Jan 9, 2019 - The density (g/cm3) of its solid is, if M.M. = 63.5 g/mol. ... CH3. CH2. |. Ans. [3]. Q.8. Which process observe increase in bond order ...

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JEE Main Online Paper

JEE Main Online Exam 2019 [Memory Based Paper] Questions & Answer 9th January 2019 | Shift - II CHEMISTRY Q.1

Which of the following element form nitride on reaction with Air -

Ans.

(1) Li [1]

Q.2

Cu form FCC crystal lattice having a = x Aº. The density (g/cm3) of its solid is, if M.M. = 63.5 g/mol. (1)

422 x3

Ans.

[1]

Q.3

2A + B production

(2) Cs

(2)

205 x3

If conc. of A and B is double the initial rate from 0.3 the rate of reaction become 0.6

Ans. Q.4 Ans.

(1) order w.r.t. A is 2 [2]

(3) K

(3)

(4) Rb

212 x3

(4)

155 x3

M M to 2.4 and when the conc. of A is doubled s s

M . Thens

(2) order w.r.t. B is 2

(3) order w.r.t. B is 1

k1 k2 A2 + B2 2AB ; 3A2 + 3B2 6AB. Relation between k1 and k2 (1) k2 = k13 (2) k1 = k23 (3) k2 = 3k1 [1]

(4) overall order is 4

(4) k1 = 3k2

Q.5 O O O || || || NH 2 CH C NH CH C NH CH C OH | | | CH CH 3 CH 2 CH OH | | | CH 3 OH CH 3

Ans.

Sequence of amino acids in above tripeptide (1) Leu – Ser – Val (2) Val – Ser – Thr [2]

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(3) Val – Ser – Pro

(4) Phe – Ser – Val

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Q.6 Ans.

JEE Main Online Paper

What is pH of Rain water (1) 5.6

(2) 7.6

(3) 7

(4) 10

[1] O ||

OH |

CH3

Q.7

O

/AlCl3

OH |

OH |

CH3

(1)

CH3

(2) | C–CH2–CH2–CH2–OH || O

OH |

CH3

(3) | C

O

CH3

(4) | O

CH–C | CH3

OH |

CH2 | CH2–CH2

CH2 | CH3

O

Ans.

[3]

Q.8

Which process observe increase in bond order and change from paramagnetic to diamagnetic (1) O 2 O 2

Ans.

[2]

Q.9

O O || CH3–C–H +

(2) NO NO

dilute base

O || (1) CH3–CH–CH2–C–Ph | OH

(4) N 2 N 2

major product

OH O | || (2) Ph–C–CH2–C–H | CH3

Ans.

[1]

Q.10

Reason for temporary hardness (1) NaCl

(3) O 2 O 2

(2) BaCl2

CH3 | (3) Ph–C–CH2–C–Ph || | O OH

(4) None of these

(3) CaCl2

(4) Ca(HCO3)2

Ans.

[4]

Q.11 Ans.

Reducing strength of H3PO2 is due to which of the following (1) 1 P–OH bond (2) 2 P–OH bond (3) 2 P–H bond [3]

Q.12

Which of the following is not aromatic -

(4) 1 P–H bond

(1)

(2)

(3) N

Ans.

NH

(4)

[1]

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Q.13

JEE Main Online Paper

Which of the following has maximum tendency to coagulate As2S3 (1) AlCl3 (2) BaCl2 (3) Na3PO4

Ans.

[1]

Q.14

Which of the following has highest heat of atomization ? (1) Sc (2) V

(4) NaCl

(3) Fe

(4) Zn

Ans.

[2]

Q.15

2C57H110 + 169O2 110 H2O + 114 CO2. If mass of C57H110 is 445 gm then the mass of H2O will be -

Ans.

(1) 554.76 gm [1]

(2) 230 gm

(3) 234.56 gm

(4) 460 gm

Q.16

If 0.2 M, 10 ml NaOH is dissolved 0.1 M, 20 ml CH3COOH, the pn of the resulting solution. If pKa = 4.74. (1) 7.89 (2) 8.78 (3) 9.34 (4) 10.23

Ans.

[2]

Q.17

Which are of the following has highest 0 (1) [Co(NH3)5H2O] Cl3 (2) K4 [Co(NH3)5Cl]

(3) K3[Co(CN)6]

Ans.

[3]

Q.18

Which of the following statement is or are correct h (a) angular momentum is integral multiple of . 2 (b) Principal quantum number depends on size. (c) Azimuthal quantum number depends on size. (d) magnetic quantum number is related to shape of the orbital. (1) a, c (2) a, d (3) c, d

(4) [Co(H2O)6]Cl3

(4) a, b

Ans.

[4]

Q.19

62 g of ethylene glycol is present in 250 g of water, If water is cooled to – 10ºC. Then how much ice is separated (1) 64

Ans.

(2) 120

(4) 35

[1]

Q.20

+ O2

dilute HCl

O || (1) CH –C–CH + 3 3

Ans.

(3) 90

OH | (2)

OH |

O ||

OH | (3)

OH | (4) All of these

|| O

[1]

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Q.21

JEE Main Online Paper

Arrange in order of basicity ? (i) CH3–CH2–NH2

(ii) CH3–CH2–NH–CH3

(iii) CH3–CH3–N–CH3 | CH3

(iv) Ph–NH–CH2–CH3

(1) ii > iii > i > iv

(2) ii > i > iii > iv

(3) iii > i > iv > ii

Ans.

[1]

Q.22

If standard electrode potential at 300 k for the given reaction is 2 volt

Cu (s) Zn 2 (aq.)

(4) ii > iv > i > iii

Cu 2 (aq.) Zn (s) Then, find Keq for the reaction -

(1) 10+68

(2) 10–68

Ans.

[1]

Q.23

Ligands

Absorbed light

L1

Green

L2

Blue

L3

Red

(3) 10+100

(4) 10–100

(3) L1 < L2 < L3

(4) L2 < L1 < L3

(3) H2O

(4) C

What is correct order of strength of ligand (1) L3 < L1 < L2

(2) L3 < L2 < L1

Ans.

[1]

Q.24

Which of the following is strongest field ligands

(1) C N

(2) NH3

Ans.

[1]

Q.25

Which compound will give (i) Positive iodoform test (ii) 2, 4 DNP test (iii) Diazonium formation NH2

OH CHO

(1) Ans.

CH2–N–CH3 O CHO

(2)

(3)

C–CH3

NH2

(4)

O C–CH3

[4]

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JEE Main Online Paper

JEE Main Online Exam 2019 [Memory Based Paper] Questions & Answer 9th January 2019 | Shift - II MATHEMATICS Q.1

[~(p ∨ ~ q) ∧ (p ∧ r)} ∧ (p ∧ ~ q)] is equal to (1) Tautology (3) Neither Tautology nor Fallacy

(2) Fallacy (4) None of these

Ans.

[2]

Q.2

⎛ 12 + 2 2 + 32 ⎞ ⎛ 12 + 2 2 + 32 + 4 2 ⎞ ⎛ 12 + 2 2 + 32 + 4 2 + 5 2 ⎞ ⎟ + 12 ⎜ ⎟ + 15 ⎜ ⎟ + ..... 1 + 6 + 9 ⎜⎜ ⎟ ⎜ ⎟ ⎜ ⎟ 7 9 11 ⎝ ⎠ ⎝ ⎠ ⎝ ⎠

Find sum upto 15 terms. (1) 7720

(2) 7820

Ans.

[2]

Q.3

If x = 3tanθ, y = 3secθ. Then value of

(1)

cos 3 θ 3

(2)

(3) 7980

(4) 8020

d2y isdx 2

sin 3 θ 3

(3)

sin 2 θ 2

(4)

cos 2 θ 2

Ans.

[1]

Q.4

How many natural number are possible by using digits 0,1,3,7,9 (repetition is allowed) which are less than 7000. (1) 373 (2) 374 (3) 333 (4) 322 [2]

Ans. Q.5

A Bag contains 5 red and 2 green balls. One ball is drawn at random. If drawn ball is red, then a green ball is added in bag. If drawn ball is green then a red ball is added in bag. If another ball is drawn random then find the probability that this ball is red. (1)

Ans.

15 49

(2)

17 49

(3)

19 49

(4)

6 49

[2]

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JEE Main Online Paper 3

Q.6

Ans. Q.7

Ans. Q.8

⎛1− t6 ⎞ ⎟ , the coefficient of t4 isIn the expansion of ⎜⎜ ⎟ 1 t − ⎠ ⎝

(1) 16 [2]

(2) 15

(3) 12

(4) 10

If equation of circles are (x – 8)2 + (y – 10)2 = r2 and (x – 7)2 + (y – 4)2 = 36. These two circles cuts two different points. Then r is(1) 11 (2) > 11 (3) < 11 (4) 0 < r < 11 [1] A hyperbola whose centre is (0, 0) and passes through (4, 2) and its transverse axis is along x-axis and length of transverse axis is 4, then eccentricity is(1)

3 2

(2)

(3)

2

2 3

Ans.

[3]

Q.9 Ans.

If the roots of x2 – mx + 4 = 0 are real and different and lies in [1, 5]. Then m (1) (–5, –4) (2) (3, 4) (3) (5, 6) [4]

Q.10

If x = sin–1(sin 10) and y = cos–1(cos 10). Then y – x = (1) 7π

(2) 0

Ans.

[4]

Q.11

|f(x) – f(y)| ≤ 2 |x – y|3/2 ; f(0) = 1. Then

4

(4)

3

(4) (4, 5]

(3) 10

(4) π

(3) 0

(4) 3

(3) 2

(4)

(3) 1

(4) 2

1

∫f

2

( x ) dx

0

(1) 1 Ans.

[1] π/3

Q.12

(2) 2

∫ 0

tan θ 2k sec θ

(1) 3 Ans.

Q.13

Ans.

dθ = 1 –

1 2

. Then k is-

(2)

1 2

1 3

[3]

lim

x →0 −

x ([x ] + | x |) sin[ x ] equals ([.] represent G.I.F.) |x|

(1) –sin 1 [1]

(2) 0

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Q.14

JEE Main Online Paper

93 z0 is the roots of 1 + x + x2 = 0 and z = 3 + 6i z 81 0 – 3 z 0 . Then arg(z) is-

(1)

π 4

(2)

π 6

(3)

Ans.

[4]

Q.15

⎡ π⎞ If sinθ – sin2θ + sin3θ = 0. Then number of solutions in ⎢0, ⎟ ⎣ 2⎠

(2) 4

π 9

(4)

Ans.

(1) 5 [3]

Q.16

If a, b, c are three terms of 7th, 11th and 13th terms of A.P. (non-continuous) are three successive terms of G.P.

(1) 4 [1]

Q.17

If

n

(2)

∑

( x i + 1) 2 = 9n and

i =1

(1) Ans.

Q.18

Ans. Q.20

Ans.

∑ (x

i

(3) 2

(4) none of these

− 1) 2 = 5n. Then standard deviation is-

i =1

(2)

5

7

(3) 5

(4) none of these

∫

5x 8 + 6 x 7 dx = (2 x 7 + x 2 + x ) 2

(3)

Q.19

n

7 13

[1]

(1)

Ans.

(4) 3

a = c

Then

Ans.

(3) 2

π 2

1 2+x

−5

2+x

−2

+x

−6

+C

(2)

+x

−5

+C

(4)

1

1 (2 + x

−10

+ x −7 )

1 2+x

−4

+ x −10

+C

+C

[1] r r r r r r r r If a = ˆi + ˆj + 2 kˆ , b = b1ˆi + b 2 ˆj + 2 kˆ and c = 5ˆi + ˆj + 2 kˆ . Projection of b on a is | a | and a + b is r r perpendicular to c . Find | b | = ?

(1) 6 [1]

(2) 8

(3) 7

(4) none of these

If two sides of a triangle are 4x + 5y – 20 = 0 and 3x – 2y + 6 = 0 with orthocentre (1, 1). Then equation of third sides is(1) 26x – 122y – 1675 = 0 (2) 26x – 122y + 1675 = 0 (3) 122x – 26y + 1575 = 0 (4) 122x + 26y + 1675 = 0 [1]

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Q.21

JEE Main Online Paper

On parabola y2 = 4x three point A(4, –4), B(9, 6) and C lies on it then area of ΔABC(max.) is(1) 31

1 2

(2) 33

1 2

(3) 31

(4) 31

(3) 8

(4) 6

1 4

Ans.

[4]

Q.22

Find the area bounded by {(x, y) : 0 ≤ y ≤ x|x| + 1, x = ±1}

Ans.

(1) 2 [1]

Q.23

If the lines x = a′y + b′, z = cy + b and x = az + d, y = c′z + d′ are perpendicular, then required condition is-

(2) 4

(1) aa′ + c + d′ = 0 Ans.

[4]

Q.24

f(x) =

Ans.

(1) surjective [3]

(2) aa′ + c + d = 0

(3) aa′ + c′ + d = 0

(4) aa′ + c′ + c = 0

2x ; f : A → R, x is non real positive value. Then relation will bex −1 (2) not injective

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(3) not surjective

(4) none of these

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JEE Main Online Paper

JEE Main Online Exam 2019 [Memory Based Paper] Questions & Answer 9th January 2019 | Shift - II PHYSICS Q.1

A particle is executing S.H.M. of Amplitude of A along x-axis. If origin is taken as a mean position. Find the position where kinetic energy & potential energy of particle are same. (1) A

(2)

A 2

(3)

A 2

(4)

2A

Ans.

[3]

Q.2

A ray parallel to M2 is incident on M1 mirror, after two reflections it becomes parallel to M1 as shown. Find angle

M2

M1

Ans.

(1) 60° [1]

Q.3

Find the value of V0.

(2) 30°

(3) 45°

(4) 90°

Ge 0.3V V0

Si 0.7V R +

– 6V

Ans.

(1) 5.7 V [1]

(2) 5.3 V

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(3) 6 V

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Q.4

JEE Main Online Paper

If body of mass 2 kg is moving along x axis under an external force, whose displacement is given by x(t) = 3t2 – 2t + 5 m. Find the work done by force from t = 0 to t = 5 sec. (1) 78 J

(2) 780 J

(3) 600 J

(4) 200 J

Ans.

[2]

Q.5

5.4 gm N2 gas is filled in closed container at temperature 27°C. Find the energy of the gas when rms speed of gas molecules get doubled. (1) 4980 J

(2) 9480 J

(3) 5040 J

(4) 9980 J

Ans.

[1]

Q.6

A loop of radius R is formed by a wire of length L. If current is 'i', magnetic field at center is B. If same current is passed through another coil having n turns formed by the same wire, magnetic field at center of new coil will be : (1) nB

(2) n2B

(3)

Ans.

[2]

Q.7

In the given circuit find out the value of R2 : R3 = 100

B n

(4) B

R1 = 500

400

5V

R2 + – 12V

(1) 1000

(2) 1200

(3) 500

(4) 2000

Ans.

[2]

Q.8

If a rod is hinged at one end released from rest, which makes 30° angle with horizontal as shown in figure find angular velocity of rod when it becomes horizontal.

0.5 m

g

30°

(1) 30 rad/sec Ans.

(2)

30 rad/sec

(3) 15 rad/sec

(4) 15 rad/sec

[2]

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Q.9

JEE Main Online Paper

What is the resistence of given carbon resistence

Green Orange

Golden Yellow

(1) 53 × 104 ± 5%

(2) 43 × 104 ± 5%

(3) 53 × 104 ± 10%

(4) 43 × 104 ± 10%

Ans.

[1]

Q.10

Combination of different medium in capacitor is as shown keq will be :

k1

k2

A/2

k3

k4

A/2

d/2

d/2

(1) k1 + k2 + k3 + k4

(3)

(2)

1 1 1 1 k1 k 2 k 3 k 4

k k k 1k 2 3 4 k1 k 2 k 3 k 4

(4) k1 + k2 +

k 3k 4 k3 k 4

Ans.

[2]

Q.11

Time period depends on Gravitational constant (G), plank contstant (h) and speed of light (c), then T is proportional to (1)

G 1 / 2 h1 / 2 C3 / 2

(2)

G1 / 2 h C5 / 2

(3)

G h1 / 2 C5 / 2

(4)

Ans.

[4]

Q.12

E0 & B0 are amplitude of electric and magnetic field of EM wave then correct relationship is (1) E 0

Ans.

B0 2

(2) E0 < B0

(3) E0 > B0

G 1/ 2 h 1 / 2 C5 / 2

(4) E0 = B0

[3]

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Q.13

JEE Main Online Paper

In Y.D.S.E experiment wave length of monochromatic light is 500 nm and distance between slits is d = 0.37 mm. Find the total number of maximum between angle

to as shown in figure. 6 6

y d

/6 /6

D

(1) 635

(2) 640

Ans.

[3]

Q.14

Find F for given figure

(3) 641

(4) 541

(3) Mg

(4) 3 Mg

45

F M

(1)

Mg 2

(2) Mg

2

Ans.

[3]

Q.15

A constant magnetic field 0.5T present in a region in which a charge particle moves in a circle of radius 1 cm, charge on particle is 1.6 × 10–19C, if electric field of 20 V/m is also applied, the particle starts moving 2

in straight line, then find mass of particle ? Ans.

(1) 2 × 10–22 Kg [2]

Q.16

Two charges

(2) 1 × 10–23 Kg

(3) 1 × 10–12 Kg

(4) None

10 c and –25 c are placed at (1,0) and (4,0), electric filed at (0,3) = (0,3)

10c x =1

(1) [63 ˆi – 27ˆj] Ans.

– 25 c x =4

(2) 10 2 [63 ˆi – 27ˆj]

(3) [ 27 ˆi – 63ˆj]

(4) 102 [27 ˆi – 63ˆj]

[2]

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Q.17

JEE Main Online Paper

A particle is taken at height h from earth surface and then it is given energy E to move it on circular path at this height. Energy required to project this particle upto height hfrom earth surface is equal to energy E, then find value of h. (1) R

(2) R/2

(3) 2R

(4) 3R/2

Ans.

[2]

Q.18

Two nuclei sample A and B initally have same activity. At any time t ratio of activity of B to that of A i.e. RB = e–3t . Half life of A is ln(2) then half life of B is RA

(1) TB

ln( 2) 4

(2) TB

ln( 2) 2

Ans.

[1]

Q.19

For the circuit as shown, power consuption is – 2mH 120F 60

(3) TB = 2 ln (2)

(4) None

(3) 12.3 watt

(4) 2 watt

~

24V, 50Hz

Ans. Q.20

(1) 4.1 watt [2]

(2) 8.2 watt

In a step down transfarmer input voltage is 2300V and output voltage is 230 V. If number of turns in primary winding is 4000. Find input current if efficiency of transformer is 90% and output current is 5A. (1) 2/3

(2) 5/9

(3) 3/5

(4) 2

Ans.

[2]

Q.21

Two particles A & B having acceleration a1 and a2 start the race from same point particle A complete the race 't' time before B and it have 'v' speed more than 'B'. Find v ? (1) v a1a 2 t

(2) v a1a 2

(3) v

a1a 2 t

(4) v

a1a 2 t

Ans.

[1]

Q.22

Find the maximum kinetic energy of photo electron if the magnetic field of incident light in given by B B0 [sin(3.14 106 ct ) sin(16.28 106 ct )] T and work function of metal is 2.7 eV.

(1) 0.2 eV Ans.

(2) 1 eV

(3) 0.5 eV

(4) 1.3 eV

[3]

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