JEE Main 2024 April 6 Question Paper Shift 1 (Available): Answer key solutions PDF download
JEE Main 2024 April 6 question paper Shift 1 along with the answer key solutions can be checked and downloaded here in PDF format. JEE Main 6 April 2024 Shift 1 questions can be checked for Physics, Chemistry and Maths subjects.
JEE Main 2024 April 6 Question Paper Shift 1: Day 3 and Shift 1 of JEE Main 2024 Session 2 has taken place on April 6 from 9 AM to 12 PM for B.Tech Paper 1. JEE Main 2024 April 6 question paper Shift 1 includes memory-based questions with answers for the Chemistry, Mathematics and Physics subjects. Students appearing for the exam in upcoming shifts scheduled on April 8 and 9 can check the memory-based JEE Main 2024 April 6 Shift 1 question paper to understand the syllabus coverage and nature of questions.
Helpful links for JEE Main 2024 April 6 Shift 2 exam |
Since the Day 1 exam, JEE Main Question Paper 2024 has been moderate in terms of difficulty level and JEE Main 2024 April 6 Shift 1 question paper was the same. Students found Maths to be tough, some questions from Physical Chemistry to be tough while the rest of the subject was moderate. Physics was again easy to moderate. The weightage from Class 11th and 12th was balanced. For more details, you may check outthe comprehensive analysis here: JEE Main Paper Analysis 6 April 2024 Shift 1 with Student Review
JEE Main 2024 April 6 Question Paper Shift 1 for Physics
The memory-based questions of JEE Main 2024 April 6 Question Paper Shift 1 for Physics subject can be checked in the table below.
| Sr. No. | JEE Main 2024 April 6 Question Paper Shift 1 Physics | JEE Main 2024 April 6 Answer Key Shift 1 Physics |
| 1 | A ball of mass m and density ρ is made to free fall into a viscous liquid of a density ρ0, then find the viscous force in the ball (where terminal velocity is upwards). | mg(1 - ρ0/ρ) |
| 2 | A body uniformly accelerates (starting from rest) to a speed of 80 km/h in time t and then maintains this speed for a time interval of 3t. Find the average speed for the whole motion in km/h. | 70 |
| 3 | A bullet of mass 50 gm enters a metal sheet with a speed of 100 m/s and emerges with a speed of 40 m/s. Find the loss in kinetic energy of the bullet. | 210 J |
| 4 | A screw gauge has 100 divisions with a pitch 1 mm circular scale. Upon keeping a wire between the studs, the main scale reading is 1 mm and 42nd coincides with circular scale division with the reference line. Find the diameter of the circular cross-sectional wire in mm. | 1.42 |
| 5 | Find the kinetic energy to move a body of mass m from the surface of the earth to an infinite distance from the earth. (Assume g is the acceleration due to gravity on the surface of the earth & R is the radius of the earth) | mgR |
| 6 | Find the ratio of the root mean square speed of oxygen and helium molecules at the same temperature. | 1/2√2 |
| 7 | Find the value of the unknown resistance for the given circuit. | 6 Ω |
| 8 | For a spring block system, the error in time period calculation is 2% and the error in mass calculation is 1%. Find the percentage error in spring constant K. | 5% |
| 9 | Four particles A, B, C & D have masses m/2, m, 2m, and 4m. If they have equal momentum, then find the particle that has the highest kinetic energy. | A |
| 10 | If the radiation of energy 3.5 eV is incident on a metal, the stopping potential required is 0.5 V. Find the work function of the metal in eV. | 3 |
| 11 | If the radius of the earth is reduced to 3/4th of its original radius, then the time period of the earth's rotation becomes K hours 30 minutes. Find the value of K. | 13 |
| 12 | The ratio of the angle of the prism and minimum deviation is one for a prism whose refractive index is √3. Find the angle of the prism (in degrees). | 60° |
| 13 | The specific heat capacity for a gas following the relation PV2 = RT is (Cv is heat capacity at constant volume of R is gas constant) | Cv |
| 14 | Time period of a simple harmonic motion is 3.14 seconds, with an amplitude of 0.06 m. If the maximum velocity of the particle is k x 10-2 m/s, find the value of k. | 12 |
| 15 | Which of the following does not depend on the wave nature of light? A. Reflection of light B. Diffraction C. Photoelectric effect D. Polarization E. Interference | C only |
| 16 | Which of the following is not a semiconductor? Silicon, Germanium, Copper oxide, Graphite | Graphite |
Also Read | Expected JEE Main Physics Marks vs Percentile 2024
JEE Main 2024 April 6 Question Paper Shift 1 for Chemistry
The memory-based JEE Main 2024 April 6 Question Paper Shift 1 for Chemistry subject can be checked in the table below.
| Sr. No. | JEE Main 2024 April 6 Question Paper Shift 1 Chemistry | JEE Main 2024 April 6 Answer Key Shift 1 Chemistry |
| 1 | 9.3 g of aniline was treated with NaNO2 and HCl at 0 °C to get product A, which reacts with phen to form a product B. Assuming 100% yield in each step, what is the weight of product B obtained? | 20 |
| 2 | According to the reaction HX(ACI) = H+(ACI) + X-(ACL) Ka = 1.2 x 10-5 Find out the osmotic pressure of 0.03M HX solution at 300K (in atm). | 1 |
| 3 | Among the given molecules, identify the one that undergoes nucleophilic addition reaction at the fastest rate HCHO, CH3CHO, CH3CH2CHO, CH3CH2CH2CHO | HCHO |
| 4 | Calculate the ratio of t99.9 to t90 for a first-order reaction. | 3 |
| 5 | Consider the given reaction: H2 + I2 ⇌ 2HI If an equal number of molecules of H2, I2 and Hl are present at equilibrium, then Kp = t x 10-1. Find out t. | 10 |
| 6 | Density of x M solution of NaOH is 1.12 g/mL and molality is 3 m, then find the value of x. | 3 |
| 7 | Find the ratio of the shortest wavelengths in the Lyman and Balmer series for an H-atom. | Lyman : Balmer = 1 : 4 |
| 8 | How many of the following do not belong to Lanthanoids? Eu, Er, Lu, Cm, Yb, Tb | 1 (Cm) |
| 9 | Identify the correct match among the given species and the respective shape of the molecule. Species- Shape NH4+ - See-Saw SF4 - Tetrahedral CIF3 - T-shaped XeF6 - Square planar | CIF3 - T-shaped |
| 10 | Identify the intermediate not observed in the Reimer-Tiemann reaction. | Image-based option |
| 11 | KMNO4 → H+→ x (Product having Mn) What is the difference in spin-only magnetics moment (in B.M) between the given reactant and product? | 6 |
| 12 | Match List-l and List-II and choose the correct option. List -I (Reagent) (I) Dil. HCI (II) NH2CI + NH4OH + (NH4)2CO3 (III) NH4CI + NH4OH + H2S (IV) NH2CI + NH4OH List-II (radical) (A) Pb2+ (B) Al3+ (C) Mn2+ (D) Sr2+ | (I) - (A), (II) - (D), (III) - (C), (IV) - (B) |
| 13 | Match the following: Hybridization (I) sp3 (II) sp3d (III) sp2 (IV) sp3d2 Shape (A) Octahedral (B) Tertrahedral (C) Trigonal Bipyramidal (D) Trigonal Planar | (I) - (B), (II) - (C), (III) - (D), (IV) - (A) |
| 14 | Statement I: 2,4,6-trinitrotoluene is picric acid. Statement II: Reaction of 4-hydroxybenzene-1,3-disulphonic acid gives picric acid. | Statement l is false but statement ll is true. |
| 15 | Statement I: Gallium has low melting point, so it is used in thermometers. Statement II: A substance having 253 K can be measured by Ga thermometer. | Statement -l is true but statement ll is false. |
| 16 | Which compound will absorb light at more frequency? [Cr(H2O)6]3+, [CrCl6]3-, [Cr(CN)6]3-, [CrCl3(H2O)3] | [Cr(CN)6]3- |
| 17 | Which of the following is not a base of DNA? Adenine, Uracil, Guanine, Cytosine | Uracil |
| 18 | Which of the following is not a semiconductor? Si, Graphite, CuO, Ge | Graphite |
| 19 | Which of the following statements is incorrect? a. Glycerol is purified by vacuum distillation. b. Aniline is purified by steam distillation. c. Chloroform and aniline can be separated by distillation. d. Ethanol and water are an azeotropic mixture and can be separated by distillation. | d. Ethanol and water are an azeotropic mixture and can be separated by distillation. |
| 20 | Which of the following will have positive electron gain enthalpy? (A) Na + e- → Na- (B) O- + e- → O2- (C) Be + e- → Be- (D) F + e- → F- (E) N + e- → N- | B, C, and E |
JEE Main 2024 April 6 Question Paper Shift 1 for Maths
The memory-based JEE Main 2024 April 6 Question Paper Shift 1 for Mathematics subject can be checked in the table below.
| Sr. No. | JEE Main 2024 April 6 Question Paper Shift 1 Mathematics | JEE Main 2024 April 6 Answer Key Shift 1 Mathematics |
| 1 | ∫0π/4 [ ( cos2x sin2x ) / ( cos3x + sin3x ) ] dx = ? | 1/6 |
| 2 | Let α, β be the distinct roots of the quadratic equation x2 - (t2 - 5t - 6)x + 1 = 0 and an = αn + βn, then find the value of (a2023 + a2025)/a2024. | -1/4 |
| 3 | Find the shortest distance between the two lines (x - 3)/2 = (y + 15)/-7 = (z - 9)/5 and (x + 1)/2 = (y - 1)/1 = (z - 9)-3. | 4√3 |
| 4 | If dy/dx + y/x lnx = 1/x2 lnx and y(e-1) = 0, then find the value of y(e). | (e2 - 1)/e |
| 5 | Solve the following differential equation: dy/dx + y/(1 + x2) = e- tan^-1(x) | y etan^-1(x) = x + C |
| 6 | If cot-13 + cot-14 + cot-15 + cot-1n = π/4, find the value of n. | 47 |
| 7 | Find the interval in which xx is strictly increasing. | (1/e, ∞) |
| 8 | A company produces automobiles. It has two factories. Factory A produces 60% of the automobiles and the rest is produced by factory B. 80% of the automobiles produced by A are up to the standards and 90% of the automobiles produced by B are up to the standards. If an automobile is selected and found as standard, the probability that it came from B is P. Find 126P. | 54 |
| 9 | For a sample observation, standard deviation = 4 and mean = 10 of 20 observations. One term was taken wrong i.e., instead of 12, it was taken to be 8. Find the correct standard deviation. | √3.96 |
| 10 | If A = [100,700], how many numbers are in A which are neither multiple of 3 nor 4. | 300 |
| 11 | If the second, third, and fourth terms of the expressions (x + y)n are 135, 30, and 10/3 respectively, then find the value of 9(n3 + x2 + y). | 1153 |
| 12 | Find the number of triangles formed whose vertices are also vertices of a regular octagon but the side of triangles is not common with sides of the octagon. | 16 |
| 13 | Find the number of real solutions of x |x + 5| + 2 |x + 7| - 2 = 0. | 3 |
| 14 | A point P (10, -2, -1) and R (1,7,6). If Q is a foot of the perpendicular from R to the line joining points (2, -5,11) and (6, -7,5), then find the value of (PQ)2. | 203/14 |
| 15 | If Ar = | ( r 1 n2/2 + α ), ( 2r 2 n2 - β ), ( 3r - 1 3 n (3n - 1)/2 ) |, then the value of 2A10 - A8 = ? | 4α + 2β |
| 16 | R is defined on set X = {1,2,..., 20} and R1 = {(x, y): 2x - 3y = 2}, R2 = {(x, y): 5x-4y = 0}. If M, N represent the number of elements to be added to make R1 & R2 symmetric respectively, then find the value of M + N. | 10 |
Also Read | Expected JEE Main Maths Marks vs Percentile 2024
JEE Main 2024 April 6 Question Paper Shift 1 with Answer Key Solutions by Coaching Institutes
The answer key solutions for JEE Main 2024 April 6 question paper Shift 1 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 6 Question Paper Shift 1 for Physics by Aakash BYJU’s |
| Aakash BYJU’s - Chemistry | JEE Main 2024 April 6 Question Paper Shift 1 for Chemistry by Aakash BYJU’s |
| Aakash BYJU’s - Mathematics | JEE Main 2024 April 6 Question Paper Shift 1 for Mathematics by Aakash BYJU’s |
| Resonance - Physics | JEE Main 2024 April 6 Question Paper Shift 1 for Physics by Resonance |
| Resonance - Chemistry | JEE Main 2024 April 6 Question Paper Shift 1 for Chemistry by Resonance |
| Resonance - Mathematics | JEE Main 2024 April 6 Question Paper Shift 1 for Mathematics by Resonance |
| Vedantu - Physics | JEE Main 2024 April 6 Question Paper Shift 1 for Physics by Vedantu |
| Vedantu - Chemistry | JEE Main 2024 April 6 Question Paper Shift 1 for Chemistry by Vedantu |
| Vedantu - Mathematics | JEE Main 2024 April 6 Question Paper Shift 1 for Mathematics by Vedantu |
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