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1 1. Section-A contains 3 Multiple Choice Questions (MCQ). Each question has 4 choices,, and, for its answer, out of which ONLY ONE is correct. Fro Q.1 to Q.1 carries 1 Marks and Q.11 to Q.3 carries Marks each. 3. Section-B contains 1 Multiple Select Questions(MSQ). Each question has 4 choices,, and for its answer, out of which ONE or MORE than ONE is/are correct. For each correct answer you will be awarded arks. 4. Section -C contains Nuerical Answer Type (NAT) questions. Fro Q.41 to Q.5 carries 1 Mark each and Q.51 to Q.6 carries Marks each. For each NAT type question, the value of answer in between to In all sections, questions not attepted will result in zero ark. In Section A (MCQ), wrong answer will result in negative arks. For all 1 ark questions, 1/3 arks will be deducted for each wrong answer. For all arks questions, /3 arks will be deducted for each wrong answer. In Section B (MSQ),there is no negative and no partial arking provision. There is no negative arking in Section C (NAT) as well. Regn. No , Mall Ro, G.T.B. Nagar, Opp. G.T.B. Nagar Metro Station Gate No. 3, Delhi-11 9 Delhi DOWNLOAD CAREER ENDEAOUR APP: E : info@careerendeavour.in North Delhi : 33-35, Mall Ro, G.T.B. w : ww Nagar w.careerendeavour.in (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , 68619

2 Section-A : Multiple Choice Questions (MCQ) Q.1 to Q.1: Carry 1 Mark each. 1. If n,, are eigen functions of Lˆ x y L ˆ. The eigen value is none. The co-ordination nuber in a DCC unit cell is For a cell, M M X X Pt. The correct stateent is (Given : M M X X E E ) M X M X is spontaneous cell reaction M X M X is spontaneous cell reaction M X M X is spontaneous cell reaction None of the above 4. On passing gas fro high pressure to lower pressure under iabatic and isoenthalpic, cooling is observed. The experiental teperature is Less than inversion teperature Equal to inversion teperature Higher than inversion teperature Not enough inforation is provided 5. In a vessel containing SO 3, SO and O at equilibriu, soe heliu gas is introduced so that total pressure inceases while teperature and volue reain the sae. The dissociation of SO 3 Increases Decrease Reain unaltered Changes unpredictably 6. The S.I. of Molar conductivity is Sc ol 1 S ol 1 Sc 1 Sd 1 7. Expansion of a gas is carried out iabatically fro 1 to. The change in entropy of surrounding is C n p, Cv, n 1 1 T nrn T L of.1 M Ca(OH) is titrated with L of.1 M HCl. The ph of the resulting solution is In the following olecule the rotational active olecule is N N O CH 4 SF 6 1. The correct relation in the for of rotational constant is B B 4 I B Ic B 8 r North Delhi : 33-35, Mall Ro, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , 68619

3 Q.11 to Q.3: Carry Marks each. 11. The eigen value of oentu in x-direction w.r.to the eigen function ikx e is k k k k 3 1. If 3 x perturbation is applied to the ground state of a 1-D SHO, then energy correction is The average value of r is orbital is 3 a 3a 1 3 a none 14. The percentage volue unoccupied in a BCC unit cell is 54% 68% 74% 3% 15. The value of d 111 is 1 p. The value of d will be 5 p 1 p p 4 p 16. The first excited state wave function for a 1-D SHO is x x x None 17. In aqueous solution of NaCl, the ratio of velocity of Na + and Cl is 6 : 5. The M NaCl is 39.4 Sc ol 1. If M NaBr is 3 Sc ol 1. The ratio of velocity of Na + and Br is 1 : 1.4 : 1 1 : : The iniu work required by an engine to transfer 5J of heat fro reservoir at 1K to one at 3K is 5J 1J 15J J 19. For the phase diagra, Tep a C b A = 1% coposition B = 1% The degree of freedo at point a, b and c is, 1, 1 1, 1, 1,, 1,, 1 North Delhi : 33-35, Mall Ro, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , 68619

4 . The correct stateent aong the following is/are E cell is zero for concentration cell 4 E cell is zero at equilibriu Ecell E1 E where E 1 and E are reduction potential of half cell G for spontaneous cell reaction 1. The correct relation aong the following is G A T P P T P S S U H S P S U H S S P. For a reaction, A B Product The rate of reaction becoe three ties on increasing the concentration of B is 7 ties. The rate of reaction becoe double on doubles the concentration of A. The order of reaction The average kinetic energy of O and H at 3 K follows. (Consider both gas ideal) K.E O K.EH K.E O K.E H K.E O K.EH 4. The intercept of Tekin isother for vs ln is 1 1 K 5. The correct stateent about a olecule to be infrared active It should having change in dipole oent Molecule having syetric stretching Molecule having no dipole oent Molecule having paranent dipole oent cannot predicted 6. Which of the following olecules has icrowave spectra CO CH = CH C 6 H 6 OCS 7. The fundaental vibrational frequency v of a hoonuclear diatoic olecule with atoic ass and force constant k is 1 v k 1 k v 1 k v v k 8. Regarding B.E.T. theory of ultilayer sorption, the ratio is k1p 1 kp k p 1 p 1 p k p 1 p 1 p p 1 p k p 1 North Delhi : 33-35, Mall Ro, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , 68619

5 9. The correct stateent aong the following is 1 1 The slope of vs p plot for Languir sorption has unit of 1 3 pa c 5 The slope of p vs p for Languir sorption has unit of 3 c p The intercept unit of vs p Languir plot is c The intercept unit of vs p Languir plot is 3 pa c 3. Distribution of velocity of olecules is represented by the curve as shown fraction of olecules A B C a b c velocity velocities at point a, b and c represents average velocity, ost probable velocity and rs velocity (not necessarily in that order). Points b represents which of the following velocity 3RT M RT M 8RT M RT M Q.31 to Q.4: Carry Marks each. Section-B : Multiple Select Questions (MSQ) 31. Which of the following pair of operators do not coute ˆ xˆ and d dx 3. The Heritian operator(s) is/are x dˆ d and dx dx i x 33. The correct stateent(s) is/are All crystals are isotropic The nuber of forula units in CsCl is one There are four C 3 axes in a cubic crystal Miller indices can never be zero for a particular axis. 34. The correct stateent(s) regarding FCC unit cell is/are xˆ and p ˆ x 3 3 North Delhi : 33-35, Mall Ro, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , i x dˆ dx i x The nuber of Td d is 4 The nuber of Oh d is 8 Packing fraction is 74% Co-ordination nuber is 1 and dˆ dx

6 35. The correct stateent aong the following is/are For electrolytic cells, G nfecell Transport nuber is directly proportional to the velocity of ion The value of activity coefficient decrease with increase in ionic strength for dilute solution E cell is an extensive property. 36. Under isotheral condition, which of the following stateent is correct the change in internal energy for ideal gas is not zero with change in pressure Change in Cubbs free energy of a syste is equal to change in Helholtz free energy for ideal gas All the process in which T is isotheral process Heat lost by syste is equal to work done on the syste for ideal gas 37. In the dissociation of HI H I, the degree of dissociation will be affected by increase of teperature Addition of inert gas Increase of pressure Decrease of pressure 38. The correct stateent aong the following stateent is/are Rate constant increases with teperature The concentration of substrate at which rate of reaction is half of axiu rate is Miachelis-Menten constant At high pressure rate of reaction is first order with respect to concentration of substrate Faster step deterines the rate of reaction 39. The correct stateent in the following is/are Rotational constant increases with increase the bond length Rotational constant decreases with increase the reduce ass The intensity of spectral line depends on population In rotational spectra energy is proportional to J(J + 1) 4. The correct stateent about CO olecule Molecule having four noral odes of vibration Three ode of vibrations are IR active Syetric stretching ode is IR inactive Three bending odes are present in this olecule Section-C : Nuerical Answer Type (NAT) Q.41 to Q.5: Carry 1 Mark each. 41. The nuber of angular node(s) present in sin cos sin 1 is/are 4. ˆd x The eigen value of w.r.to., the function xe is dx 43. The nuber of edges coon to a corner in a cubic crystal is/are 44. M e M E.4 3 M 3e M E. 3 The electrode potential for half cell M e M is 45. In the titration of a solution of weak acid HX with.1 M NaOH, the ph is 5.8 after 1 L of NaOH solution has been ded and 6.4 after L of NaOH is ded. The ionisation constant of acid is North Delhi : 33-35, Mall Ro, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , 68619

7 NaCl aq Na aq Cl aq H 3.9 kj Na g Cl g NaCl s H 788 kj 3 Cl g Cl aq H kj The enthalpy of hydration of Na + ions is kj. 47. The lowest energy of a quantu echanical one diensional siple haronic oscillator is 5 c 1. The energy (in c 1 ) of the next higher level is 48. The spacing between the rotational lines of the HF is 8 c 1. the corresponding spacing between the rotational lines in DF is c Given that the ean average speed of oxygen is /s. The ost probable speed of oxygen under the sae condition is /s. 5. If the transittance for 1 c path length is 1%, then the transittance for c path length would be %. Q.51 to Q.6: Carry Marks each. 7 h 51. The degeneracy of the energy level having energy in a cubic box is 8 5. The co-ordination nuber of Na + in NaCl is 53. The interplanar spacing for (1) planes in a cubic crystal of side length 9 p is (in units of p) 54. In ion transport pup, the ratio of concentration of Na + inside and outside the pup is 5 : 3. The cell potential is. 55. The standard gibbs free energy (in kj ol 1 ) at 7ºC, for the following reaction using the given data CH g O g CO g H O 4 1 f 1 1 CH O CO H O 4 H kjol S JK ol The standard heat of foration of water is 68.3 kcalol 1. The standard heat of cobustion of C H is 31.6 kcalol 1 and the standard heat of cobustion of ethene is 337. kcalol 1. The heat of reaction for the hydrogenation of ethyne to ethene is kcalol The enthalpy of vapourization of water is 54 calg 1. The value of U for reversible isotheral evaporation of 9g of water at 1ºC is calorie. 58. The equilibriu foration of phosgene is representation as CO g Cl g COCl g The reaction is carried out in a 5 L flask. At equilibriu,.3 ol of phosgene,.1 ol of CO and.1 ol of Cl are present. The equilibriu constant for the reaction is 59. The fundaental vibrational frequency of HBr is c 1. The corresponding values for DBr is c The atoic asses of Fluorine and hydrogen are 19. a..u. and 1. a..u. respectively. The bond length of HF is 4Å. The oent of inertia of HF is 1 47 kg tr. ***** END OF QUESTION PAPER ***** North Delhi : 33-35, Mall Ro, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , 68619

8 Space for Rough Work 8 North Delhi : 33-35, Mall Ro, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , 68619

9 9 IIT-JAM CHEMISTRY-CY TEST SERIES - 1 (Physical Cheistry) Date : Booklet : A ANSWER KEY Section-A : Multiple Choice Questions (MCQ) Section-B : Multiple Select Questions (MSQ) 31., 3.,, 33., 34., 35., 36., ,, 39.,, 4.,, Section-C : Nuerical Answer Type (NAT) 41. (4 to 4) 4. ( to ) 43. (6 to 6) 44. (.5 to.54) 45. (7.87 to 7.9) 46. (-388 to -39) 47. (15 to 15)48. (38 to 41) 49. (175 to 178) 5. (1 to 1) 51. (4 to 4) 5. (6 to 6) 53. (9 to 9) 54. (.1 to.14) 55. ( to ) 56. (-41 to -4) 57. ( to 44.87) 58. (15 to 15) 59. (1413 to 1416) 6. (5 to 6) North Delhi : 33-35, Mall Ro, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-9, Ph: , South Delhi : 8-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : , 68619

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