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email: [email protected]÷ªÙÞœüŒî¦ô¢Ù 12 ì÷Ùñô¢ª 2019 -

(Numerical Value Type)

Q.No.(46-50) are numerical answer typequestions. Maximum numerical value is lmitedto 4 numerical digits. In case of decimals,answer may be corrected to the seconddecimal. 4 marks for a correct attempt. No negativemarks for a wrong attempt.46. Let S = {2, 1, 1, 2} If x, y, z S then the

number of integer points on x2, y2, z2 = 9must be

1 2 1 247. The value of + + + + .... terms7 72 73 74

148. If (x) = x +.

12x +

12x +

2x + ....Then compute the value of (100). (100) =

49. Let (x + 10)50 + (x 10)50 = a0 +a1x + a2x2

a2+ ...... + a50x50 for all x R then =a0

50. 11(x) = (x) and g(x) = 1(x) and F(x) =

x 2

x 2

[()] + [g()] and given that F(5) = 52 2

then F(10) =

Physics

(Single Correct Answer Type)

Q.No.(51-70) are multiple option questions.Mark only one correct option.

4 marks for a correct marking. 1 mark for awrong marking.

51. In the relationP = (eaz/k); P is pressure

Z is distance, k is boltzman constant and is the temperature then the dimensionsof will be

1) [L2T2] 2) [ML2T]3) [MT1] 4) [L2]

52. A Boat which has a speed of 5 kmph in stillwater crosses a river of width 1 km alongthe shortest possible path in 15 min thevelocity of the river water in kmph is

1) 3 2) 1 3) 4 4) 41

53. A block of mass 2 kg rests on a roughinclined plane making an angle of 30 withthe horizontal. The frictional force on theblock is ( s = 0.7)

1) 4.9 N 2) 9.8 N

3) 0.7 9.8 3 N 4) 9.8

3 N

54. A bob of mass M is suspended by a mass-less string of length L. The horizontalvelocity at lowest position is 'v' is just suffi-cient to make it reach the highest point theangle at which the speed of the bob ishalf that at lowest point satisfies

1) = 2) < < 4 4 2

3 33) < < 4) < < 2 4 4

55. The ratio of earths orbital angular momen-tum about sun to its mass is 4.4 1015m2/ s.The area enclosed by earths orbit isnearly

1) 7 1022 m2 2) 5 1022 m2

3) 3 1022 m2 4) 1022 m2

56. Function x = A sin2 wt + B cos2 wt + C sinwt cos wt represents S.H.M1) for any value of A, B and C (except C = 0)2) If A = B; C = 03) If A = B; C = 2B; amplitude = B

2

4) If A = B; C = 2B, amplitude = B3

57. Water is filled in a cylindrical container to aheight of 3 m, the ratio of the cross sec-tional area of the orifice and the beaker is0.1. The orifice is at a height of 52.5 cmfrom the bottom. The speed of the liquidcomes out of the orifice is (g = 10 m/s)1) 5.25 m/s 2)

25 m/s

3) 50 m/s 4)

52.5 m/s

58. 300 gm of water at 25C is added to 100gm of ice at 0C. Final temperature of themixture is1) 10C 2) 0C 3) 25C 4) 5C

59. The plots of intensity versus wave lengthfor three black bodies at T1, T2, T3, Krespectively are as shown then

1) T1 < T2 < T3 2) T1 = T2 = T3

3) T1 > T3 > T2 4) T1 < T3 > T2

60. In Youngs double slit experiment intensityat a point is 14 of the maximum Intensityangular position of the point is

1) sin1() 2) sin1()d 2d

3) sin1() 4) sin1()3d 4d

61. In the following circuit the reading on theideal voltmeter (E = 5V and r = 0.2

51) 5V 2) 0 3) V 4) 35 V8

62.

What is the resistance of the resistor?1) 350 103 5% 2) 35 103 5% 3) 3.5 103 5% 4) 3.5 106 5%

63. An element i = x i is placed at the originand carries a large current 10 A. What isthe magnetic field on the Yaxis at a distance of 0.5 m (x = 1cm)

1) (4 108)i Tesla 2) (4 108) k Tesla

3) (4 108) j Tesla 4) (4 108) k Tesla

64. A pure inductor of 25 mH connected to asource of 220 V and 50 Hz then the cur-rent in the circuit

1) 1.4 A 2) 2.8 A

3) 14 A 4) 28 A

65. The magnetic field in a plane electromag-netic wave is given by

103 3By = 2 107 sin [x + 1011t] T2 2

then the expression for electric field

103 31) Ez = 60 sin [x + 1011t] V/m

2 2

103 32) Ex = 60 sin [x + 1011t] V/m

2 2

103 33) Ey = 60 sin [x + 1011t] V/m

2 2

103 10114) Ez = 60 sin [x + t] V/m

2 266. The work function of caesium is 2.14 eV.

Then the threshold frequency is .............. 1014 Hz1) 4.16 2) 5.16 3) 3.16 4) 51.6

67. De broglis wavelength associated with anelectron accelerated through a P.D of 100 V1) 0.123 mm 2) 0.123 m3) 0.123 nm 4) 0.123 A

68. The half life of 92U235 under going - decay is 4.5 109 years. What is theactivity of 1gm of 92U235

1) 1.23 104 Bq 2) 1.23 103 Bq3) 1.23 102 Bq 4) 1.23 Bq

69. The I - V characteristics of LED

1) 2)

3) 4)

70. 92U238 82Pb206 given how many particles.1) = 6, = 6 2) = 6, = 83) = 8, = 6 4) = 8, = 8

(Numerical Value Type)

Q.No.(71-75) are numerical answer typequestions. Maximum numerical value is limit-ed to 4 numerical digits. In case of decimals,

answer may be corrected to the seconddecimal. 4 marks for a correct attempt. No negativemarks for a wrong attempt.71. A pulse of light of duration 100 ns is

absorbed completely by a small object initially at rest. Power of the pulse is 30 mw. The final momentum of the objectis ...... 1017 kgm/s

72. The pressure of a medium is changedfrom 1.01 105 pa to 1.165 105 pa andchange in volume is 10% keeping temperature constant. The bulk modulusis....... 105 pa

73. A ray of light traveling in the direction 1 (i +

3 j ) is incident on a plane mirror

2after reflection it travels along the direction1 (i

3 j ) the angle of incidence is

2 .......... degree

74. A steel wire 0.72 m long has mass of 5 103 kg if the wire in under a tension of60 N the speed of the Transverse wave onthe wire

75. A transmitting antenna at the top of thetower has a height 32 m and the height ofthe receiving antenna is 50 m. What is theminimum distance between then for satis-factory communication in LOS mode.

(R = 6.4 106 m)

JEE Main - 2020 (January)Model Paper

NewPattern

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No. of Questions: 75 Max. Marks: 300 Time: 180 Minutes

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(This Model Paper was prepared by

Subject Experts of Sri Chaitanya IIT Academy,Andhra Pradesh, Telangana)

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CHEMISTRY

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MATHS

26-1; 27-2; 28-3; 29-4; 30-3; 31-1; 32-3; 33-1; 34-3; 35-2; 36-1; 37-2; 38-1; 39-2; 40-3; 41-4; 42-4; 43-4; 44-2; 45-2; 46-24;47-0.19; 48-100; 49-12.25; 50-5PHYSICS

51-4; 52-1; 53-2; 54-4; 55-1; 56-3; 57-3; 58-2; 59-3; 60-3; 61-2; 62-1; 63-2; 64-4; 65-1; 66-2; 67-3; 68-1; 69-1; 70-3; 71-1; 72-1.55; 73- 30; 74-93; 75-45.5

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