Name of the Centre :Tata Institute of Fundamental Research
Document type : Previous Question Papers
Name Of The Exam : GS Graduate School Admissions Exam
Name Of The Subject : Chemistry – X
Website : http://univ.tifr.res.in/admissions/
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GS 2017 Chemistry – X Question Paper :
Duration : Three hours (3 hours)
Related : Tata Institute of Fundamental Research Graduate School Admissions Exam GS Chemistry – Y Question Paper 2017 : www.pdfquestion.in/13101.html
1) For a hydrogen atom, which of the following orbital(s) have the lowest energy:
A) 4s
B) 4p
C) 4d
D) All of the above have same energy
2) Given an operator A and a set of vectors X which obey the following relationship X=Y where X is the set of scalars. If A commutes with B and B = A, which of the following is correct:
A) X are eigenvectors of A only if the X are all distinct (no two eigenvalues are equal)
B) X are eigenvectors of B
C) X are eigenvectors of B with set of eigenvalues X
D) X need not be eigenvectors of A
3) The non-bonded interactions between two molecules consist of electrostatic (El) and van der Waals (vdW) forces. Which of the following is a correct description of the distance dependence intermolecular interactions between two molecules?
A) At large distances, El interactions decay faster than the vdW interactions
B) At large distances, vdW interactions decrease faster than the El interactions
C) Which force drops faster depends on the net charge of the molecules
D) Both interactions have same distance dependence
4. All natural amino acids, except one, react with cold nitrous acid and produce nitrogen gas. Which one of the following is that odd amino acid?
A) Tryptophan
B) Glycine
C) Proline
D) Histidine
5. Zinc solid has hcp (hexagonal close packed) structure. In a unit cell of solid Zinc, the Zinc atoms occupy
A) 74% of volume of unit cell.
B) 80% of volume of unit cell.
C) 68% of volume of unit cell.
D) 90% of volume of unit cell.
6. An electron tunnels through a square barrier of width d and height h. If h is fixed and d is is normally distributed, then the electron transfer probability distribution is:
A) a normal distribution
B) a delta function
C) a log normal distribution
D) a poisson distribution
7. Given the molecular formula of the hexa-coordinated complexes
(I) Co Cl3 (NH3)6
(II) Co Cl3 (NH3)5
(III) Co Cl3 (NH3)4
If the number of coordinated NH3 molecules in (I), (II), and (III) respectively are 6, 5 and 4 then the oxidation state of Co in (I), (II) and (III) are respectively:
A) +6, +5, +4
B) +3, +2, +1
C) 0, +1, +2
D) +3, +3, +3
8. Cyclooctatetraene is
A) aromatic, because it is planar and it follows Hückel’s rule
B) antiaromatic, because it is not planar and it does not follow Hückel’s rule
C) antiaromatic, because it is planar and it does not follow Hückel’s rule
D) nonaromatic, because it is not planar and it does not follow Hückel’s rule
9. A compound with molecular formula C5H12O2, has strong infrared absorption at 3300 to 3400 cm-1. The 1H NMR spectrum showed three singlets at d 0.90, d 3.45 and d 3.20 ppm; with relative areas 3:2:1. Addition of D2O to the sample eliminates the lower field signal. The 13C NMR spectrum shows three signals all higher than d 100 ppm. Which of the following compounds best fits this data?
A) 1,5-pentanediol
B) 1,3-dimethoxypropane
C) 2,2-dimethyl-1,3-propanediol
D) 2,4-pentanediol
10. At 25 0C, if the pKa value for a weak acid is smaller than its aqueous solution pH by 2, what is the fraction of the acid in dissociated form?
A) 1.10 %
B) 99.01 %
C) 0.99%
D) More information is needed
11. The heat of formation (Hf) for the reaction 2Cu(s) + O2(g)-> 2CuO(s) is measured and plotted as a function of temperature (T). Of the 4 possible graphs shown below, which one would most likely represent the observed trend?
A) 1
B) 2
C) 3
D) 4
12. Assume that the temperature (T) dependence of ?G for a chemical reaction can be represented by an equation of the form ?G = x +Y+zT2 What is the expression for the heat capacity change at constant pressure, XCp?
A) x/T
B) -y
C) -2zT
D) Insufficient information
13. During isothermal expansion of an ideal gas which of the following happen:
(i) Temperature does not change
(ii) Process is spontaneous
(iii) The energy of the system does not change
(iv) Entropy increases
A) i and iii only
B) i, ii, and iv only
C) i, iii, and iv only
D) i, ii, iii and iv
14. In an experiment measuring the weight of the object, 100 repeats were performed by one student. He found the mean weight of 332 grams with standard error of the mean as 5 grams. A lazier student only performs 10 measurements on the same object. Which of the following values will her result be closest to?
A) 330 ± 50 grams
B) 400 ± 15 grams
C) 330 ± 15 grams
D) 330 ± 5 grams
15. A kid has been playing with an inflated balloon. Suddenly, a reaction happens inside the balloon. This causes the inside surface of the balloon to become sticky, so that some of he air molecules inside which collide against the surface get stuck to it. As a result, immediately after the reaction, the balloon will
A) Inflate
B) Deflate
C) Remain unaltered
D) Will change its shape without changing its volume