The complete combustion of 9.83 mg of an organic compound ($\text{C}_X\text{H}_Y\text{O}_Z$) gives 23.26 mg of $\text{CO}_2$ and 9.52 mg of $\text{H}_2\text{O}$. The ESI-MS analysis of this compound gave a molecular ion peak at 130 ($m/z$). The value of X is
[Given: Atomic weight: $\text{C} = 12; \text{H} = 1; \text{O} = 16$]
a.
7
Correct Answer
b.
3
c.
4
d.
8
Step-by-Step AI Explanation
Verified Method
Mass of Carbon = $\frac{12}{44} \times 23.26 = 6.344\text{ mg}$.
Mass of Hydrogen = $\frac{2}{18} \times 9.52 = 1.058\text{ mg}$.
Mass of Oxygen = $9.83 - (6.344 + 1.058) = 2.428\text{ mg}$.
Moles of C in sample = $\frac{6.344}{12} = 0.5287\text{ mmol}$.
Moles of compound = $\frac{9.83\text{ mg}}{130\text{ mg/mmol}} = 0.0756\text{ mmol}$.
$X = \frac{\text{Moles of C}}{\text{Moles of compound}} = \frac{0.5287}{0.0756} \approx 7.0$.
Q2mcq
The correct order of basicity for the following compounds is
a.
I > III > II
b.
II > I > III
c.
III > I > II
d.
III > II > I
Correct Answer
Step-by-Step AI Explanation
Verified Method
For diazines, the basicity order ($ ext{p}K_a$ values) is: Pyridazine (III, $\text{p}K_a \approx 2.3$) > Pyrimidine (II, $\text{p}K_a \approx 1.3$) > Pyrazine (I, $\text{p}K_a \approx 0.6$). The adjacent nitrogen lone pairs in pyridazine exhibit lone-pair repulsion which is relieved upon protonation, giving it the highest basicity.
Q1mcq2 marks
Consider the following statements:
Statement I: All Booklets are Manuals.
Statement II: All Manuals are Catalogues.
If Statements I and II are True, which one of the following conclusions can be conclusively drawn?
a.
All Manuals are Booklets.
b.
All Catalogues are Booklets.
c.
All Booklets are Catalogues.
Correct Answer
d.
All Catalogues are Manuals.
Step-by-Step AI Explanation
Verified Method
From the given premises:
1. $\text{Booklets} \subseteq \text{Manuals}$
2. $\text{Manuals} \subseteq \text{Catalogues}$
By transitivity, $\text{Booklets} \subseteq \text{Catalogues}$, which means "All Booklets are Catalogues" is conclusively true.
Q2mcq2 marks
The given Venn diagram shows numbers of players playing one or more than one sport.
The percentage of players who play exactly two sports is closest to _____ %.
a.
5
b.
14
c.
28
Correct Answer
d.
32
Step-by-Step AI Explanation
Verified Method
From the Venn diagram:
- Total number of players = $18 + 24 + 20 + 7 + 11 + 8 + 4 = 92$
- Number of players who play exactly two sports = $7 + 11 + 8 = 26$
- Percentage = $\frac{26}{92} \times 100\% \approx 28.26\% \approx 28\%$.
Q3mcq2 marks
The value of a company is measured as the total value of its shares owned by different investors. Rakesh owns 2/15 of the shares of a company. He sells 1/3 of his shares for Rs. 75,000/-. What is the total value of the company at that time?
a.
Rs. 15,75,800
b.
Rs. 16,87,500
Correct Answer
c.
Rs. 17,75,800
d.
Rs. 18,27,500
Step-by-Step AI Explanation
Verified Method
Let the total value of the company be $V$.
Fraction of the company's shares sold by Rakesh = $\frac{2}{15} \times \frac{1}{3} = \frac{2}{45}$.
Given that $\frac{2}{45} V = 75,000$:
$$V = \frac{75,000 \times 45}{2} = 37,500 \times 45 = 16,87,500$$
Thus, the total value of the company is Rs. 16,87,500.
Q4mcq2 marks
A car has wheels of diameter 36 cm. If it runs at a speed of 60 km/h, then the rotation per minute (RPM) will be closest to _____.
a.
884
Correct Answer
b.
898
c.
906
d.
986
Step-by-Step AI Explanation
Verified Method
Speed of the car = $60\text{ km/h} = \frac{60 \times 1000\text{ m}}{60\text{ min}} = 1000\text{ m/min} = 100,000\text{ cm/min}$.
Circumference of the wheel = $\pi d = \pi \times 36\text{ cm} \approx 113.097\text{ cm}$.
$$\text{RPM} = \frac{\text{Speed}}{\text{Circumference}} = \frac{100,000}{36\pi} \approx \frac{100,000}{113.097} \approx 884.19 \approx 884$$
Q5mcq2 marks
A cylindrical container of radius 20 cm was filled with water up to 25 cm height. A solid spherical ball of radius 7 cm was then immersed in the water. What would be the approximate increase in water level in the container after the ball was fully immersed?
a.
1.14 cm
Correct Answer
b.
2.28 cm
c.
5.50 cm
d.
7.00 cm
Step-by-Step AI Explanation
Verified Method
Volume of the spherical ball = $\frac{4}{3}\pi r^3 = \frac{4}{3}\pi (7)^3 = \frac{1372\pi}{3}\text{ cm}^3$.
Increase in water level $h$ is given by:
$$\pi R^2 h = V_{\text{sphere}}$$
$$\pi (20)^2 h = \frac{1372\pi}{3}$$
$$400 h = \frac{1372}{3} \implies h = \frac{1372}{1200} = 1.143\text{ cm} \approx 1.14\text{ cm}$$
Q6mcq2 marks
The market share (%) and annual production of scooters from five automobile companies P, Q, R, S, and T are shown in graphs.
If the profit of a company is directly proportional to the ratio of market share to production, then which of the following statements is/are CORRECT?
Statement X: Companies T and P have same profit
Statement Y: Company R has the maximum profit
Statement Z: Company S has the minimum profit
a.
X and Y
b.
X and Z
c.
Y and Z
Correct Answer
d.
Only Z
Step-by-Step AI Explanation
Verified Method
Profit $\propto \frac{\text{Market Share (\%)}}{\text{Production (in thousands)}}$:
- For P: $\frac{17}{80} = 0.2125$
- For Q: $\frac{25}{120} \approx 0.2083$
- For R: $\frac{24}{110} \approx 0.2182$
- For S: $\frac{14}{80} = 0.1750$
- For T: $\frac{20}{100} = 0.2000$
Comparing values:
- Statement X: Profit(T) = 0.2000 $\neq$ Profit(P) = 0.2125 (Incorrect)
- Statement Y: Maximum ratio is for Company R (0.2182) (Correct)
- Statement Z: Minimum ratio is for Company S (0.1750) (Correct)
Thus, statements Y and Z are correct.
Q7mcq2 marks
Rahul and his father started jogging on a circular track of radius 'r' (r > 2). Rahul completed one round and stopped. His father got tired half way into the first round and returned to his starting point along a straight line. What is the ratio of the distances covered by Rahul and his father?
a.
$\pi r / (\pi + 2)$
b.
$2 \pi / (\pi + 2)$
Correct Answer
c.
1
d.
2
Step-by-Step AI Explanation
Verified Method
Distance covered by Rahul = 1 complete circular lap = $2\pi r$.
Distance covered by father = semi-circle + straight line diameter back to start = $\pi r + 2r = r(\pi + 2)$.
Ratio of distances = $\frac{2\pi r}{r(\pi + 2)} = \frac{2\pi}{\pi + 2}$.
Q8mcq2 marks
Kavita starts from her house and walks 200 m northward, then turns 45° right and walks 70 m. After that, she turns 90° right and walks 70 m. Which of the following is the closest value of the shortest distance between Kavita's current location and her house?
a.
296 m
b.
240 m
c.
200 m
d.
223 m
Correct Answer
Step-by-Step AI Explanation
Verified Method
Representing the walk as vectors on the Cartesian plane (East = $+x$, North = $+y$):
1. Initial walk: $\vec{v}_1 = (0, 200)$
2. Turn $45^\circ$ right (North-East): $\vec{v}_2 = (70 \sin 45^\circ, 70 \cos 45^\circ) = (\frac{70}{\sqrt{2}}, \frac{70}{\sqrt{2}})$
3. Turn $90^\circ$ right from NE (South-East): $\vec{v}_3 = (70 \cos 45^\circ, -70 \sin 45^\circ) = (\frac{70}{\sqrt{2}}, -\frac{70}{\sqrt{2}})$
Total displacement $(x, y)$:
$$x = 0 + \frac{70}{\sqrt{2}} + \frac{70}{\sqrt{2}} = \frac{140}{\sqrt{2}} = 70\sqrt{2}\text{ m}$$
$$y = 200 + \frac{70}{\sqrt{2}} - \frac{70}{\sqrt{2}} = 200\text{ m}$$
Shortest distance:
$$D = \sqrt{x^2 + y^2} = \sqrt{(70\sqrt{2})^2 + (200)^2} = \sqrt{9800 + 40000} = \sqrt{49800} \approx 223.16\text{ m} \approx 223\text{ m}$$
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The initial monthly salaries of employees John, Riya, and Sunil were in the proportion 4:3:5. After an increase of Rs 10000 monthly to all, the new proportion becomes 6:5:7. What was the initial salary of Sunil?
a.
Rs 20000
b.
Rs 25000
c.
Rs 30000
d.
Rs 35000
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Numbers of Rose, Lotus, and Marigold plants in a garden are in the proportion 8:5:7. Later, 75%, 40% and 50% more plants of their respective categories were added. What will be the new proportion of plants, in the same order?
a.
5:3:4
b.
4:2:3
c.
5:4:3
d.
7:4:5
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Suresh asked Ramesh to identify the person in a photo that the latter is holding. Ramesh responds, "I have no brothers or sisters. However, that man's father is my father's son." Who is the person in the photo?
a.
Suresh
b.
Ramesh
c.
Ramesh’s son
d.
Ramesh’s cousin
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A stock market trader has lost two thirds of her investment on a day. Next day she recovered one third of the previous day’s loss. What fraction of her initial investment is she left with?
a.
$\frac{1}{3}$
b.
$\frac{2}{3}$
c.
$\frac{2}{9}$
d.
$\frac{5}{9}$
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Three friends, Mr. Rahman, Mr. George and Mr. Vedant, met after a long time. They were wearing red, green and violet colour shirts. Mr. Rahman and the person wearing violet shirt noticed that none of the three is wearing a colour that starts with same letter as his name. Which one of the following is the correct match of the persons with the colour of their shirts?
a.
Rahman-Violet, George-Red, Vedant-Green
b.
Rahman-Green, George-Violet, Vedant-Red
c.
Rahman-Green, George-Red, Vedant-Violet
d.
Rahman-Red, George-Violet, Vedant-Green
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A radioactive element X emits two $\alpha$ and one $\gamma$ particles to yield element Y of mass number 82. X also emits one $\alpha$ and one $\beta$ particles to yield element Z with an atomic number 44.
$$_{44}\text{Z} + \alpha + \beta \longleftarrow \text{X} \longrightarrow {^{82}\text{Y}} + 2\alpha + \gamma$$
The elements, X, Y and Z, respectively, are
a.
$^{90}_{45}\text{X}$, $^{82}_{42}\text{Y}$ and $^{88}_{44}\text{Z}$
b.
$^{90}_{45}\text{X}$, $^{82}_{41}\text{Y}$ and $^{86}_{44}\text{Z}$
c.
$^{91}_{45}\text{X}$, $^{82}_{41}\text{Y}$ and $^{86}_{44}\text{Z}$
d.
$^{91}_{45}\text{X}$, $^{82}_{42}\text{Y}$ and $^{86}_{44}\text{Z}$
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Consider the following unbalanced chemical reactions:
A. $\text{NH}_3 \rightarrow \text{NO}_2^-$
B. $\text{O}_2 \rightarrow \text{H}_2\text{O}_2$
C. $\text{NO}_2^- \rightarrow \text{NO}_3^-$
D. $\text{H}_2\text{S} \rightarrow \text{S}_8$
E. $\text{CO}_2 \rightarrow \text{CO}$
The reactions that are brought about by the chemolithotropic bacteria, are
a.
B, C and D only
b.
A, C and D only
c.
A, B and E only
d.
B, C and E only
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The correct statements about the copper-containing protein, hemocyanin, from the following
A. It is an extracellular protein.
B. It has an oligomeric structure with each sub-unit containing a pair of two copper atoms.
C. In deoxy form, the two Cu(I) atoms are separated by 2.8 Å.
D. The blue colour of oxy form is due to charge-transfer from superoxide-to-Cu(II) ion.
Are
a.
A and B only
b.
A and C only
c.
B and C only
d.
C and D only
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Consider the following statements about $\text{NO}$ and $\text{NO}_2$.
A. The unpaired electron is in $\pi^*$ orbital of $\text{NO}$ while it is in $\sigma_{\text{nb}}$ orbital of $\text{NO}_2$.
B. $\text{NO}$ does not prefer dimerization, whereas $\text{NO}_2$ does.
C. The reduction of $\text{NO}$ is comparatively easier than $\text{NO}_2$.
D. There is a center of inversion in $\text{NO}_2$.
The option with the correct statements is
a.
A and B only
b.
A and D only
c.
C and D only
d.
C and B only
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The correct statements about $\text{SnCl}_4$ and $\text{SnMe}_4$.
A. $\text{SnCl}_4$ forms $\text{SnCl}_6^{2-}$.
B. $\text{SnMe}_4$ does not form $\text{SnMe}_6^{2-}$.
C. $\text{SnCl}_4$ does not undergo hydrolysis.
D. $\text{SnMe}_4$ readily hydrolyses.
Are
a.
A and B only
b.
B and C only
c.
A and D only
d.
B and D only
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The correct statements about $\text{C}_{60}$ from the following
A. it exhibits greater degree of delocalization than benzene.
B. it is susceptible towards addition reactions than substitution reactions.
C. the spherical structure of $\text{C}_{60}$ makes the $\text{C}=\text{C}$ bonds more reactive.
D. its overall reactivity is more like cycloalkenes than benzene.
are
a.
B, C and D only
b.
A, B and C only
c.
A, B and D only
d.
C and D only
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The complete combustion of $9.83\text{ mg}$ of an organic compound ($\mathrm{C}_X\mathrm{H}_Y\mathrm{O}_Z$) gives $23.26\text{ mg}$ of $\mathrm{CO}_2$ and $9.52\text{ mg}$ of $\mathrm{H}_2\mathrm{O}$. The ESI-MS analysis of this compound gave a molecular ion peak at $130\text{ }(m/z)$. The value of $X$ is
[Given: Atomic weight: $\mathrm{C} = 12$; $\mathrm{H} = 1$; $\mathrm{O} = 16$]
a.
7
b.
3
c.
4
d.
8
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The major product formed in the following reaction is
$$\text{4-tert-butyl-1-methylcyclohex-1-ene} \xrightarrow{\text{i. } \text{Hg(OAc)}_2, \text{H}_2\text{O}} \xrightarrow{\text{ii. } \text{NaBH}_4}$$
Compound A on Hofmann exhaustive N-methylation procedure (involving two cycles), followed by ozonolysis (i. $\text{O}_3$; ii. $\text{Me}_2\text{S}$) gives benzaldehyde, formaldehyde and 2,2-dimethylpropanedial. The structure of A is
a.
4,4-dimethyl-2-phenylpiperidine
b.
3,5-dimethyl-2-phenylpiperidine
c.
6,6-dimethyl-2-phenylpiperidine
d.
4,4-dimethyl-3-phenylpiperidine
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The major products $\mathbf{A}$ and $\mathbf{B}$ formed in the following reactions are
$$\text{Norcamphor} \xrightarrow[\text{ii. } \text{H}_3\text{O}^+]{\text{i. } \text{MeMgBr}} \mathbf{A}$$
$$\text{2-Methylenenorbornane} \xrightarrow[\text{ii. } \text{H}_2\text{O}_2, \text{NaOH}]{\text{i. } \text{9-BBN}} \mathbf{B}$$
The wavefunction, $\Psi(x)$, of a one-dimensional quantum system is given by
$$\Psi(x) = A x \exp(-x^2 / a^2)$$
The dimension of $A$ is
[$L$ is the dimension of length]
a.
$L^{-1/2}$
b.
$L^{-3}$
c.
$L^{-3/2}$
d.
$L^0$ (dimensionless)
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Among the following linear combinations of determinants (written with the spatial wavefunctions $1s$ and $2s$ and electronic spin wavefunctions $\alpha$ and $\beta$, using 1 and 2 as labels of the two electrons), the one that denotes the un-normalized wavefunction of a triplet excited state ($1s^1 2s^1$) of He, is
For a diatomic molecule $\text{AB}$, the internuclear distance is $R$ and the internuclear axis is along the $z$-direction. The plot of the overlap integral $S$ for the $p_x$ orbital of $\text{A}$ and $d_{zx}$ orbital of $\text{B}$, against $R$, is
a.
1
b.
2
c.
3
d.
4
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Considering the potential energy at the equilibrium position ($x_e$) to be zero, the internuclear potential, $V(x)$ as a function of distance, $x$ between two atoms in a diatomic molecule is given by
$$V(x) = D_e[1 - e^{-\alpha(x-x_e)}]^2$$
where $D_e$ and $\alpha$ are two constants.
The force constant of the bond between the two atoms is
a.
$D_e\alpha^2$
b.
$2D_e\alpha^2$
c.
$\frac{1}{2} D_e\alpha^2$
d.
$2D_e\alpha$
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The correct option for a real solution formed by mixing liquid A with liquid B is
[Here $\text{K}_\text{B}$ is Henry's law constant and solid line represents real solution]
a.
1
b.
2
c.
3
d.
4
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Two conformations, A and B, of a single molecule have energies $5k_B T$ and $9k_B T$, respectively, at a temperature $T$. The fraction of molecules in conformation B is
a.
$e^{-9}/(1 + e^{-9})$
b.
$e^{-5}/(1 + e^{-5})$
c.
$1/(1 + e^{-4})$
d.
$1/(1 + e^{4})$
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The activation energy and enthalpy change in the reaction $\text{H}_2 + \text{I}_2 \to 2\text{HI}$, respectively, are $167\text{ kJ mol}^{-1}$ and $-8\text{ kJ mol}^{-1}$. Assuming the pre-exponential factors for production and decomposition of $\text{HI}$ to be same at all temperatures, the correct option is
[$k_p$ and $k_d$ are the rate constants for production and decomposition of $\text{HI}$, respectively]
a.
$k_p$ and $k_d$ have the same temperature dependence.
b.
$k_d$ changes more rapidly with temperature than $k_p$
c.
$k_p$ changes more rapidly with temperature than $k_d$
d.
The activation energies of production and decomposition reaction of $\text{HI}$ are same.
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For the reaction $\text{K} + \text{Br}_2 \to \text{KBr} + \text{Br}$, the rate constant can be described as $k = A \exp\left(-\frac{E_a}{RT}\right)$. Choose the correct option regarding activation energy ($E_a$) and pre-exponential factor ($A_E$: obtained from experiment and $A_T$: estimated using collision theory)
a.
$E_a > 0; A_T > A_E$
b.
$E_a < 0; A_T < A_E$
c.
$E_a = 0; A_T < A_E$
d.
$E_a \ge 0; A_T > A_E$
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The density, mass and unit cell edge length of a crystalline solid X are $2.7\text{ g cm}^{-3}$, $27\text{ g mol}^{-1}$ and $400\text{ pm}$, respectively. The crystal lattice of X is
a.
FCC
b.
BCC
c.
Simple cubic
d.
Tetragonal
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The plot shown below is for the rate of acid hydrolysis reaction of $[\text{Co}(\text{NH}_3)_5\text{X}]^{2+}$ at $25\text{ }^\circ\text{C}$, where $\text{X}$ is an anionic ligand ($\text{F}^-$, $\text{Cl}^-$, $\text{NO}_3^-$, $\text{H}_2\text{PO}_4^-$).
The correct option is
Consider the following reaction:
$$2\ \text{Cr(CO)}_6 + \text{X} \xrightarrow{\Delta} [(\text{CO})_5\text{Cr}-\text{H}-\text{Cr(CO)}_5]^- + \dots$$
$\text{X}$ is
a.
$\text{H}^+$
b.
$\text{H}^-$
c.
$\text{HO}^-$
d.
$\text{H}_2\text{O}$
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The correct statements regarding olefin polymerization involving metallocene and alkyl aluminum species, from the following
A. Trace amounts of water cause a significant increase in the rates of ethylene polymerization by the $\text{Cp}_2\text{TiEtCl}/\text{AlEt}_2\text{Cl}$ system
B. Methylaluminoxane (MAO) is employed as an activator for the catalyst, $\text{Cp}_2\text{ZrMe}_2$.
C. $\text{B(C}_6\text{F}_5)_3$ is an activator for $\text{Cp}_2\text{ZrMe}_2$.
D. The termination step of the polymerization reaction is $\beta$-hydride elimination.
are,
a.
A, B, C and D
b.
A, B and C only
c.
A, B and D only
d.
B, C and D only
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List I contains metal-alkyl compounds which do not undergo $\beta$-hydride elimination step and LIST II gives the reasons.
$$\begin{array}{|l|l|} \hline \textbf{LIST I} & \textbf{LIST II} \\ \hline \text{A. } \text{Platinacyclobutane, } L_2\text{Pt(C}_3\text{H}_6\text{)} & \text{P. A planar transition state is not accessible} \\ \text{B. } \text{Cobaloxime complex, } [\text{Co(dmgH)}_2(\text{Et})(\text{OH}_2)] & \text{Q. No vacant coordination site on the metal center} \\ \text{C. } \text{1-Norbornyl/1-Adamantyl-metal complex} & \text{R. Leads to a bridgehead olefin} \\ \text{D. } \text{Neopentyl-metal complex, } \text{M-CH}_2\text{C(CH}_3)_3 & \text{S. Lacks } \beta\text{-hydrogen} \\ \hline \end{array}$$
The option containing the correct match is
a.
A-P, B-Q, C-R, D-S
b.
A-Q, B-R, C-S, D-P
c.
A-R, B-S, C-P, D-Q
d.
A-S, B-P, C-R, D-Q
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List I contains metal-alkyl compounds which do not undergo $\beta$-hydride elimination step and LIST II gives the reasons.
LIST I:
A. $\text{L}_2\text{Pt(CH}_2\text{CH}_2\text{CH}_2)$ (platinacyclobutane)
B. $[\text{Et-Co(dmgH)}_2(\text{OH}_2)]$
C. 1-Norbornyl / 1-adamantyl metal complex
D. $\text{M-CH}_2\text{C(CH}_3)_3$ (neopentyl metal complex)
LIST II:
P. A planar transition state is not accessible
Q. No vacant coordination site on the metal center
R. Leads to a bridgehead olefin
S. Lacks $\beta$-hydrogen
The option containing the correct match is
a.
A-P, B-Q, C-R, D-S
b.
A-Q, B-R, C-S, D-P
c.
A-R, B-S, C-P, D-Q
d.
A-S, B-P, C-R, D-Q
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The correct number of stereoisomers and the correct number of enantiomeric pairs of $[\text{Co}(\text{trien})\text{Br}_2]^+$ ($\text{trien} = \text{triethylenetetraamine}$), respectively, are
a.
5 and 2
b.
4 and 2
c.
5 and 4
d.
6 and 4
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For complex $[\text{Ni}(\text{RNH}_2)_6]^{2+}$ ($\text{R} = \text{alkyl}$), $\Delta_o$ is $12,600\text{ cm}^{-1}$. The spin-orbit coupling constant ($\lambda$) for $\text{Ni}^{2+}$ ion is $-315\text{ cm}^{-1}$. The $\mu_{\text{eff}}$ (in BM) for the complex is closest to
a.
3.11
b.
2.97
c.
2.83
d.
2.55
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The Mössbauer spectra of $[\text{Fe(L)}_2]\text{I}_2$ ($L = \text{3,5-dimethyl-tris-pyrazolylborate}$), shown below, exhibit temperature-dependent spin-transition behaviour.
The correct statements from the following
A. At $295\text{ K}$, the $\text{Fe(II)}$ center is high-spin.
B. At $4.2\text{ K}$, the $\text{Fe(II)}$ center is low-spin.
C. At $295\text{ K}$, the $\text{Fe(II)}$ center is low-spin.
D. At $4.2\text{ K}$, the $\text{Fe(II)}$ center is high-spin.
E. At $166\text{ K}$, it represents a mixture of low-spin and high-spin $\text{Fe(II)}$ complexes.
are
a.
A, B and C only
b.
B, C and E only
c.
C, D and E only
d.
A, B and E only
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The correct match between the enzymes (Column P) and the biological functions (Column Q) from the table below
| Column P | Column Q |
| :--- | :--- |
| (a) Cytochrome C Oxidase | (i) DNA biosynthesis |
| (b) Tyrosinase | (ii) Hydrolysis |
| (c) Purple acid phosphatase | (iii) Oxidation of phenols |
| (d) Galactose oxidase | (iv) Oxidation of alcohols |
| (e) Ribonucleotide reductase | (v) Reduction of $\text{O}_2$ to water |
is
a.
a-iii, b-i, c-iv, d-ii, e-v
b.
a-i, b-ii, c-iii, d-iv, e-v
c.
a-v, b-iii, c-ii, d-iv, e-i
d.
a-ii, b-iv, c-v, d-i, e-iii
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Consider the following statements regarding corrin ring (P) and porphyrin ring (Q):
A. P is fully conjugated, rigid and bigger in size than Q.
B. P is fully conjugated, more flexible and ring size is same as Q.
C. P is partially reduced, more flexible and smaller in size than Q.
D. The flexibility of P supports multiple oxidation states of cobalt.
The correct statements are:
a.
A and B only
b.
C and D only
c.
A and D only
d.
B and D only
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The total number of lines expected in the EPR spectrum of a high-spin $\text{Mn(II)}$ complex [Given; $I_{\text{Mn}} = 5/2$; $I_{\text{N}} = 1$], for which the schematic diagram is shown below
is
a.
6
b.
54
c.
270
d.
30
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The correct statements regarding the inner-transition elements from the following
A. The absorptions in the electronic spectra involve $4f \rightarrow 4f$ and $4f \rightarrow 5d$ transitions.
B. The experimental magnetic moment of $\text{Eu}^{3+}$ ion is greater than the calculated spin-only magnetic moment.
C. The $4f \rightarrow 4f$ transitions are sharp while $4f \rightarrow 5d$ transitions are broad.
D. The peak positions for the $4f \rightarrow 4f$ transitions are marginally affected by the ligand environment.
are
a.
A, B and C only
b.
B, C and D only
c.
A, C and D only
d.
A, B, C and D
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The mass spectra of $\text{Pd}(\text{PPh}_3)_4$ alone and a mixture of $\text{Pd}(\text{PPh}_3)_4$ and sulfonated triphenylphosphine, $[\text{L}]^-$, are recorded on two different machines. The relevant data is given below.
$$\begin{array}{|l|l|l|c|c|c|c|c|}
\hline
\text{Species} & \text{Machine} & \text{Mode} & \multicolumn{5}{|c|}{\text{Relative intensity of the corresponding mass signal}} \\
\hline
& & & n=0 & n=1 & n=2 & n=3 & n=4 \\
\hline
[\text{Pd}(\text{PPh}_3)_n]^+ & \text{Machine I} & (+)\text{-ion} & - & 1\% & 22\% & 100\% & 8\% \\
\hline
[\text{Pd}(\text{L})(\text{PPh}_3)_n]^- & \text{Machine I} & (-)\text{-ion} & 2\% & 35\% & 100\% & - & - \\
\hline
[\text{Pd}(\text{L})(\text{PPh}_3)_n]^- & \text{Machine II} & (-)\text{-ion} & 12\% & 100\% & 1\% & - & - \\
\hline
\end{array}$$
Consider the following statements based on the above data:
A. Machine I provides a softer ionization conditions than Machine II.
B. In Machine I, the stable species under the MS conditions contain three phosphine ligands.
C. Mass data reveal ligand exchange reaction.
D. The increased prevalence of monophosphine ion, $[\text{Pd}(\text{L})]^-$, in Machine II is attributed to ion fragmentation.
The option containing the correct statements is
a.
A, B, C and D
b.
A, B and C only
c.
B, C and D only
d.
A, C and D only
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The number of microstates, the ground term, the energy separation between the ground term and the next excited state term of identical multiplicity, and the $j$ value for the lowest energy spin-orbit state for the ground state for a $d^3$ configuration, respectively, are
a.
120, ^4\text{F}, 15B, 3/2
b.
120, ^4\text{F}, 15B, 9/2
c.
156, ^4\text{F}, 15B+C, 3/2
d.
156, ^4\text{F}, 15B, 9/2
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The free ion ground term, the calculated spin plus orbital magnetic moment value, the calculated spin-orbit magnetic moment value and the observed magnetic moment value ($300\text{ K}$), for a gaseous $3d^5$ ion, respectively, are
The correct statements about agostic interactions from the following
A. It involves a three-center-two-electron interaction with a C-H bond of the ligand.
B. The C-H bond of the ligand involved in agostic interaction is lengthened.
C. Its presence is identified by an upfield chemical shift of the C-H bond of the ligand.
D. It lowers the $\text{p}K_a$ of the C-H bond of the ligand.
are
a.
A, B, C and D
b.
A, B and C only
c.
B, C and D only
d.
A, C and D only
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The correct sequence of processes involved in the following transformation is
$$\text{2-hydroxyadamantan-4-one} \xrightarrow[\text{ii. MeI}]{\text{i. NaH}} \text{4-methoxyadamantan-2-one}$$
a.
i. deprotonation, ii. O-methylation
b.
i. enolate formation, ii. retro-aldol reaction, iii. O-methylation
c.
i. deprotonation, ii. retro-aldol reaction, iii. O-methylation, iv. aldol reaction
d.
i. deprotonation, ii. retro-aldol reaction, iii. aldol reaction, iv. O-methylation
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The correct statement about the major product of the following reaction is
$$\text{exo-2-norbornyl brosylate (enantiopure)} \xrightarrow[\text{AcOH}]{\text{NaOAc}} \text{Product}$$
[$\text{Bs} = p\text{-bromophenylsulfonyl}$]
a.
A is formed and is optically active
b.
A is formed and is racemic
c.
B is formed and is optically active
d.
B is formed and is racemic
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