Phenol can be distinguished from ethanol by the following reagent :

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The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral complez to yield three orbitals of lower energy, \(t_{2 g}\) set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_0\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_{\circ}\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_{\circ}\) and pairing energy, \(P\) (energy required for electron
pairing in a single orbital) determine the formation of low spin ( \(\Delta_0>P\) ) or high spin ( \(\Delta_0<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
What will be the crystal field splitting energy for tetrahedral \(\left[ CoCl _4\right]^{2-}\) if its value for octahedral \(\left[ CoCl _6\right]^{4-}\) is \(18,000 cm^{-1}\) ?

The \(K H\) values of \(HCOOH > CH _4> Ar\) and CO _2 > at \(2 9 8 K\) are \(1 . 8 3 \times 1 0 - 5 ~ k b a r\), \(0.413 kbar , 40 kbar\) and 1.67 kbar respectively. Arrange them in the order of their decreasing solubility at constant pressure :

Match List I with List II

LIST I	LIST II
A. \(\left[ Co \left( H _2 NCH _2 CH _2 NH _2\right)_3\right]_2\left( SO _4\right)_3\)	I. Tetracarbonylnickel(0)
B. \([\text{Ni}(\text{CO})_4]\)	II. Mercury tetrathiocyanatocobaltate(III)
C. \([\text{CoCl}_2(\text{en})_2]^+\)	III. tris(ethane-1,2-diamine)cobalt(III) sulphate
D. \(\text{Hg}[\text{Co}(\text{SCN})_4]\)	IV. Dichloridobis(ethane-1,2-diammine)cobalt(III)

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Match the property given in List-l with the element given in List-Il

List-I (Property)	List-ll (Element)
(A) Lanthanoid, which can show +2 oxidation state	(I) Pm
(B) Radioactive lanthanoid	(II) Lu
(C) Lanthanoid which has \(4 f^{\wedge} 7\) electronic configuration in +3 oxidation state	(III) Eu
(D) Lanthanoid which has \(4 f^{\wedge}\{14\}\) electronic configuration in +3 oxidation state	(IV) Gd

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Vapour pressure of \(\text{CHCl}_3\) and \(\text{CH}_2\text{Cl}_2\) at 298 K are 200 mmHg and 415 mmHg respectively.
Calculate the vapour pressure of the solution prepared by mixing 25.5 g of \(\text{CHCl}_3\) and 40 g of \(\text{CH}_2\text{Cl}_2\) at 298 K.

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The noble gases have closed shell electronic configuration and are monatomic gases under normal conditions. The low boiling points of lighter noble gases are due to the weak dispersion forces between the atoms and the absence of other inter atomic interaction. The direct reaction of xenon with fluorine leads to a series of compounds with oxidation numbers \(+2, +4\) and \(+6\).
\(\text{XeF}_4\) reacts violently with water to give \(\text{XeO}_3\). The compound of Xenon exhibit stereoisomerism and their geometries can be deduced considering the total number of electrons in the valence shell.
Match List - I with List – II.

List - I	List - II
A. Its partial hydrolysis does not change the oxidation state of the central atom	I. He
B. It is used in modern diving apparatus	II. \(\text{XeF}_6\)
C. It is used to provide inert atmosphere for filling electrical bulbs	III. \(\text{XeF}_4\)
D. Its central atom is in \(\text{sp}^3\text{d}^2\) hybridisation state	IV. Ar

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Answer the question on basis of passage given below :
A ketone \([ A ]\) which undergoes haloform reaction gives compound \([ B ]\) on reduction. Compound
\([B]\) on heating with sulphuric acid gives compound \([C]\) which forms monozonide \([D]\). The compound \([ D ]\) on hydrolysis in the presence of zinc dust gives compound \([ E ]\). 
Compound \([ E ]\) on oxidation gives \(C _2 H _4 O _2\) [F]
Compound [E] in presence of dil NaOH gives :

If \(P(A \cap B)=0.4, P(\bar{A} \cap \bar{B})=0.3\), then the value of \(P(\bar{A})+P(\bar{B})\) is:

The first instance of construction of an artificial recombinant DNA molecule was carried out on the plasmid of:

Light with an energy flux of \( 18 \text{ W/cm}^2 \) falls at normal incidence on a non-reflecting surface of area \( 20 \text{ cm}^2 \). If the light falls for 30 minutes on the surface, find the total momentum delivered to the surface.

Select the factor that does not disturb the genetic equilibrium :

The magnetic flux linked with a coil at any instant t is given by \( \Phi = (4t^3 - 3t^2 + 2t + 5) \text{ Wb} \). The emf induced in the coil at \( t = 3 \text{ s} \) is