The number of \(2-\) centre \(-2-\) electron and \(3-\) centre \(-2-\) electron bonds in \(B_2H_6\), respectively, are

A compound 'X' absorbs 2 moles of hydrogen and 'X' upon oxidation with \(KMnO _4 \mid H ^{+}\)gives

The total number of \(\sigma\) bonds present in the compound 'X' is ________.

The molar conductivity of a conductivity cell filled with \(10\) moles of \(20\,mL\,NaCl\) solution is \(\Lambda_{ m 1}\) and that of \(20\) \(moles\) another identical cell heaving \(80\) \(mL NaCl\) solution is \(\Lambda_{ m 2}\), The conductivities exhibited by these two cells are same.The relationship between \(\Lambda_{m 2}\) and \(\Lambda_{m 1}\) is\(........\)

The correct order of reduction potentials of the following pairs is \(A.\) \(Cl _{2} / Cl^{-}\)   \(B.\) \(I _{2} / I^{-}\)   \(C.\) \(Ag ^{+} / Ag\)   \(D.\) \(Na ^{+} / Na\)   \(E.\) \(Li ^{+} / Li\) Choose the correct answer from the options given below.

Which one of the following is used to remove most of plutonium from spent nuclear fuel?

Consider that a \(d ^{6}\) metal ion \(\left( M ^{2+}\right)\) forms a complex with aqua ligands, and the spin only magnetic moment of the complex is \(4.90\) \(BM.\) The geometry and the crystal field stabilization energy of the complex is:

Compound \(\mathrm{A}\) formed in the following reaction reacts with \(B\) gives the product \(C\). Find out \(A\) and \(B\).

A piston of mass \(M\) is hung from a massless spring whose restoring force law goes as \(\mathrm{F}=-\mathrm{kx}^3\), where k is the spring constant of appropriate dimension. The piston separates the vertical chamber into two parts, where the bottom part is filled with ' \(n\) ' moles of an ideal gas. An external work is done on the gas isothermally (at a constant temperature T) with the help of a heating filament (with negligible volume) mounted in lower part of the chamber, so that the piston goes up from a height \(\mathrm{L}_0\) to \(\mathrm{L}_1\), the total energy delivered by the filament is (Assume spring to be in its natural length before heating)

In hydrogen atom spectrum, (R is Rydberg's constant):
A. the maximum wavelength of the radiation of Lyman series is \(\frac{4}{3 R}\)
B. the Balmer series lies in the visible region of the spectrum
C. the minimum wavelength of the radiation of Paschen series is \(\frac{9}{R}\)
D. the minimum wavelength of Lyman series is \(\frac{5}{4 R}\)
Choose the correct answer from the options given below :

A red \(LED\) emits light at \(0.1\) watt uniformly around it. The amplitude of the electric field of the light at a distance of \(1\ m\) from the diode is....\( Vm^{-1}\)

Given below are two statements : one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\): Assertion \(A\): In the photoelectric effect, the electrons are ejected from the metal surface as soon as the beam of light of frequency greater than threshold frequency strikes the surface. Reason \(R\) : When the photon of any energy strikes an electron in the atom, transfer of energy from the photon to the electron takes place. In the light of the above statements, choose the most appropriate answer from the options given below :

The value of
\(\int_{e^2}^{e^4} \frac{1}{x}\left(\frac{e^{\left(\left(\log _e x\right)^2+1\right)^{-1}}}{e^{\left(\left(\log _e x\right)^2+1\right)^{-1}}+e^{\left(\left(6-\log _e x\right)^2+1\right)^{-1}}}\right) d x\) is

The conjugate base of hydrazoic acid is