JEE Main 2024 April 8 Question Paper with Answer Key (Available): Shift 1, 2 questions and solutions PDF
JEE Main 2024 April 8 question paper for Shift 1 and 2 along with the answer key solutions can be checked and downloaded here in PDF format. JEE Main 8 April 2024 Shift 1 and 2 questions are provided here for all subjects.
JEE Main 2024 April 8 Question Paper with Answer Key: Day 4 of JEE Main 2024 Session 2 has been conducted on April 8 for B.Tech Paper 1, of which the first shift concluded at 12 PM while the second shift concluded at 6 PM. JEE Main 2024 April 8 question paper for Shift 1 and Shift 2 includes the memory-based questions with answers for Chemistry, Mathematics and Physics subjects. Students appearing for the exam in upcoming shifts scheduled on April 9 can check the memory-based JEE Main 2024 April 8 question paper Shift 1 and 2 to understand the syllabus coverage and nature of questions.
So far, JEE Mains 2024 question paper has been moderate as per the Day 1, 2 and 3 expert analysis. As per the first reviews coming on JEE Main 2024 April 8 question paper Shift 1, the overall difficulty level has been the same as that of the earlier shift. Chemistry was more NCERT-focused and Physics was more formula-based. Mathematics was tricky, tough, and lengthy. You can check the detailed examination analysis here: JEE Main Paper Analysis 8 April 2024: Shift 1 student reviews, difficulty level
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| Expected JEE Main Percentile Score 2024 | Toughest Shift of JEE Main April 2024 (Session 2) | Expected JEE Main Percentile Rank 2024 |
JEE Main 2024 April 8 Question Paper Shift 1 with Answer Key
The subject-wise memory-based JEE Main 2024 question paper for 8 April Shift 1 can be checked here.
JEE Main 2024 April 8 Question Paper Physics Shift 1
The memory-based questions of JEE Main Physics for the Shift 1 exam on April 8 can be checked in the table below.
| Sr. No. | JEE Main 2024 April 8 Question Paper Physics Shift 1 | JEE Main 2024 April 8 Answer Key Physics Shift 1 |
| 1 | A ball initially at rest, breaks into two masses m1 and m2 that move with speeds v1 and v2 respectively. Find the ratio of the kinetic energy of the right mass to the left mass. | m2/m1 |
| 2 | A ball of mass 150 gm moving with a speed of 20 m/s is caught in 0.1 sec. Find the average force exerted by the hands. | 30 N |
| 3 | A solenoid of 10 turns cross-section area 36 cm2 and of resistance 10 mΩ is placed in a magnetic field which is varying at a constant rate of 0.5 T/sec. Find the power of heat dissipation. | 3.24 W |
| 4 | An electromagnetic radiation of intensity 360 W/cm2 is incident normally on a non-reflecting surface having area A. The average force on the surface is found to be 2.4 x 10-4 N. Find the value of A. | 0.02 m2 |
| 5 | For the given logic circuit, find the correct relation between the input (A, B) and the output (Y). | Y = 0 |
| 6 | From the PV curve shown in the diagram given, consisting of two isothermal and two adiabatic curves, identify the correct relation between Va, Vb, Vc, and Vd. | Va / Vd = Vb / Vc |
| 7 | If an electron and a proton have the same kinetic energy, find the ratio of their linear momentum. (Mass of electron = 9.1 × 10-31 kg, Mass of proton = 1.67 x 10-27 kg) | 2.33 x 10-2 kg-m/s |
| 8 | If the radius of the earth is reduced by one-fourth of its present value, then find the new duration of days. | 13 hours and 30 minutes |
| 9 | In a clock, the second hand and minute hand are 75 cm and 60 cm respectively. After 30 minutes, the ratio of distance travelled by the tip of the second hand to that of the minute hand is x. Find x. | 75 |
| 10 | In a diffraction pattern of a monochromatic light of wavelength 6000 pm, the slit width is 3 mm. If the angular position of 2nd minima is N × 10-6 rad, find Ν. | 4 |
| 11 | In a series LCR Circuit, the value of resistance as well as (XL - XC) is halved and if I1 is old current amplitude) and I2 is the new current amplitude, then identify the correct relation between I1 and I2. | I2 = 2I1 |
| 12 | The critical angle for a pair of medium is given to be 45°. Find the ratio of the refractive index of rarer to denser medium. | 1 : √2 |
| 13 | The diameter of a sphere having a mass of 8.635 gm is measured by a vernier scale. 10 divisions of the vernier scale coincide with 9 divisions of the main scale and the main scale division is 1 mm. If the reading of the main scale is 2 cm & 2nd division of the vernier coincides with a main scale division, find the density of the sphere. | 2 g/cm3 |
| 14 | The organ pipes have the same length, one is open while the other is closed. Find the ratio of the 7th overtone of those organ pipes. | 16/15 |
| 15 | The ratio of molar heat capacity at a constant volume of one mole monoatomic gas to the one mole diatomic gas is given as a/b, where a and b are co-prime b numbers, then find (a + b). | 8 |
| 16 | Three particles having different masses have the same momentum. Find the ratio of their kinetic energy. (m1 = 400 gm, m2 = 1.2 kg, m3 = 1.6 kg) | 2.5 : 0.8 : 0.6 |
| 17 | Two planets of mass m1 and m2 are revolving around their orbits r1 and r2 respectively. The angular momentum of planets are in the ratio of 3 then find T1/T2 if T1 and T2 are periods of revolutions. | 27 (m2/m1)3 |
| 18 | Two vectors, one along the y-axis and the other at -45° wrt x-axis, have a resultant along the x-axis. If the value of the resultant is A√x, find x. | 3 |
| 19 | Write the correct expression for Bernoulli's theorem. | P + ρgh + ρv2/2 = constant |
JEE Main 2024 April 8 Question Paper Chemistry Shift 1
The memory-based JEE Main 2024 April 8 Shift 1 questions for the Chemistry subject can be checked in the table below.
| Sr. No. | JEE Main 2024 April 8 Question Paper Chemistry Shift 1 | JEE Main 2024 April 8 Answer Key Chemistry Shift 1 |
| 1 | A solution contains 100 g of water and 10 g of AB2. The boiling of the solution was found to be 100.52%. Find the degree of dissociation of AB2 if MW of AB = 200 gm/mol and Kb = 0.52 Kkg/mol. | 0.5 |
| 2 | CoCl3.XNH3 on reaction with excess AgNO3(aq.) gives two moles of AgCl as a precipitate. Find the summation of the oxidation state of Co in CoCl3.xNH3 and x. | 8 |
| 3 | Find among the spin-only magnetic moment of M in MO42, M being the atom having the least atomic radii among Sc, Ti, V, Cr, Mn, Zn. ((Round off the answer to the nearest integer.) | 0 |
| 4 | Find out the magnitude of work done on the gas when 1 mole of an ideal gas undergoes compression from 9 litre to 1 litre through a reversible isothermal process. (in Joule) (Nearest integer) | 4981 |
| 5 | Find the mass (in g) of O2 required for the combustion of 900 g of glucose. | 960 |
| 6 | Find the total number of secondary carbon atom present in the given compound: CH3–C–H(CH3)–CH2–CH(CH3)–CH3 | 1 |
| 7 | Identify the aromatic compound from the given options. | Image-based answer |
| 8 | Identify the compound name from the given diagrammatic representation. | --- |
| 10 | Identify the magnetic properties of these two compounds: [Fe(H2O)6]2+ and [Cu(H2O)6]2+. | Both compounds are Paramagnetic |
| 11 | Identify the molecule that will undergo SN2 reaction with the fastest rate. | Image-based answer |
| 12 | If an electron and a proton have the same de-Broglie wavelength, what will be the ratio of their kinetic energy? Assume Me : Mp = 1 : 1836. | 1836 |
| 13 | Match the following: Column-I 1. NH3 2. BrF5 3. PCl5 4. CCl4 Column-II a. Pentagonal Bipyramidal b. Tetrahedral c. Pyramidal d. Square pyramidal | 1 - c, 2 - d, 3 - a, 4 - b |
| 14 | Statement-I: Stability of +1 oxidation state increases as Ga < In < Tl. Statement-II: Stability of +1 oxidation state increases down the group due to the inert pair effect. | Both Statement-I and Statement-II are correct. |
| 15 | Which of the following compounds will not give Hins berg's test NH2-NH CO-NH2, CH3CO-NH2, CH3-CH2-NH2, CH3-NH-CH3 | CH3CO-NH2 |
| 16 | Which of the following has all paired electrons in t2g? a. [Cr(H2O)6]3+ b. [Co(H2O)6]2+ c. [Co(H2O)6]3+ d. [Fe(H2O)6]2+ | c. [Co(H2O)6]3+ |
| 17 | Which of the following is incorrect for paramagnetic materials? a. They are strongly attracted by magnetic field. b. Magnetic susceptibility is slightly more than zero. c. They align in the direction of the magnetic field. d. None of the above. | a. They are strongly attracted by magnetic field. |
| 18 | Which of the following statements regarding D-glucose is incorrect? a. It does not give Schiff's test. b. It has an asymmetrical C-atom. c. It forms a dicarboxylic acid in reaction with Br2 water. d. In aqueous solution it exists as an equilibrium mixture of two anomeric forms. | c. It forms a dicarboxylic acid in reaction with Br2 water. |
| 19 | Which of the following will undergo a disproportionation reaction in an aqueous alkaline medium? a. I2, Cl2 b. F2, Cl2 C. I2 d. Cl2, Br2, I2 | d. Cl2, Br2, I2 |
| 20 | X ⇌ Y; K1 = 1 Y ⇌ Z; K2 = 2 Z ⇌ W; K3 = 4 Find keq for X ⇌ W | 8 |
JEE Main 2024 April 8 Question Paper Maths Shift 1
The memory-based JEE Main Mathematics question paper for the Shift 1 exam of April 8, 2024, can be checked in the table below.
| Sr. No. | JEE Main 2024 April 8 Question Paper Maths Shift 1 | JEE Main 2024 April 8 Answer Key Maths Shift 1 |
| 1 | 3 blue balls and 4 yellow balls are in a box. 3 balls are drawn at random. Let variance and mean be X & Y respectively then find the value of 3X + 4Y. | 7.34 |
| 2 | A = [ ( 2 -1 ), ( 1 1 ) ] If the sum of the diagonal elements of A13 is 3n, then find the value of n. | 7 |
| 3 | Find the number of 3-digit numbers that are not divisible by 3 and made using the digits {2, 3, 5, 7, 4} and repetition is not allowed. | 36 |
| 4 | For 82x - 16.8x + 48 = 0, find the sum of values of x. | 1 + log86 |
| 5 | I(n) = ∫01 ( 1 - xk )n dx, k ∈ N and 147.I(20) = 148.I(21). Find k. | 7 |
| 6 | I(x) = ∫ 6 dx / (sin2x (1 + cot x)2) I(0) = 3 I(π/12) = ? | (21 - 9√3) / (3 - √3) |
| 7 | If | z + 2 | = 1, Im ((z + 1)/(z + 2)) = 1/5, then find Re(z) < -2. | 24/25 |
| 8 | If A = [ ( 2 a 1 ), ( 1 3 1 ), ( 0 5 b ) ] and A3 = 4A2 - A - 21I, then find the value of (2a +3b). | -13 |
| 9 | If the following pattern continues, then find the row in which the number 5437 lies. 1 2 3 4 5 6 7 8 9 10 | 104 |
| 10 | If the sum of two positive numbers a & b is 24 then the probability of the product of numbers is not less than 3/4 times of the maximum possible product of a and b, then the probability of such event is m/n (m, n are co-prime) then find the value of n - m. | 1 |
| 11 | Let f(x) = (2x - 3)2/3(x + 2). Find the number of critical points of f(x). | 2 |
| 12 | Let f(x) = cos x − x + 1, x ∈ [0, π], then a. f(x) is increasing in (0, π) b. f(x) is decreasing in (0, π) c. f(x) is increasing in (0, π/2) and deceasing in (π/2, π) d. f(x) is decreasing in (0, π/2) and increasing in (π/2, π) | b. f(x) is decreasing in (0, π) |
| 13 | Let f(θ) = (sin4θ + 3cos2θ) / (sin4θ + cos2θ), then the range of f(θ) ∈ [a, b]. Find the sum of infinite GP where the first term is 64 and the common ratio is a/b. | 96 |
| 14 | Let sin x = -3/5; π< x <3, then find 80 (tan2x - cosx). | 109 |
| 15 | lim(x→0) [ (1 - (cosx)1/2. (cos2x)1/2. (cos3x)1/3. ... . (cosnx)1/n) / x2 ] | (n2 + n - 1)/4 |
| 16 | R= (a, b): a + 5b = 42 and a, b ∈ N has m elements and Σmn=1 (1 + in!) = x + iy (where i = √-1). Find x + y + m. | 20 |
| 17 | Two circles touch each other at (6, 6): c1: (x - α)2 + (y - β)2 = r12 and c2: (x - 6)2 + (y - 15/2)2 - r22 If line joining centres of c1 & c2 is divided by (6, 6) in 2: 1 internally, then (α + β) + 4(r12 + r22) = ? | 54 |
| 18 | y = ∫ etanxdx / cos2x (1 + e2tanx) y(0) = 6 y(π/4) = ? | tan-1e + 6 - π/4 |
| 19 | Find the area bounded by y = max{sinx, cos x} and x-axis in -π ≤ x ≤ π interval in sq. units. | To be updated |
JEE Main 2024 April 8 Question Paper with Answer Key Shift 1 by Coaching Institutes
The answer key solutions for JEE Main 2024 April 8 question psper for Shift 1 exam released by different coaching institutes can be checked and downloaded in PDF format here.
| Coaching Institute & Subject | Answer Key Solutions |
| Aakash BYJU’s - Physics | JEE Main 2024 April 8 Question Paper Shift 1 for Physics by Aakash BYJU’s |
| Aakash BYJU’s - Chemistry | JEE Main 2024 April 8 Question Paper Shift 1 for Chemistry by Aakash BYJU’s |
| Aakash BYJU’s - Mathematics | JEE Main 2024 April 8 Question Paper Shift 1 for Mathematics by Aakash BYJU’s |
| Vedantu - Physics | JEE Main 2024 April 8 Question Paper Shift 1 for Physics by Vedantu |
| Vedantu - Chemistry | JEE Main 2024 April 8 Question Paper Shift 1 for Chemistry by Vedantu |
| Vedantu - Mathematics | JEE Main 2024 April 8 Question Paper Shift 1 for Mathematics by Vedantu |
| Resonance - Physics | JEE Main 2024 April 8 Question Paper Shift 1 for Physics by Resonance |
| Resonance - Chemistry | JEE Main 2024 April 8 Question Paper Shift 1 for Chemistry by Resonance |
| Resonance - Mathematics | JEE Main 2024 April 8 Question Paper Shift 1 for Mathematics by Resonance |
JEE Main 2024 April 8 Question Paper Shift 2 with Answer Key
The subject-wise memory-based JEE Main 2024 question paper for 8 April Shift 2 can be checked here.
JEE Main 2024 April 8 Question Paper Physics Shift 2
The memory-based questions of JEE Main Physics for the Shift 2 exam on April 8 can be checked in the table below.
| Sr. No. | JEE Main 2024 April 8 Question Paper Physics Shift 2 | JEE Main 2024 April 8 Answer Key Physics Shift 2 |
| 1 | In given AC circuit consisting a resistor R and an inductor L and source emf, two voltmeter V1 & V2 are connected as shown. If V2 = 36 volts then inductance of inductor is (Resistance R is 91 .Ohms ) | .08 H |
| 2 | An electron and a proton has same de Broglie wavelength. If Ke and Kp are their respective kinetic energies, then | Ke > Kp |
| 3 | A block of mass 5 kg is released as shown in the figure. Surface CD is rough with = 0.5, rest of all the surfaces are smooth. Find the maximum compression in the spring (initially spring is in its natural length.) | 2.0 m |
| 4 | An object is projected such that its horizontal range and maximum height are same, then angle of projection is | tan-1 (4) |
| 5 | A heater with rating (1000 W, 100 V) is connected with AC source in series with inductor of reactance of 10 ohms as shown. Power dissipated in heater is | 500 W |
| 4 | A vernier caliper having least count 1 20 N cm and one main scale division is 1 mm, then value of one vernier scale division is | 2 N - 1/2N |
| 5 | On two separate inclined plane (one smooth and other rough). Inclination of angle theta with horizontal. Two particles (starting from rest) travels same length in time t and nt respectively where n > 1. Friction coefficient for earth surface as | (1 - 1/n2) tan theta |
| 6. | A screw gauge with a pitch of 1 mm and a circular scale with 100 divisions is used to measure the thickness of aluminium sheet. Negative zero error of 0.05 mm is there. What is the thickness of the sheet when main scale reading is 4 mm and 60th division coincides with the main scale line | 10.05 mm |
Also Read | Expected JEE Main Physics Marks vs Percentile 2024
JEE Main 2024 April 8 Question Paper Chemistry Shift 2
The memory-based questions of JEE Main Chemistry for the Shift 2 exam on April 8 can be checked in the table below.
| Sr. No. | JEE Main 2024 April 8 Question Paper Chemistry Shift 2 | JEE Main 2024 April 8 Answer Key Chemistry Shift 2 |
| 1 | Consider the given reaction Cr2O72- <---> CrO42- The reaction shifts in forward direction in | Basic Medium |
| 2 | If de- Broglie wavelength of electron is equal to de-Broglie wavelength of proton, then what is the relation between their kinetic energy | KEe > KEp |
| 3 | Select the correct options: Statement 1: Benzene sulphonyl chloride feacts with 1°, 2° and 3° amines. Statement 2: All products of the reaction above are soluble in NaOH. | Statement 1 and 2 both are false |
| 4 | The total number of compounds having Bond order 2 among the following are: F2, N2, Ne, 02, N2, Be2 | C2 |
| 5 | 1 mole of ethylene glycol is dissolved in 9 mol of water. Calculate the mass percentage of ethylene glycol in the resulting solution. | 27.67% |
| 6 | What is the structure of a carbocation? (1) Triangular planar (2) Tetrahedral (3) Trigonal bipyramid (4) Triangular pyramid | 1 |
Also Read | Expected JEE Main Chemistry Marks vs Percentile 2024
JEE Main 2024 April 8 Question Paper Maths Shift 2
The memory-based questions of JEE Main Mathematics for the Shift 2 exam on April 8 can be checked in the table below.
| Sr. No. | JEE Main 2024 April 8 Question Paper Maths Shift 2 | JEE Main 2024 April 8 Answer Key Maths Shift 2 |
| 1 | 8 | |
| 2 | Number of 5 letter words made from the word "MATHEMATICS" is equal to | 13560 |
| 3 | 27/5 | |
| 4 | A ray of light coming from (3,1) incident on 2x+y=6 and deflected ray passing through (7,2) . If equation of incident ray is ax+by+1=0 then a2 + b2 + 3ab = | -11/25 |
| 5 | If |x + 1||x + 3| - 4|x + 2| + 5 = 0, then sum of squares of solutions is | 16 |
Also Read | Expected JEE Main Maths Marks vs Percentile 2024
Also Read |
| JEE Main Answer Key Expected Release Date 2024 Session 2 | JEE Main Response Sheet Expected Release Date 2024 Session 2 |
JEE Main 2024 April 8 Question Paper with Answer Key Shift 2 by Coaching Institutes
The JEE Main 2024 April 8 question paper for the Shift 2 exam released by different coaching institutes can be checked and downloaded in PDF format here.
| Coaching Institute & Subject | Answer Key Solutions |
| Aakash BYJU’s - Physics | JEE Main 2024 April 8 Question Paper Shift 2 for Physics by Aakash BYJU’s |
| Aakash BYJU’s - Chemistry | JEE Main 2024 April 8 Question Paper Shift 1 for Chemistry by Aakash BYJU’s |
| Aakash BYJU’s - Mathematics | JEE Main 2024 April 8 Question Paper Shift 1 for Mathematics by Aakash BYJU’s |
| Vedantu - Physics | JEE Main 2024 April 8 Question Paper Shift 1 for Physics by Vedantu |
| Vedantu - Chemistry | JEE Main 2024 April 8 Question Paper Shift 1 for Chemistry by Vedantu |
| Vedantu - Mathematics | JEE Main 2024 April 8 Question Paper Shift 1 for Mathematics by Vedantu |
| Resonance - Physics | JEE Main 2024 April 8 Question Paper Shift 1 for Physics by Resonance |
| Resonance - Chemistry | JEE Main 2024 April 8 Question Paper Shift 1 for Chemistry by Resonance |
| Resonance - Mathematics | JEE Main 2024 April 8 Question Paper Shift 1 for Mathematics by Resonance |
JEE Main NIT Percentile-wise Admission Chances
| Percentile Range | Analysis of admission chances |
| 85 to 90 percentile | Will 85 to 90 Percentile in JEE Main 2024 be enough for NITs? |
| 91 to 93 percentile | Will 91 to 93 Percentile in JEE Main 2024 guarantee NIT Admission? |
| 93 percentile | Will 93 Percentile in JEE Main 2024 guarantee NIT Admission under HS quota? |
| 94 percentile | Will 94 Percentile in JEE Main 2024 guarantee NIT Admission? |
| 95 percentile | Will 95 Percentile in JEE Main 2024 guarantee admission to NITs? |
| 96 (HS) percentile | Will NIT Admission Under the Home State (HS) Quota be possible for the 96 Percentile in JEE Main 2024? |
| 96 (OS) percentile | Will 96 Percentile in JEE Main 2024 be enough for NIT Admission under OS Quota? |
| 97 (HS) percentile | Will 97 Percentile in JEE Main 2024 be enough for admission to top NITs? |
| 97 (OS) percentile | Will NIT Admission under Other State (OS) Quota be Possible for 97 Percentile in JEE Main 2024? |
| 98 (HS) percentile | Will 98 Percentile in JEE Main 2024 guarantee admission to top NITs? |
Percentile to Expected Marks and Rank |
Marks to Expected Percentile and Rank |
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