JEE Main 24 June Shift 1 Question Paper with Answer Key (PDF updated) – Physics, Chemistry, Maths

JEE Main 24 June Shift 1 Question Paper with Answer Key – Download here the JEE Main 2022 question paper of 24 June, shift 1 with answers and solutions PDF. NTA conducted the JEE Mains 2022 session 1, second day, first shift on Friday, June 24, 2022, from 9 am to 12 pm. After that memory based question papers have been published. JEE Main 2022 official question paper PDF by NTA for 24 June, 1st shift can be downloaded as per schedule from jeemain.nta.nic.in. Know all the questions asked in physics, chemistry, mathematics on 24th June, 1st shift here.

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JEE Main 24 June Shift 1 Question Paper with Answer Key

Check here the question paper of JEE Main 2022 with the answer key for the exam held on 24 June 2022 (Friday) in shift 1.

JEE Main 24 June 2022 Shift 1 Question Paper Solutions by Resonance

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JEE Main 24 June Shift 1 Question Paper with Answer Key PDF

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JEE Main 24 June Shift 1 Question Paper with Answer Key – Subject Wise

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PHYSICS

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Qs. If at the centre of circular current carrying coil , magnetic field is B. then the magnetic field at distance r / 2 from on the axis of a coil from centre is ( r is the radius )

Ans. 8/5√5

Qs. In the given arrangement of two rods, with lengths L = 8 cm, and 2L = 16 cm, with temperatures shown as 100 degrees , 80 degrees, and that of junction at 80 degrees, find the value of K1/ K2.

Ans. 8:1

Qs. Equation two waves are given by
y = 5 sin ( wt – kx )
y = 3 sin ( wt – kx + 1.57 )
Find resultant amplitude
a. 8
b. 2
c. 4
d. √34

Ans. √34

Qs. A liquid drop having mass is in equilibrium in air . Electric field E is present in vertically upward direction . Find charge on drop .
a. mg / E
b. 2mg / E
c. 2mg / 4E
d. 0

Ans. mg/E

Qs. If B = 10⁹ Nm^-2 & fractional change in volume is 2 % find the volumetric stress required
a. 3 × 10⁷ Pa
b. 2 × 10⁷ Pa
c. 4 x 10⁷ Pa
d. 6 × 10⁷ Pa

Ans. 6 × 10⁷ Pa

Qs. In a given AC circuit which has maximum voltage V , and frequency 50 Hz . Find the time instant where the current in the circuit will be equal to its rms value
a. 2 ms
b. 2.5 ms
c. 3 ms
d. 3.5 ms

Ans. 2. 5ms

Qs. A block is projected over a rough surface with speed 9.8m/s. If the friction coefficient of surface-block interface is 0.5, find the distance after which the block stops.
a. 4.9 m
b. 9.8 m
c. 14.7 m
d. 19.6 m

Ans. 9.8 m

Qs. Find change in kinetic energy if a block is displaced from ( 1 , 2 ) to ( 2 , 3 ) on applying a force of F = 4x î + 3y²ĵ .
a.15J
b. 20 J
c. 25 J
d. 30 J

Ans. 25J

Qs. Stopping potential for wavelength ( λ ) = 491 nm is 0.41 V. If the wavelength is changed so that stopping potential becomes 1.02 V then , wavelength of new wave is
Ans. 3955

Qs. If a charged ball of mass m = 0.1 g is held stationary by an electric field E = 2 × 10⁹ V / m . The charge on the ball is ( g = 10 m / s² )
Ans. 5×10^-13 C

Qs. If the frequency of light is double that of the threshold frequency , the maximum velocity of photo electron is v₁ and if the frequency is five
times the threshold frequency , the maximum velocity of the photo electron is v₂ . If v₂ = xv₁ , the value of x is
Ans. 2

Qs. Two biconvex lenses of focal length 10 cm and refractive index 1.5 are kept in contact with space between the lenses filled with a medium of refractive index 1.25. Find the effective focal length in the given combination .
a. +10/3 cm
b. +20/3 cm
c. +10 cm
d. +20 cm

Ans. +20/3 cm

Qs. A projectile is projected with a horizontal velocity 25 m / s . If the range of the projectile is 75 m then , find the angle of projection of the projectile .
a. tan^-1 ( 4/5 )
b. tan^-1 ( 1/2 )
c. tan^-1 ( 3/5 )
d. tan^-1 ( 2 )

Ans. tan^-1 ( 3/5 )

Qs. A block of mass m is released from height h on a spring. The spring is depress by h/2. Find K.
Ans. 12 mg/h

Qs. What is the value of E_a for the given below graph ( in kJ ) ?

Qs. For the circuit shown in the figure , if voltmeter reads 1.2 V , then find the value of r .

Ans. 5 ohm

Qs. Find I_rms for the following circuit ?

Ans. 3.5mA

Qs. From a tower of height ‘h’, a ball is thrown upwards with the velocity ‘v’. Now it is thrown downwards with velocity ‘v’, then it takes 1.5 seconds to drop. How much time will the ball take if it is simply dropped from the tower.
Ans. 3

Qs. Stopping potential for e for wavelength 491 nm is 0.410 V incidence wavelength is changed to new value then stopping potential is 1.02 V . What is the new wavelength?
Ans. 396 nm

Qs. A body is projected 10m / sec . The angle of projection at 30 ° . Find range
A. 10/3
B. 20/3
C. 10
D. 40/3
Ans. 20/3

Qs. Two soap bubbles of radii r1 and r2 equal to 4cm and 5 cm are touching each other over a common surface S1 and S2 (shown in figure). Its radius will be
Ans. 20 cm

Qs. If R is the radius of earth, the height at which the weight of a body becomes 1/3 its weight on the surface of earth is
Ans. R/3

Qs. Efficiency of carnot engine was 25% at 27°C what will be the temperature to increase its efficiency by 100% more.
Ans. 400K

Qs. The molecule which has minimum role in photochemical smog
Ans. N2

Qs. The normal reaction ‘N’ for a vehicle of 800 kg mass, negotiating a turn on a 30° banked road at maximum possible speed without skidding is______ x 103 kg m/s2. [Given cos30° = 0.87, μs = 0.2]
Ans. 10 kN

a. 190.6 b. 253.55 c. 153.8 d. 89.5

Ans. 153.8

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CHEMISTRY

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Qs. What is the product in the following sequence of reactions?

Ans.

Qs. Galactose is which of the following epimer of glucose ?
a. C₁ – epimer
b. C₂ – epimer
c. C₃ – epimer
d. C₄ – epimer

Ans. C₄ – epimer

Qs. The process of removing Sulphur from ore is :
a. Roasting
b. Calcination
c. Leaching
d. Zone refining

Ans. Roasting

Qs. Which is a conjugated dione?

Ans.

Qs. Two isomers can be metamers if they have :
a. Different functional groups
b. Carbon skeleton is different
c. Number of carbon atoms on either side of groups are different
d. Different molecular formula

Ans. Number of carbon atoms on either side of groups are different

Qs. What is the most suitable reagent for the given conversion?

a. LiAlH₄
b. NaBH₄
c. H₂/Pd
d. B₂H₆

Qs. In the production of which of the following compounds is H₂ is used ?
A. CO₂
B. NH₃
C. P₄
D. SO₂

Ans. NH₃

Qs. Which of the following have the maximum melting point ?
A. Acetic acid
B. Formic acid
C. Propanoic acid
D. Butanoic acid

Ans. Acetic Acid

Qs. What is difference in oxidation number of chromium in chromate and dichromate?
Ans. 0

Qs. Which of the following is a polyester ?
A. Dacron
B. Polyethene
C. Teflon
D. DNA

Ans. Dacron

Qs. Find the number of sp² hybridized carbon in the product A in this reaction

Ans. 2

Qs. Find relationship between K, alpha , equilibrium pressure P.

Qs. How many oxides are Neutral Na₂O , Cl₂O₇ , AS₂O₃ , N₂O , NO .
Ans. N₂O , NO

Qs. Among LiF and MgCl₂ , which is more soluble in ethanol ?
a. LiF more soluble in ethanol
b. MgCl₂ is more soluble in ethanol
c. Both are equally soluble in ethanol
d. Both are not soluble in ethanol

Ans. MgCl₂ is more soluble in ethanol

Qs. Which of the following is not a broad spectrum antibiotics
A. Ampicillin
B. Tetracycline
C. Penicillin G
D. Amoxicillin

Ans. Penicillin G

Qs. Which of the following is a stable nitrogen halide ?
A. NF₃
B. NCL₃
C. NBr₃
D. NI₃

Ans. NF₃

Qs. In the structure of [ Co₂ ( CO ) 8 ] , X is the number of Co- Co bonds and y is the number of Co – CO terminal bonds . Then find the value of x + y .
Ans. 7

Qs. Which of the following is correct statement ?
A. B₂H₆ is lewis acid
B. All the B – H bonds in B₂H₆ , are equal
C. B₂H₆ has planar structure
D. Maximum number of hydrogen in one plane is six

Ans. A

Qs. Match the ore with its formula .

Column 1	Column 2
A. Calamine	P. PbS
B. Galena	Q. ZnCO3
C. Sphalerite	R. FeCO3
D. Siderite	S. ZnS

A ( A ) – ( P ) ; ( B ) – ( Q ) ; ( C ) – ( R ) ; ( D ) – ( S )
B. ( A ) – ( Q ) ; ( B ) – ( P ) ; ( C ) – ( S ) ; ( D ) – ( R )
C. ( A ) – ( Q ) ; ( B ) – ( P ) ; ( C ) – ( R ) ; ( D ) – ( S )
D. ( A ) – ( P ) ; ( B ) – ( Q ) ; ( C ) – ( S ) ; ( D ) – ( R )

Ans. ( A ) – ( Q ) ; ( B ) – ( P ) ; ( C ) – ( R ) ; ( D ) – ( S )

Qs. Which is present in enamel of the teeth?
Ans. Calcium phosphate Ca₃(PO₄)₂

Qs. What is the total number of lone pairs in melamine?
Ans. 6

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MATHS

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Qs. If f ( x ) = | 2x² + 3x – 2 | + sinx cosx ; x = [ 0 , 1 ] , then the sum of absolute maxima and absolute minima is .
a. 3 + 1/2 (sin 2 + sin 1)
b. 3 – 1/2 (sin 2 + sin 1)
c. 3 – 1/2 (sin 2 1 sin 1)
d. 3 + 1/2 (sin 2 – sin 1)

Ans. 3 + 1/2 (sin 2 – sin 1)

Qs. For a binomial probability distribution ( 33 , p ) such that 3P ( X = 0 ) = P ( X = 1 ) then find this > P ( X = 15 ) / P ( X = 18 ) – P ( X = 16 ) / P ( X = 17 )
a. 1000
b. 1320
c. 1221
d. 1121

Ans. 1320

Qs. Find the number of solution in [0, π/2] for the following

a. 0
b. 2
c. 3
d. 1

Ans. 0

Qs. Solution of the differential equation x dy/dx = 2y is
a. xy = c
b. y = cx²
c. cx = y²
d. x² = cy²

Ans. y = cx²

Qs. Find the domain of the following

Ans.

Qs. A tangent at ( x₁ , y₁ ) to the curve y = x³ + 2x² + 4 and passes through origin , then ( x₁ , y₁ ) is :
a ( 0,4 )
b ( -1,5 )
c ( 1,7 )
d ( 2 , 20 )
Ans. (1,7)

Qs. A tangent ax-µy = 2 to hyperbola a⁴x² / λ² – b²y² = 4. Then what is the value of the following: (λ/a)² – (µ/b)²?
Ans. 1

Qs. Find K

Ans. 1821/4

Qs. S={θ:θ ∈ [-π, π] – {+-π/2} & sinθ tanθ + tanθ =2sinθ.
Let T=Σcos2θ where θ ∈ S, then T+n(S) = ?
Ans. 9

Qs. A circle equation x² + y² + ax + by + c = 0 passes through ) ( 0 , 6 ) and touches y = x² at ( 2 , 4 ) . Find a + c
Ans. 12

Qs. < a_i > sequence is an A.P. with common difference 1 and

then find the value of n , where n is an even integer,

Ans. 96

Qs.

Qs. ( tan^-1 x)³ + ( cot^-1 x)³ = kπ³ , find the range of k :
Ans. [1/32, 7/8)

Qs. The coefficient of x²⁰ in ( 1 + x ) ( 1 + 2x ) ( 1 + 4x ) ( 1 + 8x ) ….. ( 1 + 2²⁰x ) is
A. 2²¹¹ – 2¹⁹⁰
B. 2¹⁹¹ – 2¹⁷¹
C. 2²³¹ – 2²⁰⁹
D.2¹⁶¹ – 2¹⁴²
Ans. 2²¹¹ – 2¹⁹⁰

Qs. The boolean expression( p⇒g ) ^ ( q⇒ ~ p ) is equivalent to :
Ans. ~ p

Qs. The equation of a plane passing through the line of intersection of the planes
x + 2y + 3z = 2 ,
x – y + z = 3
and at a distance 2/√3 from the point ( 3 , 1 , -1 ) is
Ans. -7/2

Qs. if the sum of the squares of the reciprocal of the roots α and β of the equation 3x² + λ x – 1 = 0 is 15, then 6 (α³ + β³)² is equal to
Ans. 224/9

Qs. Find the remainder when 3²⁰²² is divided by 5
Ans. 4

Qs. let f(x)=(x²+1)/(x²-1) and x belongs to real no. then the minimum value of f(x) is
Ans. -1

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Overview

Name of Exam	JEE Main 2022
Full Form	Joint Entrance Examination (Main)
Exam Date	24 June 2022
Day	Friday
Shift Name	Shift 1
Shift Timings	9 AM to 12 Noon
Exam Organizing Body	National Testing Agency (NTA)
Type of Exam	Engineering entrance exam

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FAQs

Qs. Was JEE Main 24 June 2022 Shift 1 Question Paper tough?

Ans. The JEE Main paper of 24 June, shift 1 was set by experts of National Testing Agency (NTA). The difficulty level was comparable to past year.

Qs. What are the papers for JEE Main?

Ans. The papers in JEE Main 24 June 2022 Shift 1 Question Paper with Answer Key were Mathematics, Physics, Chemistry.

Qs. Will questions be repeated from JEE Main 24 June 2022 Shift 1 Question Paper with Solutions?

Ans. NTA will not repeat exact questions in next Joint Entrance Examination Mains. However, in next JEE Main 2022 session 1, 2, question types may be repeated.

If you have any queries on JEE Main 24 June 2022 Shift 1 Question Paper with Answer Key, then please ask in comments below.