JEE MAIN EXAM 2017 Solutions / CODE B
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1 / JEE - MAIN EXAM / Solutions / CODE - B JEE MAIN EXAM 2017 Solutions / CODE B Date: 02 Apr Di iculty : Easy 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. 1
2 / JEE - MAIN EXAM / Solutions / CODE - B 2. Di iculty : Easy Physics, Heat and thermodynamics, 3. Di iculty : Medium Current electricity, Null point does not change 4. Di iculty : Easy Surface tension, 2
3 / JEE - MAIN EXAM / Solutions / CODE - B 5. Di iculty : Easy Physics, Topic - Communication System will not be there in the frequencies. 6. Di iculty : Easy Ray Optics, Diverging lens fms the image at its focus. The image fmed 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 fms at double focal point on the other side of the lens. 7. Di iculty : Easy Rotational Mechanics, 3
4 / JEE - MAIN EXAM / Solutions / CODE - B 8. Di iculty : Easy Modern Physics, The graph of Vs is as follows 9. Di iculty : Easy Modern Physics, no. of undecayed nucleus no. of decyaed nucleus is 4
5 / JEE - MAIN EXAM / Solutions / CODE - B 10. Di iculty : Medium Electrostatics, Since plane Consider dipole moment is in Accding to the problem 11. Di iculty : Easy Physics, Topic - Semiconduct Voltage gain of the amplifier is -Ve sign indicates phase di erence is 12. Di iculty : Easy Physics, Heat and thermodynamics, f hydrogen f nitrogen 5
6 / JEE - MAIN EXAM / Solutions / CODE - B 13. Di iculty : Easy Caliemetry, Heat lost by ball = Heat gain by calmimetre and water 14. Di iculty : Easy Wk,Energy and power, 15. Di iculty : Easy Current electricity, 6
7 / JEE - MAIN EXAM / Solutions / CODE - B 16. Di iculty : Medium Rotational Mechanics, Tque of gravity about 17. Di iculty : Easy Modern Physics, 18. Di iculty : Medium Elasticity, 7
8 / JEE - MAIN EXAM / Solutions / CODE - B 19. Di iculty : Easy Electromagnetic Induction( EMI ), 20. Di iculty : Easy Wave optics, 4 th Bright of will coincide with 5 th bright of 8
9 / JEE - MAIN EXAM / Solutions / CODE - B 21. Di iculty : Easy Physics, Topic : Classical Magnetism Time period 22. Di iculty : Easy Gravitation, The desired graph is 23. Di iculty : Easy Current electricity, P.d across each resist is zero. Hence crect is zero in each resist. 9
10 / JEE - MAIN EXAM / Solutions / CODE - B 24. Di iculty : Easy Modern Physics, 25. Di iculty : Easy Elasticity, and 26. Di iculty : Easy Wk,Energy and power, At 10
11 / JEE - MAIN EXAM / Solutions / CODE - B 27. Di iculty : Medium Wave optics, 28. Di iculty : Easy Current electricity, By KVL : - So charge on capacit is 29. Di iculty : Easy Capacits, 8 rows, then Get So minimum of capacits are 11
12 / JEE - MAIN EXAM / Solutions / CODE - B 30. Di iculty : Easy Kinematics, Velocity becomes negative a er same time and the negative slope is constant. 31. Di iculty : Easy Straight lines, as Triangle has co-dinates As one side is hizontal one altitude will be vertical arthocentre 12
13 / JEE - MAIN EXAM / Solutions / CODE - B 32. Di iculty : Medium Quadratic Equations, as 33. Di iculty : Medium Functions, One-One Function (Injection), Onto Function (Surjection), is many one Range = Co-domain 13
14 / JEE - MAIN EXAM / Solutions / CODE - B 34. Di iculty : Easy 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 : 35. Di iculty : Medium 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 14
15 / JEE - MAIN EXAM / Solutions / CODE - B 36. Di iculty : Di icult Math, Area under curve, Required area 37. Di iculty : Medium Sequence & Series, are in AP 15
16 / JEE - MAIN EXAM / Solutions / CODE - B 38. Di iculty : Medium Permutations & Combinations, 39. Di iculty : Medium Application of derivatives, Equation of nmal at will be which is satisfied by only in the given options. 16
17 / JEE - MAIN EXAM / Solutions / CODE - B 40. Di iculty : Medium Math, Conic Sections, Which is satisfied by 41. Di iculty : Medium Sequence & Series, Functions, 17
18 / JEE - MAIN EXAM / Solutions / CODE - B 42. Di iculty : Medium Math, Vects, Using (2) in (1) we have 43. Di iculty : Easy Math, Topic : Height & Distance 18
19 / JEE - MAIN EXAM / Solutions / CODE - B 44. Di iculty : Easy Application of derivatives, 45. Di iculty : Easy Math, Definite integration, 19
20 / JEE - MAIN EXAM / Solutions / CODE - B 46. Di iculty : Easy Di erential Equations,...(I) I.F. of equation (I) is Hence answer is As So Now 47. Di iculty : Easy Math, Indefinite integration, (Put n = 4) 20
21 / JEE - MAIN EXAM / Solutions / CODE - B 48. Di iculty : Easy Complex Numbers, Cube roots of unity, i.e. is non-real cube root of unity and 49. Di iculty : Easy Binomial Theem, 50. Di iculty : Easy Limits, 21
22 / JEE - MAIN EXAM / Solutions / CODE - B 51. Di iculty : Medium Math, Trigonometric Ratios & Identities, 52. Di iculty : Medium Math, Three Dimensional Geometry, Line PQ parallel to As point R lies on plane then Hence point R is (2, 2, 8) 22
23 / JEE - MAIN EXAM / Solutions / CODE - B 53. Di iculty : Easy Math, Three Dimensional Geometry, Nmal perpendicular to both the lines Nmal vect parallel to perpendicular where Hence equation of plane is Now distance from point (1, 3, -7) to the plane is 54. Di iculty : Medium Math, Di erentiation of one function with respect to another function, Put and as 23
24 / JEE - MAIN EXAM / Solutions / CODE - B 55. Di iculty : Medium 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.) 56. Di iculty : Easy 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 24
25 / JEE - MAIN EXAM / Solutions / CODE - B 57. Di iculty : Easy Conic Sections, Again and Hence equation of ellipse is and equation of nmal at point is: Equation of nmal at point is 58. Di iculty : Medium 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 fm of 4k 4k + 2 So der pair of (x, y) are So Probability 25
26 / JEE - MAIN EXAM / Solutions / CODE - B 59. Di iculty : Medium Math, Probability, P(Exactly one of A B occurs) Adding all three P (Atleast one event occurs) = 60. Di iculty : Easy Determinants & Matrices, Adjoint of square Matrix, 61. Di iculty : Medium Topic - Nitrogen containing compounds Aniline undergoes protination in con, so it undergoes metanitration 26
27 / JEE - MAIN EXAM / Solutions / CODE - B 62. Di iculty : Easy Thermodynamics, From First law of Thermodynamics f an Adiabatic process 63. Di iculty : Easy Topic - Alkylhalides Rate of stabiling 27
28 / JEE - MAIN EXAM / Solutions / CODE - B 64. Di iculty : Easy Atomic Structure, ; n = bit number, 65. Di iculty : Easy Ionic equilibrium, F the hydrolysis of a salt of weak acid and weak base 66. Di iculty : Medium Polymers, Nylon - 6 is prepared from caprolactum,caprolactum on hydrolysis it gives aminocarboxylicacid it undergoes polymerisation to fm Nylon Di iculty : Medium Mole concept, is by mass is kgs It replaced by weight is doubled i.e., kg kg increase 28
29 / JEE - MAIN EXAM / Solutions / CODE - B 68. Di iculty : Medium Topic - Alkylhalides To shown decolourisation compound must be unsaturated 69. Di iculty : Medium d-block, 70. Di iculty : Di icult S-block, fm basic carbonate while lithium from nmal carbonate. 71. Di iculty : Easy Topic - Hydrocarbons Product contains two chiral carbons so, 4 S.I 29
30 / JEE - MAIN EXAM / Solutions / CODE - B 72. Di iculty : Medium Solid State, Distance of closest approach 73. Di iculty : Medium Chemical Kinetics, (At 300K) 30
31 / JEE - MAIN EXAM / Solutions / CODE - B 74. Di iculty : Di icult CARBONYLS, 75. Di iculty : Easy 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. 76. Di iculty : Di icult Topic - Carbohydrates Sugar with hemiacetal are reducing sugar. 31
32 / JEE - MAIN EXAM / Solutions / CODE - B 77. Di iculty : Easy Topic : Thermochemistry...(1)...(2) (1)+2 (2) and +(3)...(3) 78. Di iculty : Medium P-block, 79. Di iculty : Medium S-block, cold - dil 80. Di iculty : Easy Topic - Hydrocarbons 32
33 / JEE - MAIN EXAM / Solutions / CODE - B 81. Di iculty : Di icult Topic : Qualitative analysis is responsible f decolourisation of acidic solution of. 82. Di iculty : Medium Chemical Bonding, is diamagnetic only and has bond der 3.0. Rest all are paramagnetic 83. Di iculty : Medium Solutions, Since, 33
34 / JEE - MAIN EXAM / Solutions / CODE - B 84. Di iculty : Easy GOC, Non aromatic compunds are less stable than aromatic 85. Di iculty : Di icult Topic : codination No of moles of ions moles. moles of gives moles of ions No. of outside the co - dination sphere should be Di iculty : Di icult CARBONYLS, DIBAL-H can reduce esters only, not carboxylicacids 34
35 / JEE - MAIN EXAM / Solutions / CODE - B 87. Di iculty : Medium Topic : Environmental science ppm causes brown mottling of teeth ppm causes laxative ppm causes blue baby syndrome. 88. Di iculty : Medium Mole concept, 89. Di iculty : Medium 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. 90. Di iculty : Easy Topic : Periodic properties in each species (all are isoelectronic). 35
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