A system of three charges are placed as shown in the figure: If D d , the potential energy of the system is best given by:

(1)/(4πε_0) [-(q^2)/(d)-(qQd)/(D^2) ]

A rigid square loop of side 'a' and carrying current I_2 is lying on a horizontal surface near a long current I_1 carrying wire in the same plane as shown in figure. The net force on the loop due to the wire will be:

Repulsive and equal to (μ_0 I_1 I_2)/(4π)

A signal A ω t is transmitted using v_0 ω_0 t as carrier wave. The correct amplitude modulated (AM) signal is:

v_0 ω_0 t+(A)/(2) (ω_0-ω)t+(A)/(2) (ω_0+ω)t

JEE Main 2019 April 09, Shift 1 Question Paper with Solutions

All 89 questions from the JEE Main 2019 (April 09, Shift 1) shift — Physics (30), Chemistry (29) and Mathematics (30) — each with the correct answer (answer key) and a step-by-step solution. Read it free online, or attempt the full paper as a timed mock test.

Physics PYQs 2019 Chemistry PYQs 2019 Mathematics PYQs 2019

Chemistry29 questions

Q31Single correctSome Basic Concepts in Chemistry

For a reaction,

N_{2} (g) + 3 H_{2} (g) ⟶ 2 NH_{3} (g)

, identify di-hydrogen (

H_{2}

) as a limiting reagent in the following reaction mixtures.

(A)

28 g of N_{2} + 6 g of H_{2}

(B)

35 g of N_{2} + 8 g of H_{2}

(C)

56 g of N_{2} + 10 g of H_{2}

(D)

14 g of N_{2} + 4 g of H_{2}

Q32Single correctAtomic Structure

For any given series of spectral lines of atomic hydrogen, let

Δ \overset{v}{ˉ} = \overset{v}{ˉ}_{m a x} - \overset{v}{ˉ}_{m i n}

be the difference in maximum and minimum wave number in

cm^{- 1}

. The ratio

Δ \overset{v}{ˉ}_{Lyman} /Δ \overset{v}{ˉ}_{Balmer}

(A)

5 : 4

(B)

27 : 5

(C)

4 : 1

(D)

9 : 4

Q33Single correctClassification of Elements and Periodicity in Properties

The element having greatest difference between its first and second ionization energies, is

(A)

Ba

(B)

K

(C)

Ca

(D)

Sc

Q34Single correctChemical Bonding and Molecular Structure

Among the following, the molecule expected to be stabilized by anion formation is:

C_{2}, O_{2}, NO, F_{2}

(A)

F_{2}

(B)

C_{2}

(C)

O_{2}

(D)

NO

Q35Single correctStates of Matter

Consider the van der Waal's constants, a and b, for the following gases.

Gas	Ar	Ne	Kr	Xe
$a / (atm dm^{6} mol^{- 2})$	1.3	0.2	5.1	4.1
$b / (1 0^{- 2} dm^{3} mol^{- 1})$	3.2	1.7	1.0	5.0

Which gas is expected to have the highest critical temperature?

(A)

Kr

(B)

Ar

(C)

Xe

(D)

Ne

Q37Single correctp-Block Elements

Magnesium powder burns in air to give

(A)

MgO and Mg_{3} N_{2}

(B)

MgO only.

(C)

Mg(NO_{3})_{2} and Mg_{3} N_{2}

(D)

MgO and Mg(NO_{3})_{2} .

Q38Single correctSome Basic Concepts in Chemistry

C_{60}

, an allotrope of carbon contains

(A)

12 hexagons and 20 pentagons.

(B)

16 hexagons and 16 pentagons.

(C)

18 hexagons and 14 pentagons.

(D)

20 hexagons and 12 pentagons.

Q39Single correctOrganic Chemistry - Some Basic Principles and Techniques

The correct IUPAC name of the following compound is:

Benzene ring drawn as a hexagon. A nitro group (NO2) on the top carbon (position 1 for nitro). A chloro group (Cl) on a carbon meta to nitro / ortho to methyl. A methyl group (CH3) on the carbon below/adjacent to Cl, para to the nitro group. Substituents: NO2 (top), CH3 (bottom), Cl (lower-right, between them).

(A)

5-chloro-4-methyl-1-nitrobenzene.

(B)

2-chloro-1-methyl-4-nitrobenzene.

(C)

2-methyl-5-nitro-1-chlorobenzene.

(D)

3-chloro-4-methyl-1-nitrobenzene.

Q40Single correctHydrocarbons

The increasing order of reactivity of the following compounds towards aromatic electrophilic substitution reaction is:
A: chlorobenzene; B: anisole (methoxybenzene); C: toluene; D: benzonitrile (cyanobenzene)

Four separate benzene rings labelled A, B, C, D. A: benzene with Cl substituent (chlorobenzene). B: benzene with OMe (methoxy, OCH3) substituent (anisole). C: benzene with Me (CH3) substituent (toluene). D: benzene with CN (cyano) substituent (benzonitrile). Each substituent on top of its ring, label letter below each ring.

(A)

A < B < C < D

(B)

B < C < A < D

(C)

D < B < A < C

(D)

D < A < C < B

Q41Single correctHaloalkanes and Haloarenes

The major product of the following reaction is

Para-chloro substituted benzene ring bearing a -CH2-CH2-Cl side chain (1-chloro-2-(4-chlorophenyl)ethane / para-chloro benzylic chloride). Reaction arrow with reagents written above/over it: (1) KOH (alc.); (2) Free radical polymerisation.

(A)

Polymer repeat unit: backbone -(CH2-CH)n- with a para-chlorophenyl group (benzene ring with Cl at para) pendant on the CH carbon; CH3 cap shown at chain start, 'n' subscript. Poly(4-chlorostyrene).

(B)

Polymer repeat unit -(CH2-CH)n- with a para-hydroxyphenyl group (benzene ring with OH at para) pendant. Poly(4-hydroxystyrene).

(C)

Polymer repeat unit -(CH2-CH)n- bearing a CH3 group on the backbone CH and a benzene ring (unsubstituted phenyl) pendant; alternate alpha-methyl styrene type chain.

(D)

Polymer repeat unit -(CH2-CH)n- with a para-chlorophenyl group pendant where the Cl is shown at the para position of the ring at the bottom; isomeric poly(chlorostyrene) drawing differing from option 1 in chain/ring orientation.

Q42Single correctHydrocarbons

The major product of the following reaction is

CH_{3} C \equiv CH (i) DCl (1 equiv.) (ii) DI

Reaction scheme: propyne CH3-C#CH (triple bond drawn) reacting over an arrow whose top label is '(i) DCl (1 equiv.)' and bottom label is '(ii) DI'.

(A)

CH_{3} CD(I)CHD(Cl)

(B)

CH_{3} CD(Cl)CHD(I)

(C)

CH_{3} CD_{2} CH(Cl)(I)

(D)

CH_{3} C(I)(Cl)CHD_{2}

Q43Single correctEnvironmental Chemistry

Excessive release of

CO_{2}

into the atmosphere results in

(A)

global warming.

(B)

polar vortex.

(C)

depletion of ozone.

(D)

formation of smog.

Q44Single correctSolutions

The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of

0.01 M BaCl_{2}

in water. Assuming complete dissociation of the given ionic compounds in water, the concentration of XY ( in

mol L^{- 1}

) in solution is

(A)

4 \times 1 0^{- 2}

(B)

16 \times 1 0^{- 4}

(C)

4 \times 1 0^{- 4}

(D)

6 \times 1 0^{- 2}

Q45Single correctSolutions

Liquid M and liquid N form an ideal solution. The vapour pressures of pure liquids M and N are 450 and 700 mmHg, respectively, at the same temperature. Then correct statements is:
(

x_{M}

= Mole fraction of 'M' in solution;

x_{N}

= Mole fraction of 'N' in solution;

y_{M}

= Mole fraction of 'M' in vapour phase;

y_{N}

= Mole fraction of 'N' in vapour phase; )

(A)

\frac{x _{M}}{x _{N}} > \frac{y _{M}}{y _{N}}

(B)

\frac{x _{M}}{x _{N}} = \frac{y _{M}}{y _{N}}

(C)

\frac{x _{M}}{x _{N}} < \frac{y _{M}}{y _{N}}

(D)

(x_{M} - y_{M}) < (x_{N} - y_{N})

Q46Single correctElectrochemistry

The standard Gibbs energy for the given cell reaction in kJ mo

l^{- 1}

at 298 K is:

Zn(s) + Cu^{2 +} (aq) ⟶ Zn^{2 +} (aq) + Cu(s)

E^{0} = 2 V at 298 K

(Faraday's constant ,

F = 96000 C mol^{- 1}

)

(A)

- 192

(B)

192

(C)

384

(D)

- 384

Q47Single correctChemical Kinetics

The given plots represent the variation of the concentration of a reactant R with time for two different reactions (i) and (ii). The respective orders of the reaction are

Two stacked line graphs. Plot (i): y-axis labeled ln[R], x-axis labeled time, a straight line with negative slope decreasing left to right, captioned (i). Plot (ii): y-axis labeled [R], x-axis labeled time, a straight line with negative slope decreasing left to right, captioned (ii).

(A)

1, 1

(B)

0, 1

(C)

1, 0

(D)

0, 2

Q48Single correctSurface Chemistry

The aerosol is a kind of colloid in which

(A)

solid is dispersed in gas.

(B)

liquid is dispersed in water.

(C)

gas is dispersed in solid.

(D)

gas is dispersed in liquid.

Q49Single correctGeneral Principles of Metallurgy

The ore that contains the metal in the form of fluoride is known as which of the following?

(A)

cryolite

(B)

magnetite

(C)

malachite

(D)

sphalerite

Q50Single correctSurface Chemistry

Catalyst column shows headings Catalyst and Product.

Column I	Column II
A.. $V_{2} O_{5}$	P.. $Polyethylene$
B.. $TiCl_{4} / Al(Me)_{3}$	Q.. $Ethanal$
C.. $PdCl_{2}$	R.. $H_{2} SO_{4}$
D.. $Iron Oxide$	S.. $NH_{3}$

(A)

(A) - (S); (B) - (R); (C) - (Q); (D) - (P)

(B)

(A) - (R); (B) - (S); (C) - (P); (D) - (Q)

(C)

(A) - (Q); (B) - (R); (C) - (P); (D) - (S)

(D)

(A) - (R); (B) - (P); (C) - (Q); (D) - (S)

Q51Single correctp-Block Elements

The correct order of the oxidation states of nitrogen in

NO, N_{2} O, NO_{2}

and

N_{2} O_{3}

(A)

N_{2} O < NO < N_{2} O_{3} < NO_{2}

(B)

NO_{2} < N_{2} O_{3} < NO < N_{2} O

(C)

NO_{2} < NO < N_{2} O_{3} < N_{2} O

(D)

N_{2} O < N_{2} O_{3} < NO < NO_{2}

Q52Single correctCoordination Compounds

The number of water molecules not coordinated to copper ion directly in

CuSO_{4} \cdot 5 H_{2} O

, is

(A)

4

(B)

2

(C)

1

(D)

3

Q53Single correctCoordination Compounds

The degenerate orbitals of

[Cr(H_{2} O)_{6}]^{3 +}

are

(A)

d_{x^{2} - y^{2}} and d_{x y} .

(B)

d_{z^{2}} and d_{x z} .

(C)

d_{yz} and d_{z^{2}} .

(D)

d_{x z} and d_{yz} .

Q54Single correctCoordination Compounds

The one that will show optical activity is
(en = ethane

- 1, 2 -

diamine)

(A)

Octahedral complex, central M. Two 'en' chelate rings span the left and right equatorial positions (drawn as bowed brackets labeled en). Top axial and bottom axial positions both labeled A. Square-planar projection with crossed diagonals to M.

(B)

Octahedral complex, central M drawn as rectangle with crossed diagonals. Vertices labeled clockwise: top-left A, top-right A, lower-right B, bottom B, lower-left B, with one A at upper right and B's filling the lower positions (trans/all-monodentate arrangement, no en).

(C)

Octahedral complex, central M. One 'en' chelate ring spans the right side (bowed bracket labeled en). Remaining four monodentate positions: top axial A, bottom axial A, left two positions labeled B and B (cis arrangement of the two A and two B with one en).

(D)

Octahedral complex, central M drawn as rectangle with crossed diagonals (no en). Vertices labeled: top B, top-right B, lower-right B, bottom A, lower-left B (all monodentate A and B ligands).

Q55Single correctAldehydes Ketones and Carboxylic Acids

The major product of the following reaction is

A cyclohexane ring bearing a ketone (=O) at one ring carbon and a -OH at an adjacent position (a beta-hydroxy cyclohexanone). Reagents over the arrow: step 1. PBr3 ; step 2. KOH (alc.).

(A)

Cyclohexene ring with a C=C double bond at top and an -OH substituent on the ring, plus a ketone =O at the lower carbon (enone with hydroxyl).

(B)

Cyclohex-2-enone: cyclohexane ring with a C=C double bond and a ketone carbonyl (=O) conjugated, an alpha,beta-unsaturated cyclohexenone.

(C)

Cyclohexanone ring (=O at bottom carbon) with an exocyclic/ring hydroxyl drawn as HO at the upper left position; saturated ring with ketone and hydroxyl.

(D)

Cyclohexenone ring with a C=C double bond at the upper portion and ketone =O at the lower carbon (a cyclohexenone isomer).

Q56Single correctOrganic Chemistry Some Basic Principles

The organic compound that gives following qualitative analysis is:

Test	Reagent	Inference
(a)	Dil. HCl	Insoluble
(b)	NaOH solution	Soluble
(c)	$Br_{2}$ /water	Decolourization

(A)

Cyclohexane (saturated, fully drawn six-membered carbocycle, no aromatic double bonds shown) bearing an -NH2 group.

(B)

Benzene ring (aromatic, with internal double bonds) bearing an -NH2 group (aniline).

(C)

Benzene ring (aromatic, with internal double bonds) bearing an -OH group (phenol).

(D)

Cyclohexane (saturated six-membered carbocycle, no aromatic double bonds) bearing an -OH group (cyclohexanol).

Q57Single correctHydrocarbons

The major product of the following reaction is:

Benzene ring bearing a -CH2CH3 (ethyl) side chain. Reagents over the arrow: step (i) alkaline KMnO4 ; step (ii) H3O+.

(A)

Benzene ring bearing a -CH2COOH (phenylacetic acid) side chain.

(B)

Benzene ring bearing a -COOH group (benzoic acid).

(C)

Benzene ring bearing a -CH2CHO side chain (phenylacetaldehyde).

(D)

Benzene ring bearing a -COCH3 group (acetophenone).

Q58Single correctAldehydes Ketones and Carboxylic Acids

The major product of the following reaction is:

CH_{3} CH = CHCO_{2} CH_{3} LiAlH_{4}

(A)

CH_{3} CH_{2} CH_{2} CO_{2} CH_{3}

(B)

CH_{3} CH = CHCH_{2} OH

(C)

CH_{3} CH_{2} CH_{2} CH_{2} OH

(D)

CH_{3} CH_{2} CH_{2} CHO

Q59Single correctAmines

Aniline dissolved in dilute HCl is reacted with sodium nitrite at

0^{\circ}

C. This solution was added dropwise to a solution containing an equimolar mixture of aniline and phenol in dilute HCl. The structure of the major product is

(A)

Two benzene rings linked by an azo group -N=N- ; the right ring carries a para -N (amino) substituent. p-aminoazobenzene (4-aminoazobenzene).

(B)

Two benzene rings linked by -N=N-O- (an azoxy/ether-bridged variant); right ring connected through an oxygen.

(C)

Two benzene rings linked by -N=N- with the right ring attached through an -O- (oxygen) to the azo nitrogen (para-hydroxy/ether azo arrangement).

(D)

Two benzene rings linked by -N=N-NH2 type arrangement; left ring joined to right ring via azo group with a terminal -NH2 between (a diazoamino/triazene-like structure).

Q60Single correctBiomolecules

Which of the following statements is not true about sucrose?

(A)

It is also named as invert sugar.

(B)

It is a non-reducing sugar.

(C)

The glycosidic linkage is present Between C_{1} of α -glucose and C_{2} of β -fructose.

(D)

On hydrolysis, it produces glucose and fructose.

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The JEE Main 2019 April 09, Shift 1 paper has 89 questions — Physics (30), Chemistry (29) and Mathematics (30). Every question is on this page with its correct answer and a step-by-step solution.

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JEE Main awards +4 marks for each correct answer and −1 for a wrong answer, with 0 for questions left unattempted. The paper covers Physics, Chemistry and Mathematics.

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JEE Main 2019 April 09, Shift 1 Question Paper with Solutions

Physics30 questions

Chemistry29 questions

Mathematics30 questions

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