JEE MAIN EXAM 2017 Solutions / CODE C Date: 02 Apr 2017 1
1. Solutions, Since, or 2. Di iculty : Di icult Topic : coordination No of moles of ions moles. moles of gives moles of ions No. of outside the co - ordination sphere should be 2 3. Topic - Nitrogen containing compounds Aniline undergoes protination in con, so it undergoes metanitration 2
4. S-block, cold - dil 5. Di iculty : Di icult S-block, form basic carbonate while lithium from normal carbonate. 6. Topic : Environmental science ppm causes brown mottling of teeth ppm causes laxative ppm causes blue baby syndrome. 7. Polymers, Nylon - 6 is prepared from caprolactum,caprolactum on hydrolysis it gives aminocarboxylicacid it undergoes polymerisation to form Nylon - 6 3
8. Surface Tyndall e ect is observed when (1) The diameter fo the dispersed particle is not much smaller than the wavelength of the light used. (2) The refractive indices of the dispersed phase and dispersion medium di er greatly in magnitude. 9. Ionic equilibrium, For the hydrolysis of a salt of weak acid and weak base 10. Di iculty : Di icult CARBONYLS, DIBAL-H can reduce esters only, not carboxylicacids 4
11. Di iculty : Di icult Topic - Carbohydrates Sugar with hemiacetal are reducing sugar. 12. Di iculty : Di icult CARBONYLS, 13. Chemical Bonding, is diamagnetic only and has bond order 3.0. Rest all are paramagnetic 5
14. Topic - Alkylhalides To shown decolourisation compound must be unsaturated 15. P-block, 16. Thermodynamics, From First law of Thermodynamics for an Adiabatic process 6
17. GOC, Non aromatic compunds are less stable than aromatic 18. Topic - Alkylhalides Rate of stabiling 7
19. Mole concept, 20. Di iculty : Di icult Topic : Qualitative analysis is responsible for decolourisation of acidic solution of. 21. Mole concept, is by mass is kgs It replaced by weight is doubled i.e., kg kg increase 8
22. Topic - Hydrocarbons 23. Topic : Thermochemistry...(1)...(2) (1)+2 (2) and +(3)...(3) 24. d-block, 9
25. Atomic Structure, ; n = orbit number, 26. Chemical Kinetics, (At 300K) 27. Solid State, Distance of closest approach 28. Topic : Periodic properties in each species (all are isoelectronic). 10
29. Electrochemistry,, Strongest reducing agent is the atom/ ion which is easily oxidised i.e. having the largest value of standard oxidation potential (SOP) is the maximum value. 30. Topic - Hydrocarbons Product contains two chiral carbons so, 4 S.I 31. Math, Definite integration, 11
32. Math, Indefinite integration, (Put n = 4) 33. Di iculty : Di icult Math, Area under curve, Required area 12
34. Math, Probability, n = number of trials = 10 p = probability of drawing green ball = probability of success q = probability of failure As the trials are Bernoulli trials, variance = npq 35. Di erential Equations,...(I) I.F. of equation (I) is Hence answer is As So Now 13
36. Complex Numbers, Cube roots of unity, i.e. is non-real cube root of unity and 37. Math, Vectors, Using (2) in (1) we have 14
38. Circles, Conic Sections, If the radius of circle is r, then its centre will be In an isoscales right angled above, Remark : Observe that the required circle does not have to touch both the rays hence the radius of such circle can be as small as one wishes. Hence minimum radius does not exist. (However infimum radius is zero.) 39. Math, Di erentiation of one function with respect to another function, Put and as 15
40. Math, Probability, Two di erent numbers are taken from the set Let x + y = 4m...(II) x - y = 4n... (III), x > y Now x = 2(m+n) y = 2(m-n) Hence both x and y are even numbers Then x and y are both in form of 4k or 4k + 2 So order pair of (x, y) are So Probability 41. Limits, 42. Binomial Theorem, 16
43. Math, Probability, P(Exactly one of A or B occurs) Adding all three P (Atleast one event occurs) = 44. Math, Topic : Height & Distance 17
45. Conic Sections, Again and Hence equation of ellipse is and equation of normal at point is: Equation of normal at point is 46. Quadratic Equations, as 18
47. Math, Topic : Mathematical Reasoning T T T F T T T T F F F T F T F T T T T T T F F T T F T T Hence it is a Tautology. Alternate : 48. Application of derivatives, Equation of normal at will be which is satisfied by only in the given options. 49. Sequence & Series, are in AP 19
50. Math, Three Dimensional Geometry, Line PQ parallel to As point R lies on plane then Hence point R is (2, 2, 8) 51. Math, Trigonometric Ratios & Identities, 20
52. Sequence & Series, Functions, 53. Math, Three Dimensional Geometry, Normal perpendicular to both the lines Normal vector parallel to perpendicular where Hence equation of plane is Now distance from point (1, 3, -7) to the plane is 21
54. Determinants & Matrices, Cramer's Rule, As system no solution then when then both equation and obeserv that if then no solutions if then infinite solutions 55. Determinants & Matrices, Adjoint of square Matrix, 56. Math, Conic Sections, Which is satisfied by 22
57. Straight lines, or as Triangle has co-ordinates As one side is horizontal one altitude will be vertical arthocentre 58. Application of derivatives, 23
59. Functions, One-One Function (Injection), Onto Function (Surjection), is many one Range = Co-domain 60. Permutations & Combinations, 24
61. Wave optics, 62. Surface tension, 63. Modern Physics, 25
64. Work,Energy and power, 65. Physics, Heat and thermodynamics, for hydrogen for nitrogen 26
66. Rotational Mechanics, 67. Modern Physics, no. of undecayed nucleus no. of decyaed nucleus is 27
68. Current electricity, Null point does not change 69. Capacitors, 8 rows, then Get So minimum of capacitors are 28
70. Current electricity, By KVL : - So charge on capacitor is 71. Current electricity, P.d across each resistor is zero. Hence correct is zero in each resistor. 72. Physics, Topic - Communication System will not be there in the frequencies. 29
73. Physics, Topic - Semiconductor Voltage gain of the amplifier is -Ve sign indicates phase di erence is 74. Caloriemetry, Heat lost by ball = Heat gain by calmimetre and water 75. Wave optics, 4 th Bright of will coincide with 5 th bright of 30
76. Electrostatics, Since plane Consider dipole moment is in According to the problem 77. Rotational Mechanics, Torque of gravity about or 31
78. Elasticity, and or 79. Ray Optics, Diverging lens forms the image at its focus. The image formed by diverging lens in the object to converging lens. Distance of the object from converging lens is i.e., object is at double focal point. Image forms at double focal point on the other side of the lens. 80. Modern Physics, or The graph of Vs is as follows 32
81. Physics, Heat and thermodynamics, 82. Electromagnetic Induction( EMI ), or or or or or 83. Current electricity, or or or or 33
84. Work,Energy and power, or or or or At 85. Physics, Topic : Classical Magnetism Time period 34
86. Gravitation, The desired graph is 87. Kinematics, Velocity becomes negative a er same time and the negative slope is constant. 88. Modern Physics, 35
89. Simple harmonic motion, The period of K.E graph is half of the period of displacement graph. Comment :- The points on the graph on -axis should be di erentiable. In all option mentioned, the graph has cusps at the points on -axis. 90. Elasticity, 36