Match the LIST-I with LIST-II

LIST-I (Classification of molecules based on octet rule)	LIST-II (Example)
(A) Molecules obeying octet rule	(I) NO, NO2
(B). Molecules with incomplete octet	(II) BCl3, AlCl3
(C) Molecules with incomplete octet with odd electron	(III) H2SO4, PCl5
(D) Molecules with expanded octet	(IV) CCl4, CO2

Choose the correct answer from the options given below:

The energy of one mole of photons of radiation of frequency \(2 \times 10^{12}\,Hz\) in \(Jmol ^{-1}\) is \(.....\)(Nearest integer) (Given: \(h =6.626 \times 10^{-34}\,JS\) \(\left. N _{ A }=6.022 \times 10^{23}\, mol ^{-1}\right)\)

Given below are two statements :
Statement (I) : In octahedral complexes, when \(\Delta_{\mathrm{o}} \lt \mathrm{P}\) high spin complexes are formed. When \(\Delta_{\mathrm{o}} \gt \mathrm{P}\) low spin complexes are formed.
Statement (II) : In tetrahedral complexes because of \(\Delta_{\mathrm{t}} \lt \mathrm{P}\), low spin complexes are rarely formed.
In the light of the above statements, choose the most appropriate answer from the options given below :

The increasing order of the boiling points for the following compounds is \(\mathop {{C_2}{H_5}OH}\limits_{\left( I \right)} \)    \(\mathop {{C_2}{H_5}Cl}\limits_{\left( {II} \right)} \)   \(\mathop {{C_2}{H_5}C{H_3}}\limits_{\left( {III} \right)} \)   \(\mathop {{C_2}{H_5}OC{H_3}}\limits_{\left( {IV} \right)} \)

The octahedral diamagnetic low spin complex among the following is

For the reaction, \(2A + B\,\to \) products , when the concentrations of \(A\) and \(B\) both were doubled, the rate of the reaction increased from \(0.3\,mol\,L^{-1}\,s^{-1}\) to \(2.4 \,mol\,L^{-1}\,s^{-1}.\) When the concentration of \(A\) alone is doubled, the rate increased from \(0.3\,mol\,L^{-1}\,s^{-1}\) to \(0.6\,mol\,L^{-1}\,s^{-1}.\) Which one of the following statements is correct?

The covalent radii of atoms A and B are \(r_A\) and \(r_B\), respectively. The covalent bond length and total length of AB molecule are respectively

If \({ }^{1} \mathrm{P}_{1}+2 \cdot{ }^{2} \mathrm{P}_{2}+3 \cdot{ }^{3} \mathrm{P}_{3}+\ldots+15 \cdot{ }^{15} \mathrm{P}_{15}={ }^{\mathrm{q}} \mathrm{P}_{\mathrm{r}}-\mathrm{s}, 0 \leq \mathrm{s} \leq 1\) then \({ }^{\mathrm{q}+\mathrm{s}} \mathrm{C}_{\mathrm{r}-\mathrm{s}}\) is equal to .... .

Given below are two statements:
Statement I: Each electron in \(e_g\) orbitals destabilizes the orbitals by \(+0.6\Delta_o\) and each electron in the \(t_{2g}\) orbitals stabilizes the orbitals by \(-0.4\Delta_o\) in an octahedral field on the basis of crystal field theory.
Statement II: All the d-orbitals of the transition metals have the same energy in their free atomic state but when a complex is formed the ligands destroy the degeneracy of these orbitals on the basis of crystal field theory.
In the light of the above statements, choose the correct answer from the options given below

An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cross section \(8.0\times10^{-3}\, m^2\) . Initially the gas is at \(300\, K\) and occupies a volume of \(2.4\times10^{-3}\, m^3\) and the spring is in its relaxed state as shown in figure. The gas is heated by a small heater until the piston moves out slowly by \(0.1\, m\). The force constant of the spring is \(8000\, N/m\) and the atmospheric pressure is \(1.0\times10^5\, N/m^2\) . The cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. The final temperature of the gas will be: (Neglect the heat loss through the lead wires of the heater . The heat capacity of the heater coil is also negligible)

A ray of light passing through the point \(P (2,3)\) reflects on the \(x-\)axis at point \(A\) and the reflected ray passes through the point \(Q(5,4)\). Let \(R\) be the point that divides the line segment \(AQ\) internally into the ratio \(2: 1\). Let the co-ordinates of the foot of the perpendicular \(M\) from \(R\) on the bisector of the angle \(PAQ\) be \((\alpha, \beta)\). Then, the value of \(7 \alpha+3 \beta\) is equal to.......

The radii of two planets \(A\) and \(B\) are \(R\) and \(4 R\) and their densities are \(\rho\) and \(\rho / 3\) respectively. The ratio of acceleration due to gravity at their surfaces \(\left(g_A: g_B\right)\) will be

A bullet of \(10\, {g}\), moving with velocity \(v\), collides head-on with the stationary bob of a pendulum and recoils with velocity \(100 \, {m} / {s}\). The length of the pendulum is \(0.5\, {m}\) and mass of the bob is \(1\, {kg}\). The minimum value of \(v=\) \(....{m} / {s}\) so that the pendulum describes a circle. (Assume the string to be inextensible and \({g}=10\, {m} / {s}^{2}\) )