Number of spectral lines obtained in \(\mathrm{He}^{+}\)spectra, when an electron makes transition from fifth excited state to first excited state will be _______.

At the transition temperature \(T\), \(A \rightleftharpoons B\) and \(\Delta G^0 = 105 - 35\log T\) where \(A\) and \(B\) are two states of substance \(X\). The transition temperature in \(°\)C when pressure is \(1\) atm is _______. (Nearest integer)

Metals generally melt at very high temperature. Amongst the following, the metal with the highest melting point will be \(......\)

Given below are the two statements: one is labeled as Assertion \((A)\) and the other is labeled as Reason \((R)\). Assertion \((A)\): There is a considerable increase in covalent radius from \(\mathrm{N}\) to \(\mathrm{P}\). However from \(As\) to \(Bi\) only a small increase in covalent radius is observed. Reason \((R)\): covalent and ionic radii in a particular oxidation state increases down the group. In the light of the above statement, choose the most appropriate answer from the options given below:

Match List \(I\) with List \(II\) :-

सूची-\(I\) coordination compounds	सूची-\(II\) numbar of  unpaired electrons
\(A\) \(\left[ Cr ( CN )_6\right]^{3-}\)	\(I\)  \(0\)
\(B\) \(\left[ Fe \left( H _2 O \right)_6\right]^{2+}\)	\(II\) \(3\)
\(C\) \(\left[ Co \left( NH _3\right)_6\right]^{3+}\)	\(III\) \(2\)
\(D\) \(\left[ Ni \left( NH _3\right)_6\right]^{2+}\)	\(IV\) \(4\)

Choose the correct answer from the options given below :-

Which of the following statement is true with respect to \(\mathrm{H}_2 \mathrm{O}, \mathrm{NH}_3\) and \(\mathrm{CH}_4\) ?
A. The central atoms of all the molecules are \(\mathrm{sp}^3\) hybridized.
B. The \(\mathrm{H}-\mathrm{O}-\mathrm{H}, \mathrm{H}-\mathrm{N}-\mathrm{H}\) and \(\mathrm{H}-\mathrm{C}-\mathrm{H}\) angles in the above molecules are \(104.5^{\circ}, 107.5^{\circ}\) and \(109.5^{\circ}\), respectively.
C. The increasing order of dipole moment is \(\mathrm{CH}_4 \lt \mathrm{NH}_3 \lt \mathrm{H}_2 \mathrm{O}\).
D. Both \(\mathrm{H}_2 \mathrm{O}\) and \(\mathrm{NH}_3\) are Lewis acids and \(\mathrm{CH}_4\) is a Lewis base.
E. A solution of \(\mathrm{NH}_3\) in \(\mathrm{H}_2 \mathrm{O}\) is basic. In this solution \(\mathrm{NH}_3\) and \(\mathrm{H}_2 \mathrm{O}\) act as Lowry-Bronsted acid and base respectively.
Choose the correct answer from the options given below:

A set of solutions is prepared using \(180\) \(g\) of water as a solvent and \(10\) \(g\) of different non-volatile solutes \(A, B\) and \(C\). The relative lowering of vapour pressure in the presence of these solutes are in the order [Given, molar mass of \(A =100 \,g\, mol ^{-1} ; B =200 \,g\, mol ^{-1}\)\(\left. C =10,000 \,g\, mol ^{-1}\right]\)

The refractive index of the material of a glass prism is \(\sqrt{3}\). The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?

A square Lamina OABC of length 10 cm is pivoted at 'O'. Forces act at Lamina as shown in figure. If Lamina remains stationary, then the magnitude of F is :

The reaction \(\mathrm{A}_2+\mathrm{B}_2 \rightarrow 2 \mathrm{AB}\) follows the mechanism

The overall order of the reaction is :

The number of distinct real solutions of the equation \(x|x+4|+3|x+2|+10=0\) is

The moles of methane required to produce \(81 \,g\) of water after complete combustion is \(....\,\times 10^{-2}\, mol.\) [nearest integer]

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is \(20 \,cm\). The length of the open organ pipe is........\(cm\).