The values of conductivity of some materials at \(298.15 \mathrm{~K}\) in \(\mathrm{Sm}^{-1}\) are \(2.1 \times 10^3\), \(1.0 \times 10^{-16}, 1.2 \times 10,3.91,1.5 \times 10^{-2}\), \(1 \times 10^{-1}, 1.0 \times 10^3\). The number of conductors among the materials is _______.

Molality of \(0.8 \ \mathrm{M} \mathrm{H}_2 \mathrm{SO}_4\) solution (density \(1.06 \mathrm{~g} \mathrm{~cm}^{-3}\) ) is _______ \(\times 10^{-3} m\).

The correct order of nucleophilicity is ..... .

If \(O _{2}\) gas is bubbled through water at \(303 \;K\), the number of millimoles of \(O _{2}\) gas that dissolve in 1 litre of water is (Nearest Integer) (Given : Henry's Law constant for \(O _{2}\) at \(303 \;K\) is \(46.82 \;k\) bar and partial pressure of \(O _{2}=0.920 \;bar\) ) (Assume solubility of \(O _{2}\) in water is too small, nearly negligible)

The correct increasing order of spin-only magnetic moment values of the complex ions
\([MnBr_{4}]^{2-}\) (A), \([Cu(H_{2}O)_{6}]^{2+}\) (B), \([Ni(CN)_{4}]^{2-}\) (C) and \([Ni(H_{2}O)_{6}]^{2+}\) (D) is:

An octahedral complex of \(Co^{3+}\) is diamagnetic. The hybridisation involved in the formation of the complex is

At \(298\, \mathrm{~K}\), the enthalpy of fusion of a solid \((\mathrm{X})\) is \(2.8 \,\mathrm{k} \mathrm{J}\, \mathrm{mol}^{-1}\) and the enthalpy of vaporisation of the liquid \((X)\) is \(98.2 \,\mathrm{~kJ}\, \mathrm{~mol}^{-1}\). The enthalpy of sublimation of the substance \((\mathrm{X})\) in \(\mathrm{kJ} \,\mathrm{mol}^{-1}\) is \(.....\) (in nearest integer)

The magnetic moment of an electron \((e)\) revolving in an orbit around nucleus with an orbital angular momentum is given by :

Following figure shows dependence of molar conductance of two electrolytes on concentration. \(\Lambda \stackrel{0}{ m }\) is the limiting molar conductivity.The number of Incorrect statement(s) from the following is \(...........\) \((A)\) \(\Lambda \stackrel{0}{ m }\) for electrolyte \(A\) is obtained by extrapolation \((B)\) For electrolyte B, vx \(\Lambda m\) vs \(\sqrt{ c }\) graph is a straight line with intercept equal to \(\Lambda \stackrel{0}{ m }\) \((C)\) At infinite dilution, the value of degree of dissociation approach zero for electrolyte \(B\). \((D)\) \(\Lambda \stackrel{0}{ m }\) for any electrolyte \(A\) or \(B\) can be calculated using \(\lambda^{\circ}\) for individual ions.

A particle of mass \(10\,g\) moves in a straight line with retarcation \(2x\), where \(x\) is the displacement in \(SI\) units. Its loss of kinetic energy for above displacement is \(\left(\frac{10}{x}\right)^{- n }\, J\). The value of \(n\) will be \(............\).

Match the LIST-I with LIST-II

List-I Name of amino acid	List-II One letter symbol/type
A. Arginine	I. D/Non-essential
B. Aspartic acid	II. R/Essential
C. Lysine	III. E/Non-essential
D. Glutamic acid	IV. K/Essential

Choose the correct answer from the options given below:

Two small equal point charges of magnitude \(q\) are suspended from a common point on the ceiling by insulating mass less strings of equal lengths. They come to equilibrium with each string making angle \(\theta \) from the vertical. If the mass of each charge is \(m,\) then the electrostatic potential at the centre of line joining them will be \(\left( {\frac{1}{{4\pi { \in _0}}} = k} \right).\)

A parallel plate capacitor with area \(200\,cm^2\) and separation between the plates \(1.5\,cm\), is connected across a battery of \(emf\) \(V\). If the force of attraction between the plates is \(25\times10^{-6}\,N\), the value of \(V\) is approximately........\(V\) \(\left( {{\varepsilon _0} = 8.85 \times {{10}^{ - 12}}\,\frac{{{C^2}}}{{N{m^2}}}} \right)\)