Number of compounds from the following with zero dipole moment is _______. \(\mathrm{HF}, \mathrm{H}_2, \mathrm{H}_2 \mathrm{~S}, \mathrm{CO}_2, \mathrm{NH}_3, \mathrm{BF}_3, \mathrm{CH}_4, \mathrm{CHCl}_3, \mathrm{SiF}_4\), \(\mathrm{H}_2 \mathrm{O}, \mathrm{BeF}_2\)

Match List I with List II

List - I Type	List - II Name
A. Antifertility drug	I. Norethindrone
B. Tranquilizer	II. Meprobomate
C. Antihistamine	III. Seldane
D. Antibiotic	IV. Ampicillin

Choose the correct answer from the options given below :

An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The pH of HCl solution would _______.
(Given \(\log 2=0.30)\)

An analyst wants to convert. \(1 L\,HCl\) of \(pH =1\) to a solution of \(HCl\) of \(pH 2\). The volume of water needed to do this dilution is \(......\,mL\). (Nearest Integer)

\(Fe ^{3+}\) cation gives a prussian blue precipitate on addition of potassium ferrocyanide solution due to the formation of.

Statement \(I\) : Sodium hydride can be used as an oxidising agent. Statement \(II :\) The lone pair of electrons on nitrogen in pyridine makes it basic. Choose the CORRECT answer from the options given below:

The correct statements from the following are : \((A)\) The decreasing order of atomic radii of group \(13\) elements is \(\mathrm{Tl}>\mathrm{In}>\mathrm{Ga}>\mathrm{Al}>\mathrm{B}\). \((B)\) Down the group \(13\) electronegativity decreases from top to bottom. \((C)\) \(\mathrm{Al}\) dissolves in dil. \(\mathrm{HCl}\) and liberate \(\mathrm{H}_2\) but conc. \(\mathrm{HNO}_3\) renders Al passive by forming a protective oxide layer on the surface. \((D)\) All elements of group \(13\) exhibits highly stable +1 oxidation state. \((E)\) Hybridisation of \(\mathrm{Al}\) in \(\left[\mathrm{Al}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{3+}\) ion is \(\mathrm{sp}^3 \mathrm{~d}^2\). Choose the correct answer from the options given below:

\(2.{}^{20}{C_0} + 5.{}^{20}{C_1} + 8.{}^{20}{C_2} + 11.{}^{20}{C_3} + ......62.{}^{20}{C_{20}}\) is equal to

A thin rod having a length of \(1\; m\) and area of cross-section \(3 \times 10^{-6}\,m ^2\) is suspended vertically from one end. The rod is cooled from \(210^{\circ}\,C\) to \(160^{\circ}\,C\). After cooling, a mass \(M\) is attached at the lower end of the rod such that the length of rod again becomes \(1\,m\). Young's modulus and coefficient of linear expansion of the rod are \(2 \times 10^{11} Nm ^{-2}\) and \(2 \times 10^{-5} K ^{-1}\), respectively. The value of \(M\) is \(.......kg .\left(\right.\) Take \(\left.g=10\,m s ^{-2}\right)\)

Let \([\cdot]\) denote the greatest integer function. If the domain of the function \(f(x) = \cos^{-1}\left(\dfrac{4x+2[x]}{3}\right)\) is \([\alpha, \beta]\), then \(12(\alpha + \beta)\) is equal to:

Two isolated conducting spheres \(S_{1}\) and \(S_{2}\) of radius \(\frac{2}{3} R\) and \(\frac{1}{3} R\) have \(12\, \mu C\) and \(-3\, \mu C\) charges, respectively, and are at a large distance from each other. They are now  onnected by a conducting wire. A long time after this is done the charges on \(S_{1}\) and \(S_{2}\) are respectively

Identify the correct statements about alkali metals.
A. The order of standard reduction potential \(\left( M ^{+} \mid M \right)\) for alkali metal ions is \(Na > Rb > Li\).
B. CsI is highly soluble in water.
C. Lithium carbonate is highly stable to heat.
D. Potassium dissolved in concentrated liquid ammonia is blue and paramagnetic.
E. All alkali metal hydrides are ionic solids.
Choose the correct answer from the options given below

7.9 MeV \( \alpha \)-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) __________m.
\(\left[\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 Nm ^2 / C ^2\right.\) and electron charge \(\left.=1.6 \times 10^{-19} C \right]\)