Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.
Column I
Column II
(A)
Orbital angular momentum of the electron in a hydrogen-like atomic orbital.
(P)
Principal quantum number
(B)
A hydrogen-like one-electron wave function obeying Pauli's principle.
(Q)
Azimuthal quantum number
(C)
Shape, size and orientation of hydrogen like atomic orbitals.
(R)
Magnetic quantum number
(D)
Probability density of electron at the nucleus in hydrogen-like atom.
The correct stability order for the following species is :
Answer
(D)
(I) > (III) > (II) > (IV)
3
Cellulose upon acetylation with excess acetic anhydride/H$$_2$$SO$$_4$$ (catalytic) gives cellulose triacetate whose structure is :
Answer
(A)
4
In the following reaction sequence, the correct structure of E, F and G are :
Answer
(C)
5
Among the following, the coloured compound is :
Answer
(C)
CuF$$_2$$
6
Both [Ni(CO)$$_4$$] and [Ni(CN)$$_4$$]$$^{2-}$$ are diamagnetic. They hybridisations of nickel in these complexes, respectively, are :
Answer
(B)
sp$$^3$$, dsp$$^2$$
7
The IUPAC name of [Ni(NH$$_3$$)$$_4$$] [NiCl$$_4$$] is :
Answer
(C)
Tetraammnenickel (II) - tetrachloronickelate (II)
8
Electrolysis of dilute aqueous NaCl solution was carried out by passing 10 milli ampere current. The time required to liberate 0.01 mol of H$$_2$$ gas at the cathode is (1 Faraday = 96500 C mol$$^{-1}$$].
Answer
(B)
19.3 $$\times$$ 10$$^4$$ sec
9
Among the following, the surfactant that will form micelles in aqueous solution at the lowest molar concentration at ambient condition is:
Solubility product constants (K$$_{sp}$$) of salts of types MX, MX$$_2$$ and M$$_3$$X at temperature T are 4.0 $$\times$$ 10$$^{-8}$$, 3.2 $$\times$$ 10$$^{-14}$$ and 2.7 $$\times$$ 10$$^{-15}$$, respectively. Solubilities (mol dm$$^{-3}$$) of the salts at temperature 'T' are in the order:
Answer
(D)
MX > M$$_3$$X > MX$$_2$$
11
Statement 1 : Aniline on reaction with NaNO$$_2$$/HCl at 0$$^\circ$$C followed by coupling with $$\beta$$-naphthol gives a dark blue coloured precipitate.
Statement 2 : The colour of the compound formed in the reaction of aniline with NaNO$$_2$$/HCl at 0$$^\circ$$C followed by coupling with $$\beta$$-naphthol is due to the extended conjugation.
Answer
(D)
Statement 1 is False, Statement 2 is True.
12
Statement 1 : [Fe(H$$_2$$O)$$_5$$NO]SO$$_4$$ is paramagnetic.
Statement 2 : The Fe in [Fe(H$$_2$$O)$$_5$$NO]SO$$_4$$ has three unpaired electrons.
Answer
(A)
Statement 1 is True, Statement 2 is True; Statement 2 is a CORRECT explanation for Statement 1.
13
Statement 1 : The geometrical isomers of the complex [M(NH$$_3$$)$$_4$$Cl$$_2$$] are optically inactive.
Statement 2 : Both geometrical isomers of the complex [M(NH$$_3$$)$$_4$$Cl$$_2$$] possess axis of symmetry.
Answer
(B)
Statement 1 is True, Statement 2 is True; Statement 2 is a NOT CORRECT explanation for Statement 1.
14
Statement 1 : There is a natural asymmetry between converting work to heat and converting heat to work.
Statement 2 : No process is possible in which the sole result is the absorption of heat from a reservoir and its complete conversion into work.
Answer
(A)
Statement 1 is True, Statement 2 is True; Statement 2 is a CORRECT explanation for Statement 1.
15
Compound H is formed by the reaction of
Answer
(B)
16
The structure of compound I is :
Answer
(A)
17
The structures of compound J, K and L, respectively, are:
Answer
(D)
PhCHO, PhCOCH$$_3$$ and PhCOO$$^-$$K$$^+$$
18
The number of atoms in this HCP unit cell is :
Answer
(B)
6
19
The volume of this HCP unit cell is :
Answer
(A)
$$24\sqrt 2 \,{r^3}$$
20
The empty space in this HCP unit cell is :
Answer
(D)
26%
21
Match the compounds in Column I with their characteristic test(s)/reaction(s) given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.
Column I
Column II
(A)
(P)
sodium fusion extract of the compound gives Prussian blue colour with FeSO$$_4$$.
(B)
(Q)
gives positive FeCl$$_3$$ test.
(C)
(R)
gives white precipitate with AgNO$$_3$$.
(D)
(S)
reacts with aldehydes to form the corresponding hydrazone derivative.
Answer
(B)
A $$\to$$ (r, s); B $$\to$$ (p, q); C $$\to$$ (p, q, r); D $$\to$$ (p, s)
22
Match the conversions in Column I with the type(s) of reaction(s) given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.
Column I
Column II
(A)
PbS $$\to$$ PbO
(P)
roasting
(B)
CaCO$$_3$$ $$\to$$ CaO
(Q)
Calcination
(C)
ZnS $$\to$$ Zn
(R)
carbon reduction
(D)
Cu$$_2$$S $$\to$$ Cu
(S)
self reduction
Answer
(C)
A $$\to$$ (p); B $$\to$$ (q); C $$\to$$ (p, r); D $$\to$$ (p, s)