Stability of the species \(Li_2, Li_2^-\) and \(Li_2^+\) increases in the order of :

On complete combustion, \(0.492\,g\) of an organic compound gave \(0.792\,g\) of \(CO _2\).The \(\%\) of carbon in the organic compound is \(..................\) (Nearest integer)

The metal atom present in the complex MABXL (where A, B, X and L are unidentate ligands and M is metal) involves \(sp ^3\) hybridization. The number of geometrical isomers exhibited by the complex is _______.

In the sulphur estimation, 0.20 g of a pure organic compound gave 0.40 g of barium sulphate. The percentage of sulphur in the compound is ______ \(\times 10^{-1} \%\).
(Molar mass : \(\mathrm{O}=16, \mathrm{~S}=32, \mathrm{Ba}=137\) in \(\mathrm{g} \mathrm{mol}^{-1}\) )

Two nucleotides are joined together by a linkage known as :

\(56.0\,L\) of nitrogen gas is mixed with excess of hydrogen gas and it is found that \(20\,L\) of ammonia gas is produced. The volume of unused nitrogen gas is found to be \(L\).

The spin only magnetic moment ( \(\mu\) ) value (B.M.) of the compound with strongest oxidising power among \(\mathrm{Mn}_2 \mathrm{O}_3, \mathrm{TiO}\) and VO is ____ B.M. (Nearest integer).

Given below are two statements: one is labelled as Assertion \((A)\) and the other is labelled as Reason \((R)\). Assertion \((A)\) : \(\mathrm{NH}_3\) and \(\mathrm{NF}_3\) molecule have pyramidal shape with a lone pair of electrons on nitrogen atom. The resultant dipole moment of \(\mathrm{NH}_3\) is greater than that of \(\mathrm{NF}_3\). Reason \((R)\) : In \(\mathrm{NH}_3\), the orbital dipole due to lone pair is in the same direction as the resultant dipole moment of the \(\mathrm{N}-\mathrm{H}\) bonds. \(\mathrm{F}\) is the most electronegative element. In the light of the above statements, choose the correct answer from the options given below:

If \(917 \mathring A\) be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be .......\(\mathring A\).

At \(25°C\), \(20.0\) mL of \(0.2\) M weak monoprotic acid HX is titrated against \(0.2\) M NaOH. The pH of the solution (a) at the start of the titration (when NaOH has not been added) and (b) when \(10\) mL of NaOH is added respectively, are:
Given: \(K_a = 5 \times 10^{-4}\), \(pK_a = 3.3\), \(\alpha << 1\)

(a)	(b)

Let \(A B\) and \(P Q\) be two vertical poles, \(160\, m\) apart from each other. Let \(C\) be the middle point of \(B\) and \(Q\), which are feet of these two poles. Let \(\frac{\pi}{8}\) and \(\theta\) be the angles of elevation from \(C\) to \(P\) and \(A\), respectively. If the height of pole \(P Q\) is twice the height of pole \(AB\), then \(\tan ^{2} \theta\) is equal to

Which of the following statements are correct about \(\mathrm{Zn}, \mathrm{Cd}\) and \(\mathrm{Hg}\) ? \(A\). They exhibit high enthalpy of atomization as the d-subshell is full. \(B\). \(\mathrm{Zn}\) and \(\mathrm{Cd}\) do not show variable oxidation state while \(\mathrm{Hg}\) shows \(+\mathrm{I}\) and + \(II.\) \(C\). Compounds of \(\mathrm{Zn}, \mathrm{Cd}\) and \(\mathrm{Hg}\) are paramagnetic in nature. \(D\). \(\mathrm{Zn}, \mathrm{Cd}\) and \(\mathrm{Hg}\) are called soft metals. Choose the most appropriate from the options given below:

The number of natural numbers less than \(7,000\) which can be formed by using the digits \(0, 1, 3, 7, 9\) (repetition of digits allowed) is equal to