Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from \(n =4\) to \(n =2\) of \(He ^{+}\)spectrum

The water gas on reacting with cobalt as a catalyst forms

The reason for "drug induced poisoning" is

\(37.8 \mathrm{~g} \mathrm{~N}_2 \mathrm{O}_5\) was taken in a 1 L reaction vessel and allowed to undergo the following reaction at 500 K
\(2 \mathrm{~N}_2 \mathrm{O}_{5(\mathrm{~g})} \rightleftharpoons 2 \mathrm{~N}_2 \mathrm{O}_{4(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})}\)
The total pressure at equilibrium was found to be 18.65 bar.
Then, \(\mathrm{Kp}=\) ______ \(\times 10^{-2}\) [nearest integer]
Assume \(\mathrm{N}_2 \mathrm{O}_5\) to behave ideally under these conditions.
Given: \(\mathrm{R}=0.082\) bar \(\mathrm{L} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\)

The electron gain enthalpy (in \(kJ/mol\)) of fluorine, chlorine, bromine and iodine, respectively are

At \(298\, K\), the standard reduction potentials are \(1.51\, V\) for \(MnO_4^ - \,|\,M{n^{2 + }}\), \(1.36\, V\) for \(C{l_2}\,|\,C{l^ - }\), \(1.07\, V\) for \(B{r_2}\,|\,B{r^ - }\) and \(0.54\, V\) for \({I_2}\,|\,{I^ - }\). At \(pH\, = 3\) , permanganate is expected to oxidize \(\left( {\frac{{RT}}{F} = 0.059\,V} \right)\)

The following data were obtained during the first order thermal decomposition of a gas \(A\) at constant volume: \(\mathrm{A}(\mathrm{g}) \rightarrow 2 \mathrm{B}(\mathrm{g})+\mathrm{C}(\mathrm{g})\)

S.No	Time/s	Total Pressure/(atm)
\(1.\)	\(0\)	\(0.1\)
\(2.\)	\(115\)	\(0.28\)

The rate constant of the reaction is _______ \(\times 10^{-2} \mathrm{~s}^{-1}\). (nearest integer)

The metallic bob of simple pendulum has the relative density \(5\). The time period of this pendulum is \(10\,s\). If the metallic bob is immersed in water, then the new time period becomes \(5 \sqrt{ x } s\). The value of \(x\) will be.

In a Vernier Calipers. \(10\) divisions of Vernier scale is equal to the \(9\) divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the left of \(zero\) of the main scale and \(4^{\text {th }}\) Vernier scale division exactly coincides with the main scale reading. One main scale division is equal to \(1\,mm\). While measuring diameter of a spherical body, the body is held between two jaws. It is now observed that zero of the Vernier scale lies between \(30\) and \(31\) divisions of main scale reading and \(6^{\text {th }}\) Vernier scale division exactly. coincides with the main scale reading. The diameter of the spherical body will be \(.......cm\)

If Surface tension \((S)\), Moment of Inertia \((I)\) and Planck’s constant \((h)\), were to be taken as the fundamental units, the dimensional formula for linear momentum would be

At \(298\text{ K}\), the molar conductivity of \(x\%\) (w/w) \(MX\) solution (aqueous) is \(123.5\text{ S cm}^2\text{ mol}^{-1}\). The conductance of same solution is \(1.9 \times 10^{-3}\text{ S}\). The value of \(x\) is _______ \(\times 10^{-2}\).
(Given : cell constant \(= 1.3\text{ cm}^{-1}\); molar mass of \(MX\) is \(75\text{ g mol}^{-1}\), density of aqueous solution of \(MX\) at \(298\text{ K}\) is \(1.0\text{ g mL}^{-1}\))

If \(\in\), \( E \) and \( t \) represent the free space permittivity, electric field and time respectively, then the unit of \( \frac{eE}{t} \) will be :

Let \(A= \{1, 2, 3, 4\}\) and \(R : A \to A\) be the relation defined by \(R = \{ (1, 1), (2, 3), (3, 4), ( 4, 2) \}\). The correct statement is