Chemical Science - English

It takes 2 hours for Tiwari and Deo to do a job. Tiwari and Hari take 3 hours to do the same job. Deo and Hari take 6 hours to do the same job. Which Of the following statements is incorrect ?

Abdul travels thrice the distance Catherine travels, which is also twice the distance that Binoy travels. Catherine's speed is 1/3 of Abdul's speed, which is also 1/2 of Binoy's speed. If they start at the same time then who reaches first ? 

For a certain regular solid : number of faces + number of vertices = number of edges + 2. For Three such distinct (not touching each other) objects, what is the total value of faces + vertices - edges ? 

A tall metal cylinder is filled end-to-end with n snugly fitting
spherical wax balls of diameter d. If the balls melt completely, the
volume fraction occupied by the melted wax is :

A, B, C, D are points on a circle with AB = 5 cm, BC = 12 cm, AC = 13 cm and AD = 7 cm. Then, the closest approximation of CD is— 

Choose the four digit number, in which the product Of the first & fourth digits is 40 and the product of the middle digits is 28. The thousands digit is as much less than the unit digit as the hundreds digit is less than the tens digit— 

Equilateral triangles are drawn one inside the other as shown. What is the ratio of the two shaded areas ?

A frog hops and lands exactly 1 metre away at a time. What is the least number of hops required to reach a point 10 cm away ? 

A train running at 36 km/h crosses a mark on the platform in 8 sec and takes 20 sec to cross the platform. What is the length of the platform ? 

When a polynomial f(x) is divided by x - 5 or x - 3 or x - 2, it leaves a remainder of 1. Which of the following would be the polynomial ? 

Water is slowly dripping out of a tiny hole at the bottom of a hollow metallic sphere initially full of water. Ignoring the water that has flowed away, the centre of mass of the system — 

The diagram (not to scale) shows the top view and cross section of a pond having a square outline and equal sized steps of 0.5 m width and 0.1 m height. What will be the volume of water (in m³) in the pond when it is completely filled ?

Which of the following is a carbohydrate ?

The S.I unit of temperature is :

 A notebook contains only hundred statements as under :
1.This notebook contains 1 false statement.
2.This notebook contains 2 false statements.
99.This notebook contains 99 statements.
100.This notebook contains 100 statements.
Which of the statements is correct ?

A chocolate bar having m x n unit square tiles is given, Calculate the number of cuts needed to break it completely, without stacking, into individual tiles —

A person paid income tax at the rate of R% for the first Rs. 2 lakhs. and at the rate Of (R + 10 %) for income exceeding Rs. 2 lakhs. If the total tax paid is (R + 5%) of the annual income, then what is the annual income ? 

An experiment leads to the following set of observations of the variable ‘ ’ at different times ‘ ’.
 t   0               1              2              3              4              5              6
 v   5              6.1          9.1          13.7        20.6        30.8        41.4
Allowing for experimental errors, which of the following expressions best describes the relationship between  and  ?

The difference between the squares of the ages (in complete years) of a father and his son is 899. The age of the father when his son was born —

A bicycle tube has a mean circumference of 200 cm and a circular cross section of diameter 6 cm. What is the approximate volume of water (in cc) required to completely fill the tube, assuming that it does not expand ? 

Identify the species, those obey 18 electron rule, from the following .

The following transformation is an example of - 

 [Ni^IIL₆]^{n+ or n-} shows absorption bands at 8500, 15400, and 26000 cm^-1 whereas [Ni^IIL’₆]^{n+ or n-}, at 17500 and 28200 cm^-1. L’ are respectively - 

The number of microstates present in ³F term is - 

CpM [Cp is (-C₅H₅)] fragment isolobal with a BH fragment is— 

The number of metal-metal bonds is—
[Co₂Fe₂(Co)₁₁( ₄ - PPh)₂] is— 

Correct combination of  and  orbitals in B₂ molecule is -

The correct shape of [TeF₅]^- ion on the basis of VSEPR theory is— 

The numbers of P-S and P-P bonds in the compound P₄S₃, are, are respectively — 

In the iodometric titration of sodium thiosul- fate (Na₂S₂O₃) with acidic dichromate solution, 25 mL of 0.1 M dichromate requires 25 mL of 'x' M thiosulfate. The value of 'x' is -  

Decomposition temperature of CaCO₃ in thermo-gravimetric analysis will be highest in dynamic atmosphere of— 

On two sequential electron capture, ₅₆Ba¹³¹ will give— 

The compound which dissolves in POCl3 to give a solution with highest chloride ion concentration, is — 

For monoionic complex [UO₂(NO₃)₃]^-, the correct coordination number and geometry respectively are — 

Chelate effect is— 

The major product formed in the following reaction is - 

Which among the following is an example of a Chemical Change ?

Who among the following conceived the first recognizable periodic table of chemical elements ?

In the ¹H NMR spectrum of myrtenal, the two methyl groups are expected to display signals at (chemical shift values in ppm)

The frontier orbital interactions involved in the formation of the carbocation intermediate in the reaction of isobutylene with HClare :

In the UV-visibIe absorption spectrum of an , -unsaturated carbonyl compound, with increasing solvent polarity — 

Which of the following defines the solubility of a solution ?

In the following compound, the stereochemical descriptor for H_a and H_b is— 

The correct statement are about the reaction of X and Y with NaNH2 are—

1. X reacts faster than Y
2.Y reacts faster than X
3. X and Y behave as Lewis acids
4. X is stronger Bronsted acid than Y

The correct statements about conformations X and Y of 2-butanone are—   

1. X is more stable than Y
2.Y is more stable than X
3.Methyl groups in X are anti
4. Methyl groups in Y are gauche 

The correct order of the magnitude of 'A for the given substituents in values' cyclohexane derivatives is— 

The correct order of pka values for the compounds X, Y and Z is— 

The following transformation proceeds through two consecutive electrocyclic processes, which are— 
  

The simultaneous eigenfunctions or angular momentum operators L² and L_z are —

An ideal gas is composed of particles of mass M in thermal equilibrium at a temperature T in one container. Another container contains ideal gas particles of mass 2M at a temperature 2T. The correct statement about the two gases is — 

The lowest energy term for the d' configuration 's — 

If the rates of a reaction are R₁ and R₂ at concentrations C₁ and C₂ of a reactant respectively. the order of reaction, (assuming concentrations of all other reactants and T remain constant) with respect to that reactant is given by— 

Experimentally determined rate law for the chemical reaction
                2NO₂F + 2NO₂ + F₂ is R = k[NO₂F]
The rate determining step consistent with rate law is—

The symmetry point group of the most stable geometry of the following moleculeCl(H) C = C = C(H)Cl is -  

The eigenfunctions of the Hamiltonian H(H = T + V) of a harmonic oscillator are (where T and V are kinetic energy and potential energy operators. respectively)— 

In a potentiometric titration, the end point is characterized by — 

On titrating conductometrically a NaOH solution with a mixture of HCIand CH₃CO₂H solutions. plot of the volume of mixed acid added (h) in y-axis against the conductance (a) in x-axis is expected to look like—

is the dimension of - 

 In a cubic crystal. the plane [100] is equally inclined to the planes—

The standard electrode potential E- at a fixed temperature and in a given medium is dependent on— 

In a titration, the percentage uncertainties in the measured aliquot volume and the measured titre volume are respectively. The percentage error in the calculated concentration of aliquot is — 

For an ideal gas at 300K— 

The first excited state of hydrogen molecule is - 

When river water containing colloidal clay flows into the sea, the major cause of silting 

Match the metal given in Column A with its medicinal use as a compound in Column B.
Column A
(a) GD                                                  
(b) Au
(c) Pt                                                    
(d) Li
Column B
1. Cancer
2. Maniac depression
3. MRI contrast agent
4. Arthritis
Correct match is - 

At pH 10, tryptophan exists as -

Complex [Cr(bipyridyl)₃]³⁺, shows red phosphorescence due to transition -

Choose the correct option for carbonyl fluoride with respect to bond angle and bond length — 

Which of the following react(s) with AsF₅ in liquid BrF₃ ?

Consider the following reactions :
1. NOCl + Sn      
2. NOCl + AgNO₃  →
3. NOCl + BrF₃ →       
4.NOCl + SbCl_5→
Reactions which will give [NO]⁺ as a major product are 

The complex that shows orbital contribution to the magnetic moment, is —

Among KF, SnF₄ and SbF₅, solute(s) that increase(s) the concentration of BrF₄- in BrF₃, is/are — 

Paramagnetic susceptibility of the order of 10^-6 cm3 mol^-1 observed for KMnO₄ is due to —   

Correct order of M—C bond length of metallocenes (a-c) —
1.[Fe( ⁵ - Cp)₂]
2.[Ni( ⁵ - Cp)₂]
3[Co( ⁵ - Cp)₂] is —

A 100 mL solution of 2.5 x 10^-3M in Bi(lll) and Cu(ll) each, is photometrically titrated at 745 nm with 0.1M EDTA solution. Identify correct statements for this titration—
1. Total volume of EDTA solution used is 5 mL
2.3 mL of EDTA is required to complex Bi(lll) and 2 mL for Cu(ll)
3. 2.5 mL of EDTA is used for each metal ion
4. First break in titration curve is for Cu(ll)
Correct statements are —

On continuous exposure of 10B sample to a slow neutron flux of 10¹⁶ m²s^-1, its 3% weight fraction disappears in 3 x 10⁷ s. Cross section for neutron capture (in barns) by 10B 

The ¹H NMR spectrum of at 23°C consists of sharp single line. The number of signals observed at low temperature (140°C) in its spectrum 

The g values for  are respectively— 

The number of 3c—2e bonds present in Al(BH₄)₃ 

The numbers of skeletal electrons present in the compounds C₂B₃H₅, C₂B₄H₆, and B₅H₉ are respectively — 

 Identify correct statements for the EPR spectrum of VO(acac)₂ [with square pyramidal geometry at vanadium] at 77 K [I(⁵¹V) = 7/2].
1.It has two g values.
2.It has 8 lines only.
 It has one g value.
4 It has two patterns of 8 lines each.
Correct statements are —

The numbers of lines shown by the BH₃ part of the moleculPh₃P.¹¹BH₃
in the ¹H and ¹¹B NMR spectra are, respectively [(¹¹B) = 3/2; I (³¹P) = 1/21]

To record Mössbauer spectrum of Fe containing samples, a source ‘X’  is used. X after a nuclear transformation (Y), gives -radiation used in Mössbauer spectroscopy. X and Y respectively, are — 

Correct combination of number and size of rings present in a metal ion-porphine complex (including metal ion bearing chelate rings) is - 

In human body cis-platin hydrolyzes to a diaqua complex and modifies the DNA structure by binding to— 

For fluxional Fe(CO)₅ (structure given below) in solution. the exchange of numbered CO groups will be between—

In the following reaction sequence

where dtc = dithiocarbamate and tds = thiuramdisulfide. Identify P, R, and S. Cp = ⁵ – C₅H₅ 

Heating a sample of  results in the formation of with elimination of 2 equivalents of CO. The Mo—Mo bond order in this reaction changes from— 

Choose the incorrect ‘Alloy – constituent metal’ pair :

Which of these metals has an ore named as ‘Malachite’ ?

What do we call the difference between the initial mass energy and the total mass energy of the decay products in a radioactive decay ?

Brass is an alloy of which of the following metals ?

The major products A and B in the following reaction sequence is - 

The major product formed in the following reaction sequence is - 

What is Tyndall effect ?

The major product in the following reaction is - 

The correct reagent combination to effect the following reaction is -  

Which of the following is correct about effective nuclear charge experienced by the orbital ?

What is the relationship between bond energy and bond length ?

The correct match for the following transformations P-S with the processes I-IV is—

 I. Diels-AIder
II. Non-ish Type I
III. Photocycloaddition followed by Diels-Alder
IV. Non-ish Type II

The orientation of an atomic orbital is governed by :

The major product formed in the following reaction is - 

The major product formed in the following reaction is - 

A solution is :

The intermediate A and the major product B in the following reaction sequence are - 

The correct structure of the compound, which shows following ¹³C NMR DEPT- 135 data is ¹³C NMR DEPT-135 : negative peaks at  30.2, 31.9, 61.8, 114.7 ppm; positive peak at 130.4 ppm 

The point group obtained by adding symmetry operation h to the point group C₄ is - 

The major products A and B formed in the following reaction sequence is -

 

The single-particle translational partition function ( f) for an ideal gas in a fixed volume V depends on the thermal de Broglie wavelength where— 

15 particles are distributed among 4 levels as shown in state I. Heat is given to the system and no work is done. The final state could be

Upon application of a weak magnetic field, a line in the microwave absorption spectrum of rigid rotor splits into 3 lines. The quantum number (J) of the rotational energy level from which the transition originates is— 

Phase diagram of a compound is shown below - 

 The slopes of the lines OA, AC and AB are  respectively. If melting point and H of melting are 300 K and 3 kJ mol^-1 respectively, the change in volume on melting is - 

The figure below describes how a Carnot engine works. It starts from the adiabatic compression step denoted by—

The ionization energy of hydrogen atom in its ground state is approximately 13.6 eV. The potential energy or He*, in its ground state is approximately —

The character table for the D₃ point group is provided below :

For this point group, the correct statement among the following is—

For a particle of mass m confined in a rectangular box with sides 2a and a, the energy and degeneracy of the first excited state, respectively are — 

If U is a function of V and T,  is equal to (and a are the internal pressure and the coefficient of thermal expansion, respectively.) 

The character table of C_3v point group is provided below, along with an additional reducible representation,

For the chemical reaction in aqueous solution
CH₂Cl COO^- + OH^-  CH₂OH COO^- + Cl^-
the correct statement is— 

If experimentally observed rate constant is greater than the maximum value of rate constant obtained using hard-sphere model of collision theory, then relation between the impact parameter (b) and sum of the radii of two reactants is —

Which of the following numbers is the largest ?

The cube ABCDEFGH in the figure has each edge equal to a. The area of the triangle with vertices at A, C and F is

What is the number of distinct arrangements of the letters of the word UGC-CSIR so that U and I cannot come together?

Suppose the sum of the seven positive numbers is 21. What is the minimum possible value of the average of the squares of these numbers?

Which of the following is true?

A circle of radius 5 units in the XY plane has its centre in the first quadrant, touches the x-axis and has a chord of length 6 units on the y-axis. The coordinate of its centre are

A wire of length 6 metres is used to make a tetrahedron of each edge 1 metre, using only one strand of wire for each edge. The minimun number of times the wire has to be cut is

If the sum of the next two terms of the series below is x, what is the value of log₂x?
2, –4, 8, –16, 32, –64, 128, .......

A conical vessel with semi-vertical angle 30° and height 10.5 cm has a thin lid. A sphere kept inside it touches the lid. The radius of the sphere (in cm) is

Amar, Akbar and Anthony are three friends, one of whom is a doctor, another is an engineer and the third is a professor. Amar is not an engineer. Akbar is the shortest. The tallest person is a doctor. The engineer’s height is the geometric mean of the heights of the other two. Then which of the following is true?

If 100 cats catch 100 mice in 100 minutes, then how long will it take for 7 cats to catch 7 mice?

What does this digram demonstrate?

Suppose there are socks of N different colours in a box. If you take out one sock at a time, what is the maximum number of socks that you have to take out before a matching pair is found? Assume that N is an even number.

At what time after 4 O’ clock, the hour and the minute hands will lie opposite to each other?

Which of the following curves just touches the x-axis?

If AB is paralleled to CD and AO = 2OD, then the area of triangle OAB is bigger than the area of triangle OCD by a factor of

Suppose we make N identical smaller spheres from a big sphere. The total surface area of the smaller spheres is X times the total surface area of the big sphere, where X is

What is the next number in the sequence 24, 30, 33, 39, 51,........?

Four lines are drawn on a plane with no two parallel and no three concurrent. Lines are drawn joining the points of intersection of the previous four lines. The number of new lines obtained this way is

For an odd nucleon in 'g’ nuclear orbital and parallel to I, spin and parity are

For the deposition of Pb by electroplating, the best suited compound among the following is

Appropriate reasons for the deviation form the Beer’s law among the following are
1. Monochromaticity of light
2. Very high concentration of analyte
3. Association of analyte
4. Dissociation of analyte

Which one of the following shows the highest solubility in hot concentrated aqueous NaOH?

In the vibrational spectrum of CO₂, the number of fundamental vibrational modes common in both infrared and Raman are

The light pink colour of [Co(H₂O)₆]²⁺ and the deep blue colour of [CoCl₄]^2– are due to

In Mo₂(S₂)₆]^2– cluster the number of bridging S₂^2– and coordination number of Mo respectively, are

1H NMR spectrum of HD would show

The number of possible isomers of [Ru(PPh₃)₂(acac)₂] (acac = acetylacetonate) is

The total number of Cu – O bonds present in the crystalline copper (II) acetate monohydrate is

The electronegativity difference is the highest for the pair

Which ones among CO₃^2–, SO3, XeO₃ and NO₃^– have planar structure?

The substitution of ⁵– Cp group with nitric oxide is the easiest for

The molecule

obeys 18 e rule. The two ‘M’ satisfying the condition are

The correct set of the biologically essential elements is

The  number  of  lines  exhibited  by a high resolution EPR spectrum of the species, [Cu(ethylenediamine₂]²⁺ is [Nuclear spin (I) of Cu = 3/2 and that of N = 1]

Degradation of penicillin G

gives penicillamine that can utilize nitrogen, oxygen or sulfur atoms as donors to bind with lead(II), mercury(II) or copper(II). The structure of penicillamine is

The molecule that has an S₆ symmetry element is

The electric dipole allowed transition in a d² atomic system is

When a hydrogen atom is placed in an electric field along the y-axis, the orbital that mixes most with the ground state Is orbital is

For water, H_vap ≈41 kJ mol^–1. The molar entropy of vaporization at 1 atm pressure is approximately

If A and B are non-commuting hermitian operators, all eigenvalues of the operator given by the commutator [A, B] are

The value of the commutator [x, px²] is given by

The correlation coeffcient between two arbitrary variable x and y is zero, if

A Carnot engine takes up 90 J of heat from the source kept at 300 K. The correct statement among the following is

The relative population in two states with energies E₁ and E₂ satisfying Boltzman distribution is given by n₁/n₂ = (3/2) exp. [–(E₁ – E₂)/K_BT], The relative degeneracy g₂/g₁ is

The Daniell cell is

If the concept of half-life is generalized to quarter-life of a first order chemical reaction, it will be equal to

Kohlrausch’s law is applicable to a dilute solution of

A dilute silver nitrate solution is added to a slight excess of sodium iodide solution. A solution of Agl is formed whose surface adsorbs

The absorption spectrum of O₂ shows a vibrational structure that becomes continuum at 56875 cm^–1. At the continuum, it dissociates into one ground state atom (O_g) and one excited state atom (O_e). The energy difference between O_e and O_g is 15125 cm^–1. The dissociation energy (in cm^–1) of ground state of O2 is

The correct representation of the variation of molar conductivity (y-axis) with surfactant concentration (x-axis) is [CMC = Critical Micelle Concentration]

The major product formed in the following reaction is

If the pK_a value for p-methoxy benzoic acid is 4.46 and that of benzoic acid is 43.19, the _para for methoxy group is

The biosynthetic precursor of cadinene is

The correct order of acidity of the compounds A-C is

The mechanism involved in the following conversion is

The correct statement(s) A-D are given for the following reaction. The correct one(s) is (are)

1. aromatic ipso substitution reaction
2. aromatic nucleophilic substitution
3. aromatic electrophilic substitution
4. aromatic free radical substitution

The following photochemical transformation proceeds through

A tripeptide gives the following products on Edman degradation.

The tripeptide is

In the 1H NMR spectrum recorded at 293 K, an organic compound (C₃H₇NO), exhibited signals at d 7.8 (1 H, s), 2.8 (3 H, s) and 2.6 (3 H, s). The compound is

In the IR spectrum of p-nitrophenyl acetate, the carbonyl absorption band appears at

The absolute configuration at the two chiral centres of (–)-camphor is

The major product formed in the following reaction is

The first person to separate a racemic mixture into individual enantiomers is

Consider the following statements for [18]-annulene:
1. it is aromatic
2. the inner protons resonate at d 9.28 in its 1H NMR spectrum
3. there are six protons in the shielded zone. 
The correct statements are

In the compound given below, the relation between H^A, H^B, and between Br¹, Br² is 

The most appropriate reagent to effect the following chemoselective conversion is

Among the following, an example of a ‘Green Synthesis’ is

The recoil energy of a Mossbauer nuclide of mass 139 amu is 2.5 Mev. The energy emitted by the nucleus in keV is

Complexes of general formula, fac-[Mo(CO)3(phosphine)3] have the C-O stretching bands as given below :
Phosphines : PF₃(A); PCl₃(B); P(Cl)Ph₂ (C); PMe₃(D) v(CO), cm^–1 : 2090(i); 2040(ii); 1977(iii); 1945(iv)
The correct combination of the phosphine and the streching frequency is

On subjecting 9.5 ml solution of Pb²⁺ of X M to polorographic measurements, I_d was found to be 1 A. When 0.5 ml of 0.04 M Pb²⁺ was added before the measurement, the I_d was found to be 1.25 A. The molarity X is

Match each item from the List-I (compound in solvent) with that from the List-II (its behaviour) and select the correct combination using the codes given below
List-I                                              List-II
(a) CH₃COOH in pyridine          1. Strong acid
(b) CH₃COOH in H₂SO₄                2. Weak acid
(c) HCIO₄ in H2SO₄                      3. Strong base
(d) SbF₅ in HF                           4. Weak base
Codes :

Structure of a carborane with formula, C₂B₄H₈ is formally derived from

Boric acid is a weak acid in aqueous solution. But its acidity increases significantly in the presence of ethylene glycol, because

Coordination number of ‘C’ in Be₂C₃ whose structure is correlated with that of CaF₂, is

For the molecule given below

Consider the following statements about its room temperature spectral data :
1. 1H NMR has singles at 5.48 and 3.18 ppm.
2. 1H NMR has multiplet at 5.48 and singlet at 3.18 ppm.
3. IR has CO stretching bands at 1950 and 1860 cm^–1.
4. IR has only one CO stretching band at 1900 cm^–1.
The correct pair of statements is

In the cluster [Co₃(CH)(CO)₉] obeying 18e rule, the number of metal-metal bonds and the bridging ligands respectively, are

Consider the ions Eu(III), Gd(III), Sm(III) and Lu(III). The observed and calculated magnetic moment values are closest for the pair

Silicates with continuous 3D framework are

The correct spinel structure of Co₃O₄ is

In the solid state, the CuCl₅^3– ion has two types of bonds. There are

In metalloenzymes, the metal centers are covalently linked through the side chains of the amino acid residues. The correct set of amino-acids which are involved in the primary coordination spheres of metalloen-zymes is

Consider the catalyst in Column-I and reaction in Column-II:
Column-I                                Column-II
(a) [(R)-BINAP]Ru^2–                1. Hydroformylation
(b) [Rh(CO)₂I₂]–                      2. Asymmetric hydrogenation
(c) Pd(PPh₃)₄                         3. Asymmetric hydrogen transfer
(d)                                  4. Heck coupling
The best match of a catalyst of Column-I with the reaction under Column-II is
Codes :

A solution of 2.0 g of brass was analysed for Cu electrogravimetrically using Pt-gauze as electrode. The weight of Pt-gauze changed from 14.5 g to 16.0 g. The percentage weight of Cu in brass is

The platinum complex of NH₃ and Cl– ligands is an anti-tumour agent. The correct isomeric formula of the complex and its precursor are

Successive addition of NaCl, H₃PO₄, KSCN and NaF to a solution of Fe(NO₃)₃·9H₂O gives yellow, colourless, red and again colourless solutions due to the respective formation of

Which one of following will not undergo oxidative addition by methyl iodide?

In hydroformylation reaction using [Rh(PPh₃)₃(CO)(H)] as the catalyst, addition of excess PPh₃ would

Find out the number of lines in the ³¹P NMR signal for

The rate of exchange of OH₂ present in the coordination sphere by ¹⁸OH₂ of, 
(i) [Cu(OH₂)₆]²⁺;     (ii) [Mn(OH₂)₆]²⁺; 
(iii) [Fe(OH₂)₆]²⁺;     (iv) [Ni(OH₂)₆]²⁺, 
follows an order

Based on the behaviour of the metalloenzymes, consider the following statements :
1. In the enzymes, the zinc activates O₂ to form peroxide species.
2. In the enzymes, the zinc activates H₂O and provides a zinc bound hydroxide.
3. In the oxidases, the iron activates O₂ to break the bonding between the two oxygens.
4. Zinc ion acts as a nucleophile and attacks at the peptide carbonyl.
The set of correct statements is

Fe²⁺-porphyrins fail to exhibit reversible oxygen transport and cannot differentiate CO from O₂. However, the haemoglobin is free both these pitfalls. Among the following :
1. Fe²⁺-porphyrins undergo [A-oxodimer formation and the same is prevented in case of the haemoglobin.
2. Fe-CO bond strength is much low in case of haemoglobin when compared to the Fe2+-porphyrins.
3. While Fe-CO is linear, Fe-O₂ is bent and is recognized by haemoglobin.
4. The interlinked four monomeric units in the haemoglobin are responsible to overcome the pitfalls.
The correct set of statements is

Reactions A and B are, termed as respectively

A metal crystallizes in f.c.c. structure with a unit cell side of 500 pm. If the density of the crystal is 1.33 g/cc, the molar mass of the metal is close to

The activation energy for the bimolecular reaction A + BC → AB + C is E₀ in the gas phase. If the reaction is carried out in a confined volume of ³, the activation energy is expected to

In a many-electron atom, the total orbital angular momentum (L) and spin (S) are good quantum numbers instead of the individual electron orbital (₁, ₂) and spin (s₁, s₂) angular momenta in the presence of

The packing fraction of a simple cubic lattice is close to

The number of IR active vibrational modes of pyridine is

One of the excited states of Ti has the electronic configuration [Ar]4s² 3d¹ 4p¹. The number of microstates with zero total spin (S) for this configuration is

The fugacity of a gas depends on pressure and the compressibility factor Z(=pV/RT)through the relation [ V is the molar volume] 

For most gases at temperature T and up to moderate pressure, this equation shows that

The internal pressure (U/V)_T of a real gas is related to be compressibility factor Z = p/RT by [ is the molar volume] 

Suppose, the ground stationary state of a harmonic oscillator with force constant k is given by ₀ = exp[–Ax2]Then, A should depend on k as

Combining two real wave functions a₁ and a₂, the following functions are constructed :
.
The correct statement will then be

Crystal A diffracts from (111) and (200) planes but not from (110) plane, while the Crystal B diffracts from (110) and (200) planes but not from the (111) plane. From the above, we may conclude that

The decomposition of NH₃ on Mo surface follows Langmuir-Hinshelwood mechanism. The decomposition was carried out at low pressures. The initial pressure of NH₃ was 10^–2 torr. The pressure of NH₃ was reduced to 10^–4 torr in 10 minutes. The rate constant of decomposition of NH₃ is

A polymer sample has the following composition.

The polydispersity Index (P.D.I.) of the polymer is

The equilibrium constant for an electrochemical reaction 
2Fe³⁺ + Sn²⁺2Fe²⁺ + Sn⁴+ is
[E0 (Fe³⁺ / Fe²⁺) = 0.75V, E0 (Sn⁴⁺ / Sn²⁺) = 0.15V, (2.303 RT / F) = 0.06V]

A bacterial colony grows most commonly by cell division. The change in the population due to cell division in an actively growing colony is dN = _gN dt. The population of bacterial colony at time t is [N₀ = N(t = 0)]

The Arrhenius parameters for the thermal decomposition of NOCl, 2NOCl(g) → 2NO(g) + Cl₂(g), are A – 10¹³ M^–1 s^–1, Ea = 105 kJ mol^–1 and RT – 2.5 kJ mol^–1. The enthalpy (in kJ mol–1) of the activated complex will be

The rotational partition function of H₂ is

The potential in Debye-Hiickel theory is proportional to

The vibrational frequency and anharmonicity constant of an alkali halide are 300 cm^–1 and 0.0025, respectively. The positions (in cm^–1) of its fundamental mode and first overtone are respectively

The adsorption of a gas is described by the Langmuir isotherm with the equilibrium constant K = 0.9 kPa^–1 at 25°C. The pressure (in kPa) at which the fractional surface coverage is 0.95, is

The energy of a harmonic oscillator in its ground state is According to the virial theorem, the average kinetic (T) and potential (V) energies of the above are

The energy of a hydrogen atom in a state is  (R_H = Rydberg constant) . The degeneracy of the state will be

The trial wave function of a system is expanded The approximate ground-state energy of the system from the linear variational principle is

One molecular orbital of a polar molecule AB has the form C_AA + C_BB, where _A and _B are normalized atomic orbitals of centred on A and B, respectively. The electron in this orbital is found on atom B with a probability of 90%. Neglecting the overlap between _A and _B, a possible set of C_A and C_B is

For the reaction A2  2A in a closed container, the relation between the degree of dissociation (a) and the equilibrium constant K_p at a fixed temperature is given by

4-Hydroxybenzoic acid exhibited signals at 171, 162, 133, 122 and 116 ppm in its broadband decoupled ¹³C NMR spectrum. The correct assignment of the signals is

An organic compound (C₉H₁₀O₃) exhibited the following spectral data :
IR : 3400,1680 cm^–1;
¹H NMR :  7.8(1H, d, J = 8 Hz), 7.0(1H, d, J = 8 Hz), 6.5(1H, s), 5.8(1H, s, D2O exchangeable), 3.9(3 H, s), 2.3(3 H, s).
The compound is

The [a]D of a 90% optically pure 2-arylpropanoic axid solution is +135º. On treatment with a base at RT for one hour, [] change to +120º. The optical purity is reduced to 40% after 3 hours. If so, the optical purity of the solution after 1 hour, and its [a]D after 3 hours, respectively, would be

In the following pericyclic reaction, the structure of the allene formed and its configuration are

In the following sequence of pericyclic reactions X and Y are

The major product formed in the following reaction is

The following conversion involves

The following transformation involves

With respect to the following biogenetic conversion of chorismic acid (A) to 4 hydroxyphenylpyruvic acid (C), the correct statement is

Match the following
List-I                                     List-II
(a) b-amyrin                       1. alkaloid, secondary alcohol
(b) squalene                       2. alkaloid, phenol
(c) morphine                       3. triterpene, secondary alcohol
(d) ephedrine                       4. acyclic triterpene, polyene
Codes:

In the following reaction, the structure of B, and the mode of addition are

In the following reaction A and B are

Match the following biochemical transformations with the coenzymes involved
    List-I
(a) a-ketoglutarate to glutamic acid
(b) uridine to thymidine
(c) pyruvic acid to acetyl coenzyme A 
    List-II
1. tetrahydrofolate
2. NADH
3. thiamine pyrophosphate
4. pyridoxamine
Codes :

The structure of the major product B formed in the following reaction sequence is

Given the energy of each gauche butane interaction is 0.9 k-cal/mol, AG value of the following reaction is

In the following reaction, the reagent I and the major product II are

The major product formed in the following reaction sequence is

12.0 g of acetophenone on reaction with 76.2 g of iodine in the presence of aq. NaOH gave solid A in 75% yield. Approximate amount of A obtained in the reaction and its structure are

Consider the following reaction mechanism.

The steps A, B and C, respectively, are

The major product formed in the following reaction sequence is

The major product B formed in the following reaction sequence is

The major product B formed in the following reaction sequence is

A cylinder of radius 1 cm and height 1 cm is broken into three pieces. Which of the following must be true?

For real number x and y, x² + (y – 4)² = 0. Then the value of x + y is

Every time a ball falls to ground, it bounces back to half the height it fell from. A ball is dropped from a height of 1024 cm. The maximum height from the ground to which it can rise after the tenth bounce is

A farmer gives 7 full, 7 half-full and 7 empty bottles of honey to his three sons and asks them to share these among themselves such that each of them gets the same amount of honey and the same number of bottles. In how many ways can this be done?
(bottles cannot be distinguished otherwise, they are sealed and cannot be broken) 

A car is moving along a straight track. Its speed is changing with time as shown.

Which of the following statements is correct?

If a + b + c + d + e = 10 (all positive numbers), then the maximum value of a × b × c × d × e is

How many nine-digit positive integers are there, the sum of squares of whose digits is 2?

A circle of radius 7 units lying in the fourth quadrant touches the x-axis at (10, 0). The centre of the circle has coordinates

One of the four—A, B, C and D committed a crime. A said, “I did it.” B said, “I didn’t.” C said, “B did it.” D said, “A did it.” Who is lying?

What is the arithmetic mean of

A circle circumscribes identical, closepacked circles of unit diameter as shown. ’What is the total area of the shaded portion?

There are 2 hills, A and B, in a region. If hill A is located N30°E of hill B, what will be the direction of hill B when observed from hill A? (N 30°E means 30° from north towards east).

What is the next number in the following sequence?
39, 42, 46, 50, ......

What is the perimeter of the given figure, where adjacent sides are at right angles to each other?

Three fishermen caught fishes and went to sleep. One of them woke up, took away one fish and 1/3rd of the remainder as his share, without others’ knowledge. Later, the three of them divided the remainder equally. How many fishes were caught?

(25 ¸ 5 + 3 – 2 × 4) + (16 × 4 – 3) =

Consider the sequence of ordered sets of natural numbers
{1}, {2, 3}, {4, 5, 6}, ...
What is the last number in the 10th set?

A student buys a book from an online shop at 20% discount. His friend buys another copy of the same book in a book fair for  192 paying 20% less than his friend. What is the full price of the book?

366 players participate in a knock-out tournament. In each round all competing players pair together and play a match, the winner of each match moving to the next round. If at the end of a round there is an odd number of winners, the unpaired one moves to the next round without playing a match. What is the total number of matches played?

What does the diagram establis?


Note : The diagram is a circle inside a square

The boiling point of a solution of non-volatile solid is higher than that of the pure solvent. It always indicates that

When Frenkel defects are created in an otherwise perfect ionic crystal, the density of the ionic crystal

The correct thermodynamic relation among the following is

The molecule in which the bond order increases upon addition of an electron is

The volume of a gas adsorbed on a solid surface is 10.0 mL, 11.0 mL, 11.2 mL, 14.5 mL and 22.5 mL at 1.0, 2.0, 3.0, 4.0 and 5.0 atm. pressure, respectively. These data are best represented by

A compound of M and X atoms has a cubic unit cell. M atoms are at the comers and body centre position and X atoms are at face centre positions of the cube. The molecular formula of the compound is

The angle at which the first order Bragg reflection is observed from (110) plane in a simple cubic unit cell of side 3.238 Å, when chromium Ka radiation of wavelength 2.29 Å is used, is

Michael Faraday observed that the colour of colloidal suspensions of gold nanoparticles changes with the size of the nanoparticles. This is because

A reactor contains a mixutre of N₂, H₂ and NH₃ in equilibrium (KP = 3.75 atm^–2). If sufficient he is introduced into the reactor to double the total pressure, the value of KP at the new equilibrium would be

Electrolysis of an aqueous solution of 1.0 M NaOH results in

In a potentiometric titration, the end point is obtained by observing

The orbital with two radial and two angular nodes is

The energy of 2s and 2p orbitals is the same for

If a homonuclear diatomic molecule is oriented along the Z-axis, the molecular orbital formed by linear combination of P_x orbitals of the two atoms is

In the mechanism of reaction, H₂ + Br₂ → 2HBr, the first step is

The cell voltage of Daniel cell [Zn]ZnSO₄(aq) || CuSO₄(aq)[Cu] is 1.07 V. If reduction potential of Cu²⁺ [Cu is 0.34 V, the reduction potential of Zn²⁺ | Zn is

According to Arrhenius equation (k = rate constant and T = temperature)

The IUPAC name of the compound given below is

A suitable organocatalyst for enantioselective synthesis of Wieland-Miescher ketone (A) is

The major product formed in the reaction of styrene with an excess of lithium in liquid ammonia and t-butylalcohol is

In the IR spectrum of p-nitrophenyl acetate, the carbonyl absorption band appears at

Amongst the following, the compound which has the lowest energy barrier for the cis-trans isomerisation is

For estrone, among the statements A-C, the correct ones are
1. it is a steroidal hormone
2. it has two hydroxyl groups
3. it has one ketone and one hydroxyl groups

An organic compound having the molecular formula C₁₀H₁₄ exhibited two singlets in the ¹H NMR spectrum, and three signals in the ¹³C NMR spectrum. The compound is

The major product formed in the following reaction is

L-DOPA is used for the treatment of

The following reaction proceeds through a

The major product formed in the following reaction is

he constituent amino acids present in the following dipeptide, respectively, are

The two benzylic hydrogens H_A and H_B in the compounds I and II, are

Deuterium kinetic isotope effect for the following reaction was found to be 4.0. Based on this information, mechanism of the reaction is

The number of nodes present in the highest occupied molecular orbital of 1, 3, 5-hexatriene in its ground state is

The major product formed in the following reaction is

For acylation with acetic anhydride/ triethylamine, and oxidation with chromium trioxide of the trans- and cis-alcohols A and B, the correct statement is

Patients suffering from Wilson’s disease have

High dose of dietary supplement ZnSO₄ for the cure of Zn deficiency

The bond order of the metal-metal bond in the dimeric complex [Re₂Cl₄(PMe₂Ph)₄]+ is

Among the molten alkali metals, the example of an immiscible pair (in all proportions) is

Among the following, an example of a hypervalent species is

Commonly used scintillator for measuring g-radiation is

A sample of Aluminium ore (having no other metal) is dissolved in 50 mL of 0.05 MEDTA. For the titration of unreacted EDTA, 4 mL of 0.05 M. MgSO₄ is required. The percentage of A1 in the sample is

Which of the following is not suitable as catalyst for hydroformylation?

In a cluster, H₃CoRu₃(CO)₁₂ total number of electrons considered to be involved in its formation is

Among the following the correct acid strength trend is represented by

An octahedral metal ion M²⁺ has magnetic moment of 4.0 B.M. The correct combination of metal ion and d-electron configuration is given by