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1 -0-8_Sr. IIT_IZ_Ph-I_JEE-ADV_New Model-_P_GTA-9_Key&Sol s Narayaa IIT Academy INDIA Sec: Sr.IIT_IZ GTA-9 Date: -0-8 Time: 0:00 PM to 05:00 PM NEW Model-(P) Ma Marks: 64 KEY & SLUTINS MATHS AB ABC 3 AB 4 BD 5 ABD 6 ABC 7 A 8 B 9 BD 0 C AD AD PHYSICS 3 ABD 4 ABC 5 C 6 ACD 7 AB 8 BD 9 AB 30 BCD 3 BC 3 ACD 33 ACD 34 ABC CHEMISTRY 45 BC 46 BC 47 BD 48 CD 49 BC 50 AC 5 B 5 C 53 B 54 B 55 B 56 D Sec: Sr. IIT_IZ Page
2 -0-8_Sr. IIT_IZ_Ph-I_JEE-ADV_New Model-_P_GTA-9_Key&Sol s MATHS. f is zero at = -/4 ad does ot eist at = 0. The sum of the squares of the perpediculars from P o the sides of the polygo is a c. 3. th term is obtaied by retrievig the biary form of with base 3 4. Replace with y- ad compare coefficiets 5. Plot the graph 6. from the give relatios we get f ( ) f ( ) 3 7. Coceptual 8. Coceptual 9 & 0. &. R ì k-, k ³ k - k + ( ) ( ), k Î 0, f k = í, k = 0 î - k, k < 0 3. Equatio of the circle y y y r 4 Largest circle is possible If Touches -ais (or) touches y-ais r 4. Let the prime be p, 0 p 99 the p appears twice i the deomiator, thus we eed p to appear as factor atleast thrice i the umerator. The largest such prime is 6 5. The sequece is a, b, b-a, -a, -b, a-b,a,b. (if first two terms are a ad b resp.) Therefore the series repeats after every si terms ad the sum of these si terms is 0. S(49) b a 985 Sec: Sr. IIT_IZ Page
3 S(985) b a _Sr. IIT_IZ_Ph-I_JEE-ADV_New Model-_P_GTA-9_Key&Sol s S(00) b a, b, c are give by,, Sice a is least amog them a 7. Put t we get,,, or, 8 P p, P() 0, P p Sec: Sr. IIT_IZ Page 3 9. Area of the polygo formed by,,,...,, where cis is cot ta 4 r r r r r P P P P P ,si ce TaB / TaC /. orthoceter is the P.I. of give pair of perpedicular lies. Vector alog A.B. is â b ˆ PHYSICS 3. I double star system, stars rotate about C.M. with same agular speed due to atural gravitatioal attractio. 4. FD t = DP & F. D S = DK 5. Force o A is alog the legth of strig 6. Coceptual. Refer theory 7. C will discharge ad C will get charged 8. For parallel to -y plae. Z= costat 9 & & & 34. Motio of charged particle will be similar to motio of plaets aroud sum Apply super positio priciple For AB UP = cost Þ P = cost (isobaric)
4 BC isochoric -0-8_Sr. IIT_IZ_Ph-I_JEE-ADV_New Model-_P_GTA-9_Key&Sol s CA bothermal 35. Cosider i idetical coe to have a closed surface & apply gasses law PU = cost Þ PV = cost 37. t = I a 38. Distace = speed time 39. F = M a 40. t = M B = I a 4. For reflectio, surface act as mirror 4. Fro memless rod, et force & torque must be zero 43. Loss i eergy will be used to ecited the atom CHEMISTRY 45. (B, C) V r.m.s T Whe temperature becomes four times velocity also become four times. Also at fied volume if pressure becomes four times by heatig it will also icrease the temperature to four times. 46. (B, C) 47. (B, D) NaH P 3 + NaH Na HP 3 + H (H 3 P 3, f = ) Na HP 3 + NaH No reactio(h 3 P 3, f = ) NaH P + NaH No reactio(h 3 P, f = ) Na HP 4 + NaH Na 3 P 4 + H (H 3 P 4, f = 3) H H D H + KCr 7, H CH = CH CH CH H 3 D H C H + HC C CH 3 SCl SCl C Cl D (X) Cl C C CH 3 (Y) 48. (C, D) Sec: Sr. IIT_IZ Page 4
5 -0-8_Sr. IIT_IZ_Ph-I_JEE-ADV_New Model-_P_GTA-9_Key&Sol s I flourite structure, catios form the lattice & aios occupy each of tetrahedral voids. 49. (B, C) Weight of C H m i gm = 600 amu = g = 4 w M (4 6m) 50. (A, C) 5. (B) (M = m & N = g) M M 50 ml CH3CH 0 ml NaH CH3CNa H 0 0 Mili moles Case - Acidic Buffer ph= pk a + log [Salt] [Acid] = log = [log log 4] = [0 0.6] ph = 4. e N 5. (C) 53. (B) E/kT (.380 )(000).6 e e N Hece (B) is correct. A A tricliic system does ot posses ay plae of symmetry. Cube has 9 plae of symmetry, moocliic system has oe plae of symmetry, rhombohedral has 7 plae of symmetry. Hece choice (C) is correct. Sec: Sr. IIT_IZ Page 5
6 -0-8_Sr. IIT_IZ_Ph-I_JEE-ADV_New Model-_P_GTA-9_Key&Sol s Absorptio of photos by crystal produces atomic displacemet leadig to imperfectios. 54. (B) Electro releasig group decreases acidic ature hece highest pk a. 55. (B) I aqueous solutio º amie is more basic tha 3º & the comes º. 56. (D) For iodie + R is least. 57. As. 0 Let the mass is gm the, o. of atoms i cotaier A = & i cotaier B = Now, the differece is NA NA N A 58. As. 4 M 59. As. 6 N 60. As = 0 M H 4 4 H N 4 N 4 A 6 CH NH H CH N H H ( ) Kb 0. r 0. = = 4 0 Percetage protoatio = 4% 6. As N A 78 Sec: Sr. IIT_IZ Page 6
7 (0.75) Kp 9 (0.5) -0-8_Sr. IIT_IZ_Ph-I_JEE-ADV_New Model-_P_GTA-9_Key&Sol s 6. As As. 4 E a (Ea E a E 3 a E 4 a ) 5 Mg, Cu, Z, Pb Ca +, Sr + & Ba + Precipitates as Precipitates as basic carboates ormal carboates. Al +, Cr +, Fe + precipitates as hydroides 64. As. Molecularity is. 65. As. Cr 66. As. 3 CN CN 4 6 Brow ppt. y X Co(II) Co(CN) [Co(CN) ] Sec: Sr. IIT_IZ Page 7
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