The ground state energy of hydrogen atom is \(-13.6\, eV\). The energy of second excited state of \(He^+\) ion in \(eV\) is

\(\dot{ Cl }+ CH _{4} \rightarrow A + B\) \(A\) and \(B\) in the above atmospheric reaction step are.

For the reaction \(SO_2(g) + \frac{1}{2} O_2(g) \rightleftharpoons SO_3(g),\) if \(K_P = K_C ( RT)^x\) where the symbols have usual meaning then the value of \(x\) is (assuming ideality) :

\({\left[ Fe ( CN )_{6}\right]^{4-}}\); \({\left[ Fe ( CN )_{6}\right]^{3-}}\); \({\left[ Ti ( CN )_{6}\right]^{3-}}\); \({\left[ Ni ( CN )_{4}\right]^{2-}}\); \({\left[ Co ( CN )_{6}\right]^{3-}}\) Among the given complexes, number of paramagnetic complexes is .... .

A metal surface is exposed to \(500\, \mathrm{~nm}\) radiation. The threshold frequency of the metal for photoelectric current is \(4.3 \times 10^{14}\, \mathrm{~Hz}\). The velocity of ejected electron is \(.......\,\times 10^{5} \mathrm{~ms}^{-1}\) (Nearest integer) [Use : \(\left.\mathrm{h}=6.63 \times 10^{-34}\, \mathrm{Js}, \mathrm{m}_{\mathrm{e}}=9.0 \times 10^{-31}\, \mathrm{~kg}\right]\)

One mole of an ideal gas expands isothermally and reversibly from \(10 \mathrm{dm}^3\) to \(20 \mathrm{dm}^3\) at \(300 \mathrm{~K}. \Delta \mathrm{U}\), q and work done in the process respectively are :
Given : \(\mathrm{R}=8.3 \mathrm{JK}^{-1}\) and \(\mathrm{mol}^{-1}\)
\(\begin{aligned}
& \text { In } 10=2.3 \\
& \log 2=0.30 \\
& \log 3=0.48
\end{aligned}\)

The absolute value of the electron gain enthalpy of halogens satisfies

A wheel is rotaing freely with an angular speed \(\omega\) on a shaft. The moment of inertia of the wheel is \(I\) and the moment of inertia of the shaft is negligible. Another wheel of momet of inertia \(3I\) initially at rest is suddenly coupled to the same shaft. The resultant fractional loss in the kinetic energy of the system is :

A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of an uniform rigid rod of 27 cm long. The rod along with masses was placed on a wedge keeping the distance between wedge point and 200 gm weight as 25 cm. Initially the masses were not at balance. A beaker is placed beneath the unknown mass and water is added slowly to it. At given point the masses were in balance and half volume of the unknown mass was inside the water.
(Take the density of unknown mass is more than that of the water, the mass did not absorb water and water density is \(1 \mathrm{gm} / \mathrm{cm}^3\).) The unknown mass is ________ kg.

If the area (in \(sq. units\)) of the region \(\left\{ {\left( {x,y} \right):{y^2} \le 4x,x + y \le 1,x \ge 0,y \ge 0} \right\}\) is \(a\sqrt 2  + b\), then \(a -b\) is equal to

Give below are two statements: Statement-\(I\) : Noble gases have very high boiling points. Statement-\(II\): Noble gases are monoatomic gases. They are held together by strong dispersion forces. Because of this they are liquefied at very low temperature. Hence, they have very high boiling points. In the light of the above statements. choose the correct answer from the options given below:

In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line. One may conclude that:

An unknown alcohol is treated with the "Lucas reagent" to determine whether the alcohol is primary, secondary or tertiary. Which alcohol reacts fastest and by what mechanism :