The magnetic field in a plane electromagnetic wave is B_y= (3.5×10^-7 ) (1.5×10^3 x+0.5×10^11t ) T. The corresponding electric field will be :

E_z=105 (1.5×10^3 x+0.5×10^11t )Vm^-1

A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2 : 1. After disintegration they will move :

in opposite directions with speed in the ratio of 1 : 2 respectively.

The I-V characteristics of an electronic device shown in the figure. The device is:

a zener diode which can be used as a voltage regulator

JEE Main 2024 April 09, Shift 2 Question Paper with Solutions

All 89 questions from the JEE Main 2024 (April 09, Shift 2) shift — Physics (29), Chemistry (30) 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 2024 Chemistry PYQs 2024 Mathematics PYQs 2024

Chemistry30 questions

Q31Single correctUnits and Measurements

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency ' A '

\times 1 0^{12}

hertz and that has a radiant intensity in that direction of

\frac{1}{’B’}

watt per steradian. 'A' and 'B' are respectively

(A)

540 and 683

(B)

450 and 683

(C)

450 and

\frac{1}{683}

(D)

540 and

\frac{1}{683}

Q32Single correctClassification of Elements and Periodicity

The electronic configuration of Einsteinium is : (Given atomic number of Einsteinium

= 99

)

(A)

[Rn] 5 f^{10} 6 d^{0} 7 s^{2}

(B)

[Rn] 5 f^{13} 6 d^{0} 7 s^{2}

(C)

[Rn] 5 f^{11} 6 d^{0} 7 s^{2}

(D)

[Rn] 5 f^{12} 6 d^{0} 7 s^{2}

Q33Single correctClassification of Elements and Periodicity

Match List I with List II

List - I (Element)	List - II (Electronic configuration)
A. N	I. $[Ar] 3 d^{10} 4 s^{2} 4 p^{5}$
B. S	II. $[Ne] 3 s^{2} 3 p^{4}$
C. Br	III. $[He] 2 s^{2} 2 p^{3}$
D. Kr	IV. $[Ar] 3 d^{10} 4 s^{2} 4 p^{6}$

(A)

A-III, B-II, C-I, D-IV

(B)

A-II, B-I, C-IV, D-III

(C)

A-I, B-IV, C-III, D-II

(D)

A-IV, B-III, C-II, D-I

Q34Single correctp-Block Elements

Match List I with List II

List - I	List - II
A. Melting Point [K]	I. $Tl > In > Ga > Al > B$
B. Ionic Radius $[M^{+ 3} /pm]$	II. $B > Tl > Al \approx Ga > In$
C. $Δ_{i} H_{1}$ [kJ mo $l^{- 1}$ ]	III. $Tl > In > Al > Ga > B$
D. Atomic Radius [pm]	IV. $B > Al > Tl > In > Ga$

(A)

A-II, B-III, C-IV, D-I

(B)

A-IV, B-I, C-II, D-III

(C)

A-I, B-II, C-III, D-IV

(D)

A-III, B-IV, C-I, D-II

Q35Single correctChemical Bonding and Molecular Structure

The correct increasing order for bond angles among

BF_{3}

PF_{3}

and

ClF_{3}

is :

(A)

BF_{3} < PF_{3} < ClF_{3}

(B)

ClF_{3} < PF_{3} < BF_{3}

(C)

PF_{3} < BF_{3} < ClF_{3}

(D)

BF_{3} = PF_{3} < ClF_{3}

Q36Single correctHydrocarbons

The incorrect statement regarding ethyne is

(A)

The C

-

C bonds in ethyne is shorter than that in ethene

(B)

Both carbons are sp hybridised

(C)

Ethyne is linear

(D)

The corbon - carbon bonds in ethyne is weaker than that in ethene

Q37Single correctEquilibrium

For a sparingly soluble salt

AB_{2}

, the equilibrium concentrations of

A^{2 +}

ions and

B^{-}

ions are

1.2 \times 1 0^{- 4}

M and

0.24 \times 1 0^{- 3}

M, respectively. The solubility product of

AB_{2}

is :

(A)

6.91 \times 1 0^{- 12}

(B)

0.276 \times 1 0^{- 12}

(C)

27.65 \times 1 0^{- 12}

(D)

0.069 \times 1 0^{- 12}

Q38Single correctSome Basic Principles of Organic Chemistry

The correct stability order of the following resonance structures of

CH_{3} - CH = CH - CHO

(A)

I > II > III

(B)

II > III > I

(C)

II > I > III

(D)

III > II > I

Q39Single correctSome Basic Principles of Organic Chemistry

Total number of stereo isomers possible for the given structure :

A branched diene chain drawn as a zig-zag. From left: a CH3 group on a carbon that is part of a C=C double bond; the lower carbon of this left double bond bears a Br (labelled Br below). The chain continues to a central CH carbon bearing a Br substituent (labelled Br above, on a wedge/line up). The chain then reaches a second C=C double bond on the right whose carbons bear a CH3 group (down) and a Br substituent (labelled Br up). Overall structure: (CH3)(Br)C=CH-CH(Br)-C(Br)=C... with three Br atoms, two C=C double bonds and one CHBr stereocentre.

(A)

(B)

(C)

(D)

Q40Single correctElectrochemistry

Which out of the following is a correct equation to show change in molar conductivity with respect to concentration for a weak electrolyte, if the symbols carry their usual meaning :

(A)

Λ_{m} - Λ_{m}^{0} + A C^{\frac{1}{2}} = 0

(B)

Λ_{m}^{2} C - K_{a} Λ_{m}^{\circ 2} + K_{a} Λ_{m} Λ_{m} = 0

(C)

Λ_{m}^{2}_{m} C + K_{a} Λ_{m}^{\circ 2} - K_{a} Λ_{m} Λ_{m}^{\circ} = 0

(D)

Λ_{m} - Λ_{m}^{\circ} - A C^{\frac{1}{2}} = 0

Q41Single correctElectrochemistry

Match List I with List II

List - I (Cell)	List - II (Use/Property/Reaction)
A. Leclanche cell	I. Converts energy of combustion into electrical energy
B. Ni $-$ Cd cell	II. Does not involve any ion in solution and is used in hearing aids
C. Fuel cell	III. Rechargeable
D. Mercury cell	IV. Reaction at anode $Zn \to Zn^{2 +} + 2 e^{-}$

(A)

A-II, B-III, C-IV, D-I

(B)

A-I, B-II, C-III, D-IV

(C)

A-III, B-I, C-IV, D-II

(D)

A-IV, B-III, C-I, D-II

Q42Single correctd- and f-Block Elements

Give below are two statements: Statement I : The higher oxidation states are more stable down the group among transition elements unlike p-block elements. Statement II : Copper can not liberate hydrogen from weak acids. In the light of the above statements, choose the correct answer from the options given below :

(A)

Both Statement I and Statement II are true

(B)

Statement I is false but Statement II is true

(C)

Both Statement I and Statement II are false

(D)

Statement I is true but Statement II is false

Q43Single correctCoordination Compounds

Match List I with List II

List - I	List - II
A. $K_{2} [Ni(CN)_{4}]$	I. $s p^{3}$
B. $[Ni(CO)_{4}]$	II. $s p^{3} d^{2}$
C. $[Co(NH_{3})_{6}] Cl_{3}$	III. $dsp^{2}$
D. $Na_{3} [CoF_{6}]$	IV. $d^{2} s p^{3}$

(A)

A-III, B-I, C-IV, D-II

(B)

A-III, B-I, C-II, D-IV

(C)

A-I, B-III, C-II, D-IV

(D)

A-III, B-II, C-IV, D-I

Q44Single correctCoordination Compounds

The coordination environment of

Ca^{2 +}

ion in its complex with

EDTA^{4 -}

is :

(A)

tetrahedral

(B)

trigonal prismatic

(C)

octahedral

(D)

square planar

Q45Single correctHaloalkanes and Haloarenes

In the above reaction product ' P ' is

A benzene ring (phenyl) attached to a carbon that bears a CH3 group (drawn up). That carbon is bonded to a second carbon which bears a Br atom (labelled Br, up) and an OCH3 group (labelled OCH3, down). Reagent over the arrow: KCN (alc), with heat (delta) below the arrow, pointing to 'Major Product P'. Starting material: Ph-CH(CH3)-CH(Br)(OCH3).

(A)

Benzene ring attached to a carbon bearing a CN group (drawn up) and the phenyl; this benzylic carbon is bonded to a second carbon bearing a CH3 group (up) and an OCH3 group (down). Structure: Ph-CH(CN)-CH(CH3)(OCH3).

(B)

Benzene ring attached to a carbon bearing an OCH3 group (drawn up) and the phenyl; this benzylic carbon is bonded to a second carbon bearing a CN group (up) and a CH3 group (down). Structure: Ph-CH(OCH3)-CH(CN)(CH3).

(C)

Benzene ring attached to a quaternary benzylic carbon bearing both a CH3 group (up-left) and a CN group (up-right) plus the phenyl; this carbon is bonded to a CH2 group which carries an OCH3 group (down). Structure: Ph-C(CH3)(CN)-CH2-OCH3.

(D)

Benzene ring attached to a carbon bearing a CH3 group (drawn up) and the phenyl; this benzylic carbon is bonded to a second carbon bearing a CN group (up) and an OCH3 group (down). Structure: Ph-CH(CH3)-CH(CN)(OCH3).

Q46Single correctOrganic Chemistry

Match List I with List II

List - I (Test)	List - II (Observation)
A. B $r_{2}$ water test	I. Yellow orange or orange red precipitate formed
B. Ceric ammonium nitrate test	II. Reddish orange colour disappears
C. Ferric chloride test	III. Red colour appears
D. 2, 4 - DNP test	IV. Blue, Green, Violet or Red colour appear

(A)

A-III, B-IV, C-I, D-II

(B)

A-I, B-II, C-III, D-IV

(C)

A-IV, B-II, C-III, D-I

(D)

A-II, B-III, C-IV, D-I

Q47Single correctOrganic Chemistry

Which of the following compound can give positive iodoform test when treated with aqueous KOH solution followed by potassium hypoiodite.

(A)

Condensed structure CH3-CH2-C(-Cl)(-Cl)-CH3 drawn with two Cl substituents (one up, one down) on the third carbon of a butane chain (2,2-dichlorobutane).

(B)

Structure CH3-CH2-O-CH2-? drawn as an ether chain (ethyl ...) with a -CH2 group at right.

(C)

Condensed structure CH3-CH2-C(=O)-CH2-CH3 drawn with a carbonyl C=O on the third carbon (pentan-3-one / 3-pentanone).

(D)

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

Q48Single correctOrganic Chemistry

Which of the following compounds will give silver mirror with ammoniacal silver nitrate? A. Formic acid B. Formaldehyde C. Benzaldehyde D. Acetone Choose the correct answer from the options given below :

(A)

A, B and C only

(B)

C and D only

(C)

B and C only

(D)

A only

Q49Single correctOrganic Chemistry

Major product of the following reaction is

A benzene ring bearing a -CN group at the top (para) and a -CO2CH3 (methyl ester) group at the bottom; reagents over the arrow: (i) CH3MgBr (excess), (ii) H3O+. Prompt asks for the major product.

(A)

Benzene ring with a top substituent C(=O)-CH3 (acetyl / methyl ketone) drawn as O double bonded, and a bottom substituent HO-C(CH3)... tertiary alcohol with two methyls.

(B)

Benzene ring with a top substituent O=CH (or O double-bond CH2) and a bottom substituent CO2CH3 methyl ester.

(C)

Benzene ring with a top -CN nitrile substituent and a bottom substituent C(=O)-CH3 acetyl group.

(D)

Benzene ring with a top substituent O=C-CH3 (acetyl / methyl ketone) and a bottom substituent HO-C(CH3)2 tertiary alcohol with two methyl groups.

Q50Single correctOrganic Chemistry

The incorrect statement about Glucose is :

(A)

Glucose is soluble in water because of having aldehyde functional group

(B)

Glucose remains in multiple isomeric form in its aqueous solution

(C)

Glucose is one of the monomer unit in sucrose

(D)

Glucose is an aldohexose

Q51NumericalPhysical Chemistry

Based on Heisenberg's uncertainity principle, the uncertainity in the velocity of the electron to be found within an atomic nucleus of diameter

1 0^{- 15}

m is _______

\times 1 0^{9}

s^{- 1}

(nearest integer) (Given : mass of electron

= 9.1 \times 1 0^{- 31}

kg, Plank's constant (h)

= 6.626 \times 1 0^{- 34}

Js) (Value of

π = 3.14

)

Q52NumericalPhysical Chemistry

Total number of electrons present in (

π^{*}

) molecular orbitals of

O_{2}

, O

_{2}^{+}

and O

_{2}^{-}

is _______.

Q53NumericalPhysical Chemistry

When

Δ H_{v a p} = 30

kJ/mol and

Δ S_{v a p} = 75

J mo

l^{- 1}

K^{- 1}

, then the temperature of vapour, at one atmosphere is _______ K.

Q54NumericalOrganic Chemistry

In the given TLC, the distance of spot A & B are 5 cm & 7 cm, from the bottom of TLC plate, respectively.

R_{f}

value of B is

x \times 1 0^{- 1}

times more than A. The value of x is _______.

TLC plate sketch: vertical rectangular plate, 'Top' and 'Solvent front' marked near the top with the solvent front 1 cm below the top edge; spots B and A marked along the plate (B above A); baseline 1 cm above the bottom labelled 'Bottom'; total marked height 10 cm between the two 1 cm marks. Distances: A at 5 cm and B at 7 cm from the bottom.

Q55NumericalOrganic Chemistry

Number of compounds from the following which cannot undergo Friedel-Crafts reactions is: _______.
toluene, nitrobenzene, xylene, cumene, aniline, chlorobenzene, m-nitroaniline, m-dinitrobenzene

Q56NumericalPhysical Chemistry

The vapour pressure of pure benzene and methyl benzene at

2 7^{\circ}

C is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapour phase, in equilibrium with an equimolar mixture of those two liquids (ideal solution) at the same temperature is _______

\times 1 0^{- 2}

(nearest integer).

Q57NumericalPhysical Chemistry

Consider the following first order gas phase reaction at constant temperature A(g)

\to

2 B(g) + C(g) If the total pressure of the gases is found to be 200 torr after 23sec. and 300 torr upon the complete decomposition of A after a very long time, then the rate constant of the given reaction is _______

\times 1 0^{- 2}

s^{- 1}

(nearest integer) (Given :

lo g_{10} (2) = 0.301

)

Q58NumericalInorganic Chemistry

Number of oxygen atoms present in chemical formula of fuming sulphuric acid is _______.

Q59NumericalInorganic Chemistry

A transition metal ' M ' among Sc, Ti, V, Cr, Mn and Fe has the highest second ionisation enthalpy. The spin-only magnetic moment value of M

^{+}

ion is _______ BM (Near integer) (Given atomic number Sc : 21, Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26)

Q60NumericalInorganic Chemistry

^{2 +} + H_{2}

\to

A (Black precipitate)

+

by product
Consider the following test for a group-IV cation. A

+

aqua regia

\to

+

NOCl

+

+

H_{2}

O
B

+

KNO

_{2} + C H_{3}

COOH

\to

+

by product
The spin-only magnetic moment value of the metal complex C is _______ BM (Nearest value)

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JEE Main 2024 April 09, Shift 2 Question Paper with Solutions

Physics29 questions

Chemistry30 questions

Mathematics30 questions

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