The ionization enthalpy of \(Na ^{+}\) formation from \(Na _{( g )}\) is \(495.8\, kJ\, mol ^{-1},\) while the electron gain enthalpy of \(Br\) is \(-325.0\, kJ\, mol ^{-1}\). Given the lattice enthalpy of \(NaBr\) is \(-728.4\, kJ\, mol ^{-1}\). The energy for the formation of NaBr ionic solid is \((-)\) ........... \(\times 10^{-1} kJ \,mol ^{-1}\)

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

List \(I\) Complex	List \(II\) \(CFSE(\Delta_0)\)
\(A\) \(\left[ Cu \left( NH _3\right)_6\right]^{2+}\)	\(I\) \(-0.6\)
\(B\) \(\left[\operatorname{Ti}\left( N _2 O \right)_6\right]^{3+}\)	\(II\) \(-2.0\)
\(C\) \(\left[ Fe ( CN )_6\right]^{3-}\)	\(III\) \(-1.2\)
\(D\) \(\left[ NiF _6\right]^{4-}\)	\(IV\) \(-0.4\)

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Which of the following relation is not correct?

The value of \(x\) in compound ' \(D\) ' is \(.........\).

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

List \(I\) Oxide	List \(II\) Type of Bond
\(A\) \(N _2 O _4\)	\(I\).  \(1 N = O\) bond
\(B\) \(NO _2\)	\(II\). \(1 N - O - N\) bond
\(C\) \(N _2 O _5\)	\(III\). \(1 N - N\) bond
\(D\) \(N _2 O\)	\(IV\).  \(1 N = N / N \equiv N\) bond

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Match the List - I with List - II

List-I (Chloro derivative)		List-II (Example)
A.	Vinyl Chloride	I.	\(CH _2= CH - CH _2 Cl\)
B.	Benzyl chloride	II.	\(CH _3= CH ( Cl ) CH _3\)
C.	Alkyl chloride	III.	\(CH _2= CHCl\)
D.	Allyl chloride	IV.

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Bond order normally gives idea of stability of a molecular species. All the molecules viz. \(H_2,\,\, Li_2\) and \(B_2\) have the same bond order yet they are not equally stable. Their stability order is

The mean age of \(25\) teachers in a school is \(40\) years. A teacher retires at the age of \(60\) years and a new teacher is appointed in his place. If the mean age of the teachers in this school now is \(39\) years, then the age (in years) of the newly appointed teacher is..........

The spin only magnetic moments (in \(BM\)) for free \(\mathrm{Ti}^{3+}, \mathrm{V}^{2+}\) and \(\mathrm{Sc}^{3+}\) ions respectively are (At.No. \(Sc: 21; Ti : 22; V : 23)\)

The sum of the distinct real values of \(\mu \), for which the vectors, \(\mu \hat i + \hat j + \hat k,\,\hat i + \mu \hat j + \hat k,\,\hat i + \hat j + \mu \hat k\) are co-planar, is

A parallel plate capacitor with width \(4\,cm\), length \(8\,cm\) and separation between the plates of \(4\,mm\) is connected to a battery of \(20\,V\). A dielectric slab of dielectric constant \(5\) having length \(1\,cm\), width \(4\,cm\) and thickness \(4\,mm\) is inserted between the plates of parallel plate capacitor. The electrostatic energy of this system will be......... \(\in_{0}\,J\). (Where \(\epsilon_{0}\) is the permittivity of free space)

The range of the function \(f ( x )=\sqrt{3-x}+\sqrt{2+x}\) is

In a survey of \(220\) students of a higher secondary school, it was found that at least \(125\) and at most \(130\) students studied Mathematics; at least \(85\) and at most \(95\) studied Physics; at least \(75\) and at most \(90\) studied Chemistry; \(30\) studied both Physics and Chemistry; \(50\) studied both Chemistry and Mathematics; \(40\) studied both Mathematics and Physics and \(10\) studied none of these subjects. Let \(\mathrm{m}\) and \(\mathrm{n}\) respectively be the least and the most number of students who studied all the three subjects. Then \(\mathrm{m}+\mathrm{n}\) is equal to ...........