JEE Main 2024 April 5 Shift 1 Question Paper with Answer Key: Unofficial solutions PDF download (Available)
JEE Main 2024 April 5 Shift 1 question paper with answer key can be checked and downloaded here for Physics, Chemistry and Mathematics subjects.
JEE Main 2024 April 5 Shift 1 Question Paper with Answer Key: Day 2 and Shift 1 of JEE Main 2024 Session 2 was conducted on April 5 from 9 AM to 12 PM for Paper 1 B.Tech. The overall JEE Main 2024 April 5 Shift 1 question paper was found to be 'Moderate; with Mathematics again being the toughest section while Physics and Chemistry were said to be 'Easy to Moderate'. You may check a detailed, comprehensive analysis for the April 5 morning shift here: JEE Main Paper Analysis 2024 April 5 Shift 1.
Access the important links for Shift 2 here |
| JEE Main 2024 April 5 Shift 2 Question Paper with Answer Key: Solutions PDF download |
| JEE Main 2024 April 6 Question Paper Shift 1 |
JEE Main 2024 April 5 shift 1 question paper includes the memory-based Mathematics, Physics and Chemistry questions with answers. As NTA conducts JEE Mains exam in a computer-based format, the only source for the candidates appearing for the exam on April 6, 8 and 9 is the memory-based question paper. The memory-based JEE Main 2024 April 5 Shift 1 question paper shall help students of upcoming shifts understand the nature of questions and syllabus coverage.
| Expected JEE Main Percentile Score 2024 | Expected JEE Main Cutoff Percentile 2024 | Expected JEE Main Percentile Rank 2024 |
JEE Main 2024 April 5 Shift 1 Question Paper with Answer Key Solutions: Subject-wise
The subject-wise memory-based JEE Main 2024 April 5 Shift 1 question paper can be checked here:
JEE Main 2024 April 5 Physics Question Paper Shift 1 with Answers
The memory-based JEE Main 2024 April 5 Shift 1 question paper for Physics can be checked in the table below.
| Sr. No. | JEE Main 2024 April 5 Shift 1 Question Paper Physics | JEE Main 2024 April 5 Shift 1 Answer Key Physics |
| 1 | A block of mass m of 50 kg is lifted from the ground to a height of 20 m in two different ways as per the given figure. Find the ratio of work done by gravity in both cases. | 1:1 |
| 2 | A particle is moving in a straight line with constant acceleration with zero initial velocity. If the ratio of distance travelled by the particle in (n-1)th sec to that in the nth sec, where n = 10 is A/B. Find (A + B). | 36 |
| 3 | A point source of light is placed at the focus of a convex lens, then what is the shape of the wavefront after passing through the lens? | Planer |
| 4 | An alternating voltage is applied to a series LCR circuit. Find the current in the circuit. XL = 10 Ω, XC = 10 Ω, R = 10 Ω, across 220 V, 50 Hz. | 22 A |
| 5 | An electron and a proton are placed at a certain distance apart. What will be the ratio of the Coulombic force to the gravitational force between them of the order? | 1039 |
| 6 | Find the current flowing through the given circuit of resistances applied across a 12V battery. | 6/7 A |
| 7 | Find the dimension of √Gµ, where G is the universal gravitational constant and u is the energy gradient. | [L2T-2] |
| 8 | Find the kinetic energy of O2 at temperature 300 K? | 10.35 x 10-21 J/mol |
| 9 | Find the ratio of energy stored in the given two capacitor systems. In diagram 1, 3 capacitors of capacitance C are connected in parallel to each other across a potential V while in diagram 2, the capacitors are connected in series across the same potential V. | 9:1 |
| 10 | Find the tension for the given pulley system. Three weights of 10kg, 6kg, and 4kg are connected on one side of the pulley and the string is being pulled from the other side at an acceleration of 2 m/s2. | 192 |
| 11 | If the time period of a pendulum at height R (where R is the radius of the earth) from the surface of the earth is T1 and at height 2R, it is T2, then find out the relation between T1 and T2. | 3T1 = 2T2 |
| 12 | If two long, co-axial cylindrical cables, carrying the same current along their walls in opposite directions are placed concentric to each other. The magnetic field will be zero at which point? Point A: Inside the cylinder with the smaller radius. Point B: Inside the cylinder with the larger radius but outside the cylinder with the smaller radius. Point C: Outside both cylinders. | A and C |
| 13 | In YDSE for wavelength λ = 5000 Å, slit distance d = 3 mm and screen distance of 2 m, the intensity at a point which is 3 cm away from central maxima (assume intensity of light for each source is I0) is xI0, then x is? | 4 |
| 14 | Match the columns: Column A: 1. Kinetic Energy of Earth 2. Potential Energy of Earth and Sun 3. Total Energy of Earth and Sun 4. Escape Energy from Surface of Earth per Unit Mass Column B: a. -GMsMe/a b. GMsMe/2a c. GMe/R d. -GMsMe/2a | 1 - b, 2 -a, 3 - d, 4 - c |
| 15 | The correct relation between kinetic energy (KE) and total energy (TE) of a satellite orbiting around the planet is? | KE = | TE | |
| 16 | Three helium atoms from carbon at high temperature due to fusion. Masses of helium and carbon nuclei a.m.u are 4.0002 and 12 respectively. Find energy released in the process | 0.56 MeV |
| 17 | Two concentric conducting rings of radius a and b are such that a << b. Find the coefficient of mutual inductance of rings | μ0πa2/2b |
| 18 | Two wires A and B are made of the same material and have the same length. The cross-sectional radius of Wire A is 2 mm and that of Wire B is 4 mm. If the resistance of Wire B is 2 Ω, then find the resistance of Wire A. | 8 Ω |
| 19 | What is the angle (in degree) between the resultant of 2q - 2p and 2q + 2p with q? | 0 |
| 20 | What is the speed of an electron in the first orbit of a Hydrogen atom? | 2.2 x 106 m/s |
| 21 | What will be the ratio of the radius of gyration of a uniform hollow sphere and a uniform solid sphere about its diameter if both have the same radius? | √(5/3) |
JEE Main 2024 April 5 Chemistry Question Paper Shift 1 with Answers
The memory-based JEE Main 2024 April 5 Shift 1 questions for the Chemistry subject can be checked in the table below.
| Sr. No. | JEE Main 2024 April 5 Shift 1 Question Paper Chemistry | JEE Main 2024 April 5 Shift 1 Answer Key Chemistry |
| 1 | Arrange the following carbocations in increasing order of their stability. I - (CH3)3C+ II - (CH3)2CH+ III - CH3+ IV - CH3–CH2+ | III < IV < II < I |
| 2 | Assertion (A): Trans But-2-ene is less polar than cis But-2-ene. Reason (R): Trans But-2-ene has zero dipole moment. | Both Assertion (A) and Reason (R) are true and R is correction explanation of A |
| 3 | C6H6-NH2 → Br2 + H2O → Product If the mass of aniline taken is 9.3 g and the produced mass of the product is 26.4 g, then calculate the percentage yield of the reaction. (Atomic mass of Br: 80 g/mol) | 80 |
| 4 | Consider the reaction: Fe2O3(s) + 3CO(g) ⇌ 2Fe(s) + 3CO2(g) Which of the following will not affect the equilibrium state: (I) Addition of Fe2O3 (II) Addition of CO2 (III) Decreasing mass of Fe2O3 (IV) Removal of CO | (I) and (III) |
| 5 | Find the sum of atoms for the major products A and B of the given reaction. C6H6-Cl → (i) NaOH;, 673 K, 100 atm; (ii) H+/H2O) → C6H6-OH → conc. H2SO4 → A → conc. HNO3 → B | 14 |
| 6 | Find the work done for the given PV graph. | 61.5 J |
| 7 | How many of the following compounds can be prepared by Sandmever's reaction? C6H6-F, C6H6-Cl, C6H6-Br, C6H6-I, C6H6 | 2 |
| 8 | Identify the change occurring in the oxidation state of Mn in the cell reaction of a dry cell of a clock during its use. | +4 → +3 |
| 9 | Identify the correct relationship between the potential energy and the total energy of an electron in Bohr's model for single electron species. | PE = 2TE |
| 10 | Identify the product for the given reaction. | Alkane |
| 11 | If C = 42.1%, H = 6.4%, O = 52.5% and the molar mass is 342 g/mol, then what is the molecular formula of the compound? | C12H22O11 |
| 12 | If the number of neutrons in the most abundant isotope of boron is 'x' and its highest oxidation state in the unsaturated compound is 'y', then find the value of (x+y). | 9 |
| 13 | If the sum of the number σ and π bonds in the ethylene molecule is x, then find the value of x. | 6 |
| 14 | If the value of the mass of an electron is 9.1 × 10-31 kg. Find out the velocity of the electron in the first orbit of the H-atom. | 2.18 x 106 m/s |
| 15 | In the Lewis dot structure for NO2-, what is the total number of valence electrons around nitrogen? | 2 |
| 16 | In which of the following compounds of Mn has the highest oxidation state? a) MnO4- b) MnO2 c) MnO42- d) Mn2O3 | a) MnO4- |
| 17 | One litre solution of 0.2 M glucose is separated with its pure solvent with a semi-permeable membrane and 0.1 moles of NaCl is added to the solution. What will be the change in osmotic pressure of the solution will be at 300 K? (Take R = 0.083) | 5 |
| 18 | Statement I: Stability of the +1 oxidation state increases down the group in group-13. Statement II: The atomic radius of Ga is greater than that of Al. | Statement 1 is true but statement 2 is false. |
| 19 | The molar conductivities of a divalent cation (M2+) and monovalent anion (A-) are 57 S cm-1 mol-1 and 73 S cm-1 mol-1 respectively. Find the total molar conductivity shown by their compound in S cm-1 mol-1. | 130 |
| 20 | What is the correct order of strength of the following ligands according to the spectrochemical series? CN-, OH-, F-, Cl-, I- | I- < CN- < F- < OH- < Cl- |
| 21 | Which of the following cations will give a green colour in the Borax bead test? a) Iron b) Cobalt c) Manganese d) Nickel | a) Iron (Fe3+) |
| 22 | Which of the following given complexes has the least magnetic moment? a. [Fe(H2O)6]2+ b. [Co(H2O)]2+ c. [Ti(H2O)]3+ d. [Cr(H2O)6]2+ | c. [Ti(H2O)]3+ |
| 24 | Which of the following metals show the highest and maximum number of oxidation states? Mn, Fe, Co, Cr | Mn |
| 25 | Which one of the following compounds will give a positive ninhydrin test? Starch, Egg Albumin, Lipid, Cellulose | Egg Albumin |
| 26 | Which postulate of Dalton's theory is wrong? a) Matter consists of indivisible atoms b) All atoms of a given element have identical properties but different masses c) Compounds are formed when atoms of different elements combine in a fixed ratio d) Chemical reactions involve the reorganisation of atoms | b) All atoms of a given element have identical properties but different masses |
JEE Main 2024 April 5 Mathematics Question Paper Shift 1 with Answers
For the Maths subject, the memory-based JEE Main 2024 April 5 Shift 1 question paper can be checked in the table below.
| Sr. No. | JEE Main 2024 April 5 Shift 1 Question Paper Mathematics | JEE Main 2024 April 5 Shift 1 Answer Key Mathematics |
| 1 | ∫0π/4 dx / ( 1 + tanx ) = ? | (π/8) + (1/4) ln2 |
| 2 | ∫0π/4 [ 39sinx / (2 sinx + 3 cosx ) ] dx = ? | (3π/2) - (9 ln (5/3√2)) |
| 3 | A rectangle ABCD with ABCD with AB = 2 and BC = 4 is inscribed in rectangle PQRS such that vertices of ABCD lie on sides of PQRS then the maximum possible area (in sq. units) of rectangle PQRS is : | 18 |
| 4 | Consider the equation ax2 + bx + c = 0. Find the probability if a, b, c ∈ A where A = {1, 2, 3, ..., 8} that the equation has equal roots. | 1/64 |
| 5 | Find the numbers of distinct real roots |x||x + 2| - 5|x + 1| − 1 = 0. | 3 |
| 6 | If a ∈ R and |2a - 1| ≤ 3[a] + 2{a}, where [x] represents the greatest integer value of x and {x} represents the fractional of x, then find the value of 72amin. | 18 |
| 7 | If dy/dx + 2y = sin2x and y (0) = 3/4, then y (π/8) = ? | e-π/4 |
| 8 | If f (x) = x5 + 2x3 + 3x + 1 and g (f (x)) = x, then g(1)/g'(1) = ? | 0 |
| 9 | If f(x) = 1 and lim (t→x) [ ( t2f(x) - x2f(t) ) / ( t - x ) ] = 1, then find the value of 2f(2) + 3f(3). | 13 |
| 10 | If the 2x + 3y - k = 0 is a curve that intersects the axis at points A and B. A circle is drawn through A and B as diameter has equation x2 + y2 - 3x - 2y = 0. Then the latus rectum of ellipse x2 + 9y2 = k2 is L, then find the value of 3L. | 4 |
| 11 | If the intersection point of lines (x - 3)/3 = y/2 = (z + 1)/2 and (x - 7)/4 = y = (z + 1)/1 is P, then find the distance of Point P from (-2/5, -3/5, 2/5). | √11 |
| 12 | Let f(x) = x2 - 5x and g(x) = 7x - x2, then find the area between the curves. | 72 |
| 13 | Out of every given 10 items, 3 are defective. If x denotes the number of defective items and 5 items are drawn. Var(X) = σ2, then find the value of 96σ2. | 56 |
| 14 | Two lines passing through (2, 3) parallel to coordinate axes. A circle of unit radius touches both the lines and lies on the origin side. Find the shortest distance of the point (5,5) from the circle. | 4 |
| 15 | When 4 dice are rolled, what is the probability that the sum of the numbers obtained is 16? | 53/64 |
| 16 | -π∫π [ 2x ( 1 + sinx ) / ( 1 + cos2x ) ] dx = ? | π2 |
Also Read | Expected JEE Main Mathematics Marks vs Percentile 2024
JEE Main 2024 April 5 Shift 1 Question Paper with Answer Key Solutions by Coaching Institutes
The answer key solutions of the memory-based JEE Main 2024 April 5 Shift 1 question paper released by different coaching institutes can be checked and downloaded in PDF format here.
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