty, \infty) \rightarrow(-\infty, 1),\) defined by \(f(x)=\frac{2^x-2^{-x}}{2^x+2^{-x}} \text { is : }\)