Match List I with List II

A → i; B → iii; C → iv; D → ii

JEE Main 2023 January 25, Shift 1 Question Paper with Solutions

All 90 questions from the JEE Main 2023 (January 25, Shift 1) shift — Physics (30), Chemistry (30) and Mathematics (30) — with the correct answer and a step-by-step solution for every question.

Physics PYQs 2023 Chemistry PYQs 2023 Mathematics PYQs 2023

Physics30 questions

Q1Single correctCommunication Systems

A message signal of frequency 5 kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is :

(A)

\displaystyle 5\ \text{kHz}

(B)

\displaystyle 2.5\ \text{kHz}

(C)

\displaystyle 10\ \text{kHz}

(D)

\displaystyle 20\ \text{kHz}

Q2Single correctDual Nature of Matter and Radiation

Electron beam used in an electron microscope, when accelerated by a voltage of 20 kV, has a de-Broglie wavelength of

\lambda_{0}

. If the voltage is increased to 40 kV, then the de-Broglie wavelength associated with the electron beam would be :

(A)

\displaystyle 9\lambda_{0}

(B)

\displaystyle \dfrac{\lambda_{0}}{2}

(C)

\displaystyle \dfrac{\lambda_{0}}{\sqrt{2}}

(D)

\displaystyle 3\lambda_{0}

Q3Single correctKinetic Theory of Gases

The root mean square velocity of molecules of gas is

(A)

Proportional to square root of temperature

\displaystyle \left(\sqrt{T}\right)

(B)

Inversely proportional to square root of temperature

\displaystyle \left(\sqrt{\dfrac{1}{T}}\right)

(C)

Proportional to temperature

\displaystyle (T)

(D)

Proportional to square of temperature

\displaystyle (T^{2})

Q4Single correctWave Optics

In Young's double slits experiment, the position of

5^{\text{th}}

bright fringe from the central maximum is 5 cm. The distance between slits and screen is 1 m and wavelength of used monochromatic light is 600 nm. The separation between the slits is :

(A)

\displaystyle 12\ \mu\text{m}

(B)

\displaystyle 60\ \mu\text{m}

(C)

\displaystyle 48\ \mu\text{m}

(D)

\displaystyle 36\ \mu\text{m}

Q5Single correctUnits and Measurements

Choose the correct answer from the options given below :

List I	List II
A.. Surface tension	I.. $\text{kg m}^{-1}\text{s}^{-1}$
B.. Pressure	II.. $\text{kg m}^{-1}\text{s}^{-2}$
C.. Viscosity	III.. $\text{kg s}^{-2}$
D.. Impulse	IV.. $\text{kg m s}^{-1}$

(A)

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

(B)

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

(C)

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

(D)

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

Q6Single correctThermal Properties of Matter

A bowl filled with very hot soup cools from 9

8^{\circ}

C to 8

6^{\circ}

C in 2 minutes when the room temperature is 2

2^{\circ}

C. How long it will take to cool from 7

5^{\circ}

C to 6

9^{\circ}

(A)

2 minutes

(B)

1.4 minutes

(C)

0.5 minute

(D)

1 minute

Q7Single correctOscillations

T

is the time period of simple pendulum on the earth's surface. Its time period becomes

xT

when taken to a height

R

(equal to earth's radius) above the earth's surface. Then, the value of

x

will be:

(A)

\displaystyle 4

(B)

\displaystyle \dfrac{1}{2}

(C)

\displaystyle 2

(D)

\displaystyle \dfrac{1}{4}

Q8Single correctThermodynamics

A Carnot engine with efficiency 50% takes heat from a source at 600 K. In order to increase the efficiency to 70%, keeping the temperature of sink same, the new temperature of the source will be :

(A)

\displaystyle 360\ \text{K}

(B)

\displaystyle 300\ \text{K}

(C)

\displaystyle 900\ \text{K}

(D)

\displaystyle 1000\ \text{K}

Q9Single correctNuclei

The ratio of the density of oxygen nucleus

\left(_{8}^{16}\text{O}\right)

and helium nucleus

\left(_{2}^{4}\text{He}\right)

is :

(A)

\displaystyle 2:1

(B)

\displaystyle 8:1

(C)

\displaystyle 1:1

(D)

\displaystyle 4:1

Q10Single correctLaws of Motion

A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take

g=10

s^{2}

)

Free-body diagram of a pendulum bob in an accelerating car: tension T along the string, weight mg down, pseudo-force ma_P horizontal, string at angle theta from vertical.

(A)

\displaystyle \dfrac{\pi}{2}

(B)

\displaystyle \dfrac{\pi}{3}

(C)

\displaystyle \dfrac{\pi}{6}

(D)

\displaystyle \dfrac{\pi}{4}

Q11Single correctLaws of Motion

An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg and length 1 m pivoted at its end C on a vertical wall as shown in figure. It is supported by a cable AB such that the system is in equilibrium. The tension in the cable is : (Take

g=10

s^{2}

)

Horizontal rod CD hinged at wall point C (90 degrees); cable AB at 30 degrees; B is 60 cm from wall and 40 cm from D; 8 kg mass at D.

(A)

\displaystyle 240\ \text{N}

(B)

\displaystyle 90\ \text{N}

(C)

\displaystyle 300\ \text{N}

(D)

\displaystyle 30\ \text{N}

Q12Single correctMotion in a Straight Line

A car travels a distance of 'x' with speed

v_{1}

and then same distance 'x' with speed

v_{2}

in the same direction. The average speed of the car is :

(A)

\displaystyle \dfrac{v_{1}+v_{2}}{2}

(B)

\displaystyle \dfrac{v_{1}v_{2}}{2(v_{1}+v_{2})}

(C)

\displaystyle \dfrac{2v_{1}v_{2}}{v_{1}+v_{2}}

(D)

\displaystyle \dfrac{2x}{v_{1}+v_{2}}

Q13Single correctElectromagnetic Waves

An electromagnetic wave is transporting energy in the negative

z

direction. At a certain point and certain time the direction of electric field of the wave is along positive

y

direction. What will be the direction of the magnetic field of the wave at that point and instant?

3D axes: electric field E along +y, magnetic field B along +x, propagation/resultant along the diagonal; z toward lower-left.

(A)

Negative direction of

\displaystyle x

(B)

Negative direction of

\displaystyle y

(C)

Positive direction of

\displaystyle z

(D)

Positive direction of

\displaystyle x

Q14Single correctCurrent Electricity

A uniform metallic wire carries a current 2 A, when 3.4 V battery is connected across it. The mass of uniform metallic wire is

8.92\times 10^{-3}

kg, density is

8.92\times 10^{3}

kg/

m^{3}

and resistivity is

1.7\times 10^{-8}\ \Omega

-

m. The length of wire is :

(A)

\displaystyle l=100\ \text{m}

(B)

\displaystyle l=6.8\ \text{m}

(C)

\displaystyle l=10\ \text{m}

(D)

\displaystyle l=5\ \text{m}

Q15Single correctOscillations

In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes x times its initial resonant frequency

\omega_{0}

. The value of x is :

(A)

\displaystyle \dfrac{1}{16}

(B)

\displaystyle \dfrac{1}{4}

(C)

\displaystyle 4

(D)

\displaystyle 16

Q16Single correctMagnetic Effects of Current and Magnetism

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is :

(A)

\displaystyle 6\ \text{A m}^{-1}

(B)

\displaystyle 2.4\times10^{-3}\ \text{A m}^{-1}

(C)

\displaystyle 1.2\times10^{3}\ \text{A m}^{-1}

(D)

\displaystyle 2.4\times10^{3}\ \text{A m}^{-1}

Q17Single correctSemiconductor Electronics

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Photodiodes are used in forward bias usually for measuring the light intensity.
Reason R : For a p-n junction diode, at applied voltage V the current in the forward bias is more than the current in the reverse bias for

\lvert V_z \rvert > x \ge \lvert V_0 \rvert

where

V_0

is the threshold voltage and

V_z

is the breakdown voltage.
In the light of the above statements, choose the correct answer from the options given below

(A)

A is false but R is true

(B)

Both A and R are true and R is correct explanation A

(C)

Both A and R are true but R is NOT the correct explanation of A

(D)

A is true but R is false

Q18Single correctOscillations

Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel, it executes a simple harmonic motion. The mass of the particle is 100 g. The time period of the motion of the particle will be (approximately)
(Take

g=10\ \text{m s}^{-2}

, radius of earth

=6400\ \text{km}

)

(A)

1 hour 40 minutes

(B)

12 hours

(C)

24 hours

(D)

1 hour 24 minutes

Q19Single correctElectrostatics

A parallel plate capacitor has plate area

40\ \text{cm}^{2}

and plates separation 2 mm. The space between the plates is filled with a dielectric medium of a thickness 1 mm and dielectric constant 5. The capacitance of the system is :

(A)

\displaystyle \dfrac{3}{10}\varepsilon_0\ \text{F}

(B)

\displaystyle \dfrac{10}{3}\varepsilon_0\ \text{F}

(C)

\displaystyle 10\varepsilon_0\ \text{F}

(D)

\displaystyle 24\varepsilon_0\ \text{F}

Q20Single correctMagnetic Effects of Current and Magnetism

Choose the correct answer from the options given below :

List I (Current configuration)	List II (Magnitude of Magnetic Field at point P)
A..	I.. $B_0=\dfrac{\mu_0 I}{4\pi r}[\pi+2]$
B..	II.. $B_0=\dfrac{\mu_0 I}{2r}$
C..	III.. $B_0=\dfrac{\mu_0 I}{4\pi r}[\pi-1]$
D..	IV.. $B_0=\dfrac{\mu_0 I}{4\pi r}[\pi+1]$

(A)

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

(B)

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

(C)

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

(D)

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

Q21NumericalWork, Energy and Power

An object of mass 'm' initially at rest on a smooth horizontal plane starts moving under the action of force

F=2\ \text{N}

. In the process of its linear motion, the angle

\theta

(as shown in figure) between the direction of force and horizontal varies as

\theta=kx

, where k is a constant and x is the distance covered by the object from its initial position. The expression of kinetic energy of the object will be

E=\dfrac{n}{k}\sin\theta

, the value of n is ______.

A block of mass m on a smooth horizontal surface with force F applied at angle theta above the horizontal.

Q22NumericalProperties of Solids

As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of

45^{\circ}

with the load axis. The length of wire is

62.8\ \text{cm}

and its diameter is 4 mm. The Young's modulus is found to be

x\times10^{4}\ \text{N m}^{-2}

. The value of x is ______.

Extension (m) vs Load (N): a straight line through the origin at 45 degrees.

Q23NumericalElectrostatics

A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy 0.5 eV. The length of each plate is 10 cm. The angle (

\theta

) of deviation of the path of electron as it comes out of the field is ______ (in degree).

An electron entering between a positively charged top plate and a lower plate, deflecting and exiting at angle theta.

Q24NumericalAlternating Current

An LCR series circuit of capacitance 62.5 nF and resistance of

50\ \Omega

, is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is ______ mH.
(Take

\pi^{2}=10

)

Q25NumericalCurrent Electricity

In the given circuit, the equivalent resistance between the terminal A and B is ______

\Omega

Resistor network between A and B: top 3, 2, 4 ohm; bottom 6 and 4 ohm; two vertical 2 ohm resistors and a connecting wire.

Q26NumericalWaves

The distance between two consecutive points with phase difference of

60^{\circ}

in a wave of frequency 500 Hz is 6.0 m. The velocity with which wave is traveling is ______ km/s.

Q27NumericalSystem of Particles and Rotational Motion

I_{CM}

is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc.

I_{AB}

is its moment of inertia about an axis AB perpendicular to plane and parallel to axis CM at a distance

\dfrac{2}{3}R

from center. Where R is the radius of the disc. The ratio of

I_{AB}

and

I_{CM}

x:9

. The value of x is ______.

A disc with centre-of-mass axis C (radius R) and two parallel axes A and B, with distance (2/3)R marked.

Q28NumericalRay Optics

A ray of light is incident from air on a glass plate having thickness

\sqrt{3}

cm and refractive index

\sqrt{2}

. The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is ______

\times10^{-2}

cm. (given

\sin15^{\circ}=0.26

)

$A ray incident at angle i on a rectangular glass slab, refracting at r, emerging parallel after lateral shift, deviation 15 degrees.$

Q29NumericalVectors

\vec{P}=3\hat{i}+\sqrt{3}\hat{j}+2\hat{k}

and

\vec{Q}=4\hat{i}+\sqrt{3}\hat{j}+2.5\hat{k}

then, the unit vector in the direction of

\vec{P}\times\vec{Q}

\dfrac{1}{x}(\sqrt{3}\hat{i}+\hat{j}-2\sqrt{3}\hat{k})

. The value of x is ______.

Q30NumericalAtoms and Nuclei

The wavelength of the radiation emitted is

\lambda_0

when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second excited state of hydrogen atom, the wavelength of the radiation emitted will be

\dfrac{20}{x}\lambda_0

. The value of x is ______.

Chemistry30 questions

Q31Single correctOrganic Compounds Containing Nitrogen

Identify the product formed (A and E)

(A)

A=2-bromo-4-nitrotoluene; E=o-bromotoluene

(B)

A=2-bromo-4-nitrotoluene; E=2-bromobenzoic acid

(C)

A=dibromo-nitrotoluene; E=dibromobenzoic acid

(D)

A=bromo-nitrotoluene; E=2-bromo-4-hydroxybenzoic acid

Q32Single correctSolid State

A cubic solid is made up of two elements X and Y. Atoms of X are present on every alternate corner and one at the center of cube. Y is at

\frac{1}{3}

rd of the total faces. The empirical formula of the compound is

(A)

\displaystyle \text{XY}_{2.5}

(B)

\displaystyle \text{X}_{1.5}\text{Y}_2

(C)

\displaystyle \text{X}_2\text{Y}_{1.5}

(D)

\displaystyle \text{X}_{2.5}\text{Y}

Q33Single correctp-Block Elements

Reaction of thionyl chloride with white phosphorus forms a compound [A], which on hydrolysis gives [B], a dibasic acid. [A] and [B] are respectively

(A)

\displaystyle \text{POCl}_3 \text{ and } \text{H}_3\text{PO}_4

(B)

\displaystyle \text{PCl}_3 \text{ and } \text{H}_3\text{PO}_3

(C)

\displaystyle \text{PCl}_5 \text{ and } \text{H}_3\text{PO}_4

(D)

\displaystyle \text{P}_4\text{O}_6 \text{ and } \text{H}_3\text{PO}_3

Q34Single correctSome Basic Concepts in Chemistry

'25 volume' hydrogen peroxide means

(A)

\displaystyle \text{1 L marketed solution contains 250 g of H}_2\text{O}_2.

(B)

\displaystyle \text{100 mL marketed solution contains 25 g of H}_2\text{O}_2.

(C)

\displaystyle \text{1 L marketed solution contains 25 g of H}_2\text{O}_2.

(D)

\displaystyle \text{1 L marketed solution contains 75 g of H}_2\text{O}_2.

Q35Single correctAlcohols, Phenols and Ethers

In the cumene to phenol preparation in presence of air, the intermediate is

(A)

(B)

(C)

(D)

Q36Single correctAtomic Structure

The radius of the 2

^{\text{nd}}

orbit of L

i^{2+}

is x. The expected radius of the 3

^{\text{rd}}

orbit of B

e^{3+}

(A)

\displaystyle \frac{9}{4}x

(B)

\displaystyle \frac{16}{27}x

(C)

\displaystyle \frac{27}{16}x

(D)

\displaystyle \frac{4}{9}x

Q37Single correctGeneral Principles of Metallurgy

Which one of the following reactions does not occur during extraction of copper?

(A)

\displaystyle \text{CaO}+\text{SiO}_2\rightarrow \text{CaSiO}_3

(B)

\displaystyle \text{FeO}+\text{SiO}_2\rightarrow \text{FeSiO}_3

(C)

\displaystyle 2\text{Cu}_2\text{S}+3\text{O}_2\rightarrow 2\text{Cu}_2\text{O}+2\text{SO}_2

(D)

\displaystyle 2\text{FeS}+3\text{O}_2\rightarrow 2\text{FeO}+2\text{SO}_2

Q38Single correctBiomolecules

Correct match is

Row I	Row II
A.	(i). $\alpha\text{-D-(-)-Fructofuranose}$
B.	(ii). $\beta\text{-D-(-)-Fructofuranose}$
C.	(iii). $\alpha\text{-D-(-) Glucopyranose,}$
D.	(iv). $\beta\text{-D-(-)-Glucopyranose}$

(A)

\displaystyle \text{A}\rightarrow\text{iii, B}\rightarrow\text{iv, C}\rightarrow\text{i, D}\rightarrow\text{ii}

(B)

\displaystyle \text{A}\rightarrow\text{i, B}\rightarrow\text{ii, C}\rightarrow\text{iii, D}\rightarrow\text{iv}

(C)

\displaystyle \text{A}\rightarrow\text{iii, B}\rightarrow\text{iv, C}\rightarrow\text{ii, D}\rightarrow\text{i}

(D)

\displaystyle \text{A}\rightarrow\text{iv, B}\rightarrow\text{iii, C}\rightarrow\text{i, D}\rightarrow\text{ii}

Q39Single correctChemistry in Everyday Life

Which of the following statements is incorrect for antibiotics?

(A)

\displaystyle \text{An antibiotic should promote the growth or survival of microorganisms.}

(B)

\displaystyle \text{An antibiotic is a synthetic substance produced as a structural analogue of naturally occurring antibiotic.}

(C)

\displaystyle \text{An antibiotic should be effective in low concentrations.}

(D)

\displaystyle \text{An antibiotic must be a product of metabolism.}

Q40Single corrects-Block Elements

Choose the correct answer from the options given below :

LIST I (Elements)	LIST II (Colour imparted to the flame)
A. $\text{K}$	I. $\text{Brick Red}$
B. $\text{Ca}$	II. $\text{Violet}$
C. $\text{Sr}$	III. $\text{Apple Green}$
D. $\text{Ba}$	IV. $\text{Crimson Red}$

(A)

\displaystyle \text{A-II, B-I, C-IV, D-III}

(B)

\displaystyle \text{A-IV, B-III, C-II, D-I}

(C)

\displaystyle \text{A-II, B-IV, C-I, D-III}

(D)

\displaystyle \text{A-II, B-I, C-III, D-IV}

Q41Single correctHaloalkanes and Haloarenes

The compound which will have the lowest rate towards nucleophilic aromatic substitution on treatment with OH

^-

(A)

(B)

(C)

(D)

Q42Single correctHydrocarbons

The correct sequence of reagents for the preparation of Q and R is:

Toluene (benzene ring with CH3) labelled P, reacting to give PhCOOH (Q) and PhCH2OH (R).

(A)

\displaystyle \text{(i) KMnO}_4,\ \text{OH}^-;\ \text{(ii) MO}_2\text{O}_3,\ \Delta;\ \text{(iii) NaOH; (iv) H}_3\text{O}^+

(B)

\displaystyle \text{(i) Cr}_2\text{O}_3,\ 770\ \text{K, 20 atm; (ii) CrO}_2\text{Cl}_2,\ \text{H}_3\text{O}^+;\ \text{(iii) NaOH; (iv) H}_3\text{O}^+

(C)

\displaystyle \text{(i) CrO}_2\text{Cl}_2,\ \text{H}_3\text{O}^+;\ \text{(ii) Cr}_2\text{O}_3,\ 770\ \text{K, 20 atm; (iii) NaOH; (iv) H}_3\text{O}^+

(D)

\displaystyle \text{(i) Mo}_2\text{O}_3,\ \Delta;\ \text{(ii) Mo}_2\text{O}_3,\ \Delta;\ \text{(iii) NaOH; (iv) H}_3\text{O}^+

Q43Single correctAldehydes, Ketones and Carboxylic Acids

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: Acetal/Ketal is stable in basic medium.
Reason R: The high leaving tendency of alkoxide ion gives the stability to acetal/ketal in basic medium.
In the light of the above statements, choose the correct answer from the options given below:

(A)

\displaystyle \text{Both A and R are true but R is NOT the correct explanation of A}

(B)

\displaystyle \text{Both A and R are true and R is the correct explanation of A}

(C)

\displaystyle \text{A is false but R is true}

(D)

\displaystyle \text{A is true but R is false}

Q44Single correctSome Basic Principles of Organic Chemistry

Which of the following conformations will be the most stable?

(A)

Anti staggered Newman projection of butane

(B)

(C)

(D)

Q45Single correctOrganic Compounds Containing Nitrogen

The correct order in aqueous medium of basic strength in case of methyl substituted amines is:

(A)

\displaystyle \text{Me}_2\text{NH}>\text{MeNH}_2>\text{Me}_3\text{N}>\text{NH}_3

(B)

\displaystyle \text{Me}_3\text{N}>\text{Me}_2\text{NH}>\text{MeNH}_2>\text{NH}_3

(C)

\displaystyle \text{NH}_3>\text{Me}_3\text{N}>\text{MeNH}_2>\text{Me}_2\text{NH}

(D)

\displaystyle \text{Me}_2\text{NH}>\text{Me}_3\text{N}>\text{MeNH}_2>\text{NH}_3

Q46Single corrects-Block Elements

Compound A reacts with

\text{NH}_4\text{Cl}

and forms a compound B. Compound B reacts with

\text{H}_2\text{O}

and excess of

\text{CO}_2

to form compound C which on passing through or reaction with saturated

\text{NaCl}

solution forms sodium hydrogen carbonate. Compound A, B and C, are respectively

(A)

\displaystyle \text{Ca(OH)}_2, \text{NH}_4^{\oplus}, (\text{NH}_4)_2\text{CO}_3

(B)

\displaystyle \text{Ca(OH)}_2, \text{NH}_3, \text{NH}_4\text{HCO}_3

(C)

\displaystyle \text{CaCl}_2, \text{NH}_4^{\oplus}, (\text{NH}_4)_2\text{CO}_3

(D)

\displaystyle \text{CaCl}_2, \text{NH}_3, \text{NH}_4\text{HCO}_3

Q47Single correctQualitative Analysis

Correct match is

List-I (Cations)	List-II (Group reagents)
A. $\text{Pb}^{2+}, \text{Cu}^{2+}$	(i). $\text{H}_2\text{S}$ gas in presence of dilute $\text{HCl}$
B. $\text{Al}^{3+}, \text{Fe}^{3+}$	(ii). $(\text{NH}_4)_2\text{CO}_3$ in presence of $\text{NH}_4\text{OH}$
C. $\text{Co}^{2+}, \text{Ni}^{2+}$	(iii). $\text{NH}_4\text{OH}$ in presence of $\text{NH}_4\text{Cl}$
D. $\text{Ba}^{2+}, \text{Ca}^{2+}$	(iv). $\text{H}_2\text{S}$ in presence of $\text{NH}_4\text{OH}$

(A)

\displaystyle \text{A} \rightarrow \text{i}; \text{B} \rightarrow \text{iii}; \text{C} \rightarrow \text{iv}; \text{D} \rightarrow \text{ii}

(B)

\displaystyle \text{A} \rightarrow \text{i}; \text{B} \rightarrow \text{iii}; \text{C} \rightarrow \text{ii}; \text{D} \rightarrow \text{iv}

(C)

\displaystyle \text{A} \rightarrow \text{iv}; \text{B} \rightarrow \text{ii}; \text{C} \rightarrow \text{iii}; \text{D} \rightarrow \text{i}

(D)

\displaystyle \text{A} \rightarrow \text{iii}; \text{B} \rightarrow \text{i}; \text{C} \rightarrow \text{iv}; \text{D} \rightarrow \text{ii}

Q48Single correctChemical Kinetics

The variation of the rate of an enzyme catalyzed reaction with substrate concentration is correctly represented by graph

Four rate-vs-substrate-concentration plots labelled (a) linear rising, (b) linear falling, (c) saturation curve, (d) decaying curve.

(A)

(b)

(B)

(a)

(C)

(d)

(D)

(c)

Q49Single correctEnvironmental Chemistry

Some reactions of

\text{NO}_2

relevant to photochemical smog formation are

\text{NO}_2 \xrightarrow{\text{sunlight}} \text{X}+\text{Y}

\text{X}+\text{O}_2 \rightarrow \text{A}

\text{A}+\text{NO}_2 \rightarrow \text{B}

Identify A, B, X and Y.

(A)

\displaystyle \text{X}=\text{NO}, \text{Y}=[\text{O}], \text{A}=\text{O}_2, \text{B}=\text{N}_2\text{O}_3

(B)

\displaystyle \text{X}=[\text{O}], \text{Y}=\text{NO}, \text{A}=\text{O}_2, \text{B}=\text{O}_3

(C)

\displaystyle \text{X}=\dfrac{1}{2}\text{O}_2, \text{Y}=\text{NO}_2, \text{A}=\text{O}_3, \text{B}=\text{O}_2

(D)

\displaystyle \text{X}=\text{N}_2\text{O}, \text{Y}=[\text{O}], \text{A}=\text{O}_3, \text{B}=\text{NO}

Q50Single correctPeriodic Properties

Inert gases have positive electron gain enthalpy. Its correct order is

(A)

\displaystyle \text{He} < \text{Xe} < \text{Kr} < \text{Ne}

(B)

\displaystyle \text{Xe} < \text{Kr} < \text{Ne} < \text{He}

(C)

\displaystyle \text{He} < \text{Kr} < \text{Xe} < \text{Ne}

(D)

\displaystyle \text{Ne} < \text{He} < \text{Kr} < \text{Xe}

Q51NumericalSolutions

The osmotic pressure of solutions of PVC in cyclohexanone at 300 K are plotted on the graph. The molar mass of PVC is _______ g

\text{mol}^{-1}

(Nearest integer)
(Given : R = 0.083 L atm

\text{K}^{-1}\ \text{mol}^{-1}

)

Plot of pi/C vs C: a straight line with positive y-intercept and slope 6e-4.

Q52NumericalSome Basic Concepts of Chemistry

The density of a monobasic strong acid (Molar mass 24.2 g/mol) is 1.21 kg/L. The volume of its solution required for the complete neutralization of 25 mL of 0.24 M NaOH is _______

\times\ 10^{-2}

mL (Nearest integer)

Q53NumericalIonic Equilibrium

A litre of buffer solution contains 0.1 mole of each of

\text{NH}_3

and

\text{NH}_4\text{Cl}

. On the addition of 0.02 mole of HCl by dissolving gaseous HCl, the pH of the solution is found to be _______

\times\ 10^{-3}

(Nearest integer)
[Given :

\text{pK}_b(\text{NH}_3)=4.745

\log 2 = 0.301

\log 3 = 0.477

T = 298\ \text{K}

]

Q54NumericalCoordination Compounds

The number of paramagnetic species from the following is _______.

[\text{Ni(CN)}_4]^{2-}, [\text{Ni(CO)}_4], [\text{NiCl}_4]^{2-},

[\text{Fe(CN)}_6]^{4-}, [\text{Cu(NH}_3)_4]^{2+}

[\text{Fe(CN)}_6]^{3-}

and

[\text{Fe(H}_2\text{O)}_6]^{2+}

Q55NumericalPurification and Characterisation of Organic Compounds

In sulphur estimation, 0.471 g of an organic compound gave 1.4439 g of barium sulphate. The percentage of sulphur in the compound is _______ (Nearest Integer)
(Given: Atomic mass Ba: 137 u, S: 32 u, O:16 u)

Q56NumericalChemical Kinetics

For the first order reaction

\text{A} \rightarrow \text{B}

, the half life is 30 min. The time taken for 75% completion of the reaction is_______ min. (Nearest integer)
Given :

\log 2 = 0.3010

\log 3 = 0.4771

\log 5 = 0.6989

Q57Numericald- and f-Block Elements

How many of the following metal ions have similar value of spin only magnetic moment in gaseous state? _______
(Given : Atomic number : V, 23; Cr, 24; Fe, 26; Ni, 28)

\text{V}^{3+}, \text{Cr}^{3+}, \text{Fe}^{2+}, \text{Ni}^{3+}

Q58NumericalElectrochemistry

Consider the cell

\text{Pt(s)} \mid \text{H}_2\text{(g) (1 atm)} \mid \text{H}^+ (\text{aq}, [\text{H}^+]=1)\| \text{Fe}^{3+} (\text{aq}), \text{Fe}^{2+}(\text{aq}) \mid \text{Pt(s)}

Given

E^{o}_{\text{Fe}^{3+}/\text{Fe}^{2+}}=0.771\ \text{V}

and

E^{o}_{\text{H}^+/\frac{1}{2}\text{H}_2}=0\ \text{V}

T=298\ \text{K}

If the potential of the cell is 0.712 V, the ratio of concentration of

\text{Fe}^{2+}

\text{Fe}^{3+}

is _______ (Nearest integer)

Q59NumericalChemical Bonding

The total number of lone pairs of electrons on oxygen atoms of ozone is_______

Q60NumericalThermodynamics

An athlete is given 100 g of glucose (

\text{C}_6\text{H}_{12}\text{O}_6

) for energy. This is equivalent to 1800kJ of energy. The 50% of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of energy, the weight of extra water he would need to perspire is_______ g (Nearest integer)
Assume that there is no other way of consuming stored energy.
Given : The enthalpy of evaporation of water is 45 kJ

\text{mol}^{-1}

Molar mass of C, H & O are 12, 1 and 16 g

\text{mol}^{-1}

JEE Main 2023 January 25, Shift 1 Question Paper with Solutions

Physics30 questions

Chemistry30 questions

Mathematics30 questions

More JEE Main 2023 papers