JEE Main 2024 April 4 Question Paper with Answer Key Shift 1 (PDF Available): Unofficial solutions download
JEE Main question paper with answer key 4 April 2024 Shift 1 exam can be checked and downloaded here for Physics, Chemistry and Mathematics subjects.
JEE Main 2024 April 4 Question Paper with Answer Key Shift 1: Day 1 and Shift 1 of JEE Main 2024 Session 2 concluded on April 4 from 9 AM to 12 PM for B.Tech (Paper 1). JEE Main 2024 April 4 question paper for Shift 1 includes the memory-based Physics, Chemistry and Mathematics questions with answers. As the JEE exam mode is online, the only question paper source for the candidates appearing for the exam on April 5, 6, 8 and 9 is the memory-based question paper. JEE Main 2024 April 4 Shift 1 memory-based question paper shall help students of upcoming shifts understand the nature of questions and syllabus coverage.
| JEE Main 2024 April 5 Shift 1 Question Paper with Answer Key | JEE Main Shift 2 Paper Analysis 4 April 2024 | JEE Main 2024 April 4 Shift 2 Question Paper with Answer Key |
JEE Main 2024 April 4 Shift 1 Question Paper with Answer Key Solutions: Subject-wise
The subject-wise memory-based JEE Main question paper for 4 April 2024 Shift 1 can be checked here. You can also checkJEE Main Paper Analysis 4 April 2024 Shift 1.
JEE Main Physics Questions with Answers 4 April 2024 Shift 1
The memory-based questions of JEE Main Physics for the Shift 1 exam on April 4 can be checked in the table below.
| Sr.No. | Question | Answer |
| 1 | A cubical arrangement of 12 resistors each having resistance R is shown. Find I. (Each side of the cube had a resistance R with current I flowing through it and the entire cube is connected across a potential V0.) | V0/6R |
| 2 | A particle covers 102.5 m in nth sec and 115 m in (n + 2)th sec. Then the acceleration of the particle is x m/s2. Find 4x. | 25 |
| 3 | A rubber ball falls on the floor from height h and bounces back up to height h/2. The percentage loss in energy and velocity of the ball just before striking are respectively: | 50% √(2gh) |
| 4 | A soap bubble has an initial radius of 3.5 cm. Work of 36960 erg is done on it to blow it. Surface tension is 40 dyne/cm. The new radius in cm is? | 7 |
| 5 | A wooden block is initially at rest on a smooth surface. Now a horizontal force is applied on the block which increases linearly with time. The acceleration-time (a - t) graph for the block would be? | A straight line passing through origin |
| 6 | An electron is projected along the axis of the solenoid which carries a constant current i, the trajectory of the electron is? | Uniform motion along the axis |
| 7 | Because of force (separately) of 3 N & 2 N, elongation in spring is found to be 'a' and 'b' unit respectively then (2a - 3b) is? | 0 |
| 8 | Find the equivalent resistance of the given network. (Diagram was provided) | 6 Ω |
| 9 | Five identical convex lenses are placed one after the other in close contact. The power of this arrangement is 25 D. Then, the power of one such lens is? | 5D |
| 10 | For a temperature change of 40° C, the corresponding temperature change in °F is? | 72°F |
| 11 | For an electromagnetic wave, the electric field is given as E = 40î cos(ω( t - z/c))where c is the speed of light and other symbols have their usual meanings. The variation in magnetic field is given as? | B = (40/c)j cos(ω( t - z/c) |
| 12 | Identify the graph correctly representing the photocurrent (i) vs stopping potential (V) for the same frequency but different intensity. Assume I1 > I2. | Image-based answer |
| 13 | If u is the object distance and v is the image distance formed by a convex lens of focal length f. The error in focal length shall be (Error in measuring u and v are Δυ & Δν) | f2 ( Δν/v2 + Δu/u2 ) |
| 14 | In a magnetic field varying with the x-axis as B(x) = (1 + 0.2x)î, a square loop of side 15 cm is placed such that its sides are parallel to x and y axes; and one corner is at (2, 2) as shown. The net force on the loop is (current in the loop is 10 A). | 45 Nm |
| 15 | Instantaneous current in a circuit is i(t) = [ 6 + √54 sin(2πt + π/3 ) ] Α, then RMS value of current is? | 3√7 |
| 16 | On a given rough incline plane, a solid sphere and a hollow cylinder having the same radius are rolled one by one, at the same speed. The ratio of heights attained by the solid sphere and hollow cylinder is? | 7/10 |
| 17 | The circuit in which phase between maximum current Imax and maximum voltage Vmax is π/2? (a) L - circuit (b) R - circuit (c) C - circuit (d) LC - circuit | a, c, d |
| 18 | The correct products of the reaction 235·92U + 10n → are? | 141·56Ba + 9236Kr + 310n |
| 19 | The equation stationary wave is given as y = 2A sin ( (2π/λ) (nt) ) cos ( (2π/λ) (x) ), then which of the following is not correct? | Dimension of n/λ is [T] |
| 20 | The graphical representation of the variation of kinetic energy with radius in case of an electron revolving around the nucleus of an atom is correctly represented by which of the following graphs? | Image-based answer |
| 21 | The resistance of the platinum wire at the ice point and steam point are 22 and 10 Ω respectively. After that wire is dipped in hot bath of temperature 400°C. The resistance of the wire at a temperature of 400°C in Ω is? | 34 |
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JEE Main 2024 April 4 Shift 1 Chemistry Questions with Answers
The memory-based JEE Main 2024 April 4 Shift 1 questions for the Chemistry subject can be checked in the table below.
| Sr.No. | Question | Answer |
| 1 | 50 mL of KMnO4 solution is used for titration with 20 mL of 2M oxalic acid solution in acidic medium. The molarity of KMnO4 solution is x * 10-2 M. The value of x is? | 32 |
| 2 | A solution having a non-volatile solute in water shows an elevation in boiling point of 2°C. Find out te vapour pressure of solution (in mm Hg). Take the Vapour pressure of pure water = 760 mmHg and Kb of water = 0.52 K kg mol-1 | 711 |
| 3 | Arrange the following in the decreasing order of their basic strength: I - OH-, II - H-, III - HCOO-, IV - CH3COO-, V - OR- | II > V > I > IV > III |
| 4 | Calculate the molarity of NaCl solution, if 5.85 g of NaCl is dissolved in 500 mL of solution. | 0.2 M |
| 5 | Consider the following reaction sequence: A ⇌ (k1 and k2) ⇌ B → (k3) → C Overall keff = k1k2/k3 If Ea1 = 300 kJ/mole, Ea2 = 200 kJ/mole, and overall Ea eff = 400 kJ/mole, then find Ea3 in kJ/mole. | 100 kJ/mole |
| 6 | Decreasing order of the field strength of the following ligands will be: CO, CN-, Cl-, H2O | CN- > CO > H2O > Cl- |
| 7 | Find out the wavelength of a photon having a frequency equal to 900 sec-1. | 3.33 x 105 m |
| 8 | From the given data, find the enthalpy of hydrogenation of ethene in kJ/mol. (1) B. E. of C-C = 350 kJ/mol (2) B. E. of C=C = 600 kJ/mol (3) B. E. of H-H = 400 kJ/mol (4) B. E. of C-H = 410 kJ/mol | -170 |
| 9 | From the given sequence of reactions, identify the unknown reagents (A) and (B) respectively. | (A): Alc. NaOH at 80°C (B): HBr, CH3COOH |
| 10 | How many of the following complexes have even number of unpaired 'd' electrons? [V(H2O)6]3+, [Cr(H2O)6]2+, [Fe(H2O)6]3+, [Ni(CH2O)6]3+, [Cu(H2O)6]2+ | 3 |
| 11 | How many of the following compounds are sp3 hybridised CIO3-, CIO2-, NH3, NO2 | 3 |
| 12 | Identify the correct relation between ρ1, ρ2, and ρ3 from the given P vs T graph: | ρ1 > ρ2 > ρ3 |
| 13 | If the emf of the hydrogen electrode at 25°C is zero in pure water, then the pressure of hydrogen in bar is? | 10-14 |
| 14 | If X g ethylamine on reaction with NaNO2 & HCl, produces 2.24 L of N2(g) at NTP, then the value of 2X will be | 9 grams |
| 15 | Out of the given compounds, identify the compound which cannot possible be a major product. | Image-based answer |
| 16 | Statement I: Aldol condensation is caused by the acidity of α hydrogens. Statement II: Cross aldol is not possible between Ph-CHO and CH3-CHO. | Statement I is correct but Statement II is incorrect. |
| 17 | The de-Broglie wavelength of an electron in the 4th orbit of hydrogen atom ______ πao (ao= Bohr Radius) | 8 |
| 18 | The total number of chain isomers possible for a compound with molecular formula C7H16 are: | 9 |
| 19 | Which of the following has the maximum dipole moment? NH3, NF3, PF5, PCl5 | NH3 |
| 20 | Which of the following is the correct order of first ionization enthalpy? | B < Be < O < N < F |
| 21 | Which of the following is the correct structure for L-glucose? | |
| 22 | Which of the following shows one oxidation state other than its elemental state? Ti, Sc, Co, Ni | Sc |
| 23 | Which of the following species have one unpaired electron? CN-, O22-, O2+, NO- | O2+ |
| 24 | Which of the following will not give Lassaigne's test? | Hydrazine |
| 25 | Why NH4Cl is added before NH4OH for the ppt of Fe3+ ions? | To decrease OH- ion concentration |
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JEE Main Mathematics Questions 4 April 2024 with Answers
The memory-based JEE Main Mathematics question paper for the Shift 1 exam of April 4, 2024, can be checked in the table below.
| Sr.No. | Question | Answer |
| 1 | A line L1 has a equation y = x + 2. A square is inscribed in a circle x2 + y2 - 10x - 6y + 30 = 0 such that one side of the square is parallel to L1. Find Σ4i=1 (xi2 + yi2) where (xi, yi) ∀i ∈ (1, 2, 3, 4) are vertices of square. | 152 |
| 2 | f (x) = [ (2x2 + 3x + 8) / (2x2 + 3x + 8)], then the sum of the maximum and minimum value of f (x) is? | 146/55 |
| 3 | f (x) = { ( 1 - cosαx )/x2 ; x < 0 { 2 ; x = 0 { (β (1 - cox )1/2)/x ; x > 0 If f (x) is continuous at x = 0, then find the value of α2 + β2. | 12 |
| 4 | f (x) = { x - 2, 0 ≤ x ≤ 2 { - 2, - 2 ≤ x ≤ 0. If h (x) = f (|x|) + | f (x), then ∫0k h (x) dx = ? (Assume k > 0) | 0 |
| 5 | Find the total number of rational numbers in the expansion of ( 21/5 + 51/3 )15. | 15 |
| 6 | Find -π/2∫π/2 (sin2x) dx/(1 + 2x ). | π/4 |
| 7 | If (z̅)2 + z = 0 and if α is the sum of roots and β is a product of non-zero roots, then find 4(α2 + β2). | 4 |
| 8 | If c is a variable unit vector and c makes an angle of 45° with b and 60° with a, where b = i - k and a = 2i + 2j – k, then | c + 2a – 36 | is? | √19 |
| 9 | If dy/dx = ( 2x2 + 2x + 3 ) / ( x4 + 2x3 + 3x2 + 2x + 2 ) and y (-1) = -π/4, then y (0) = ? | π/4 |
| 10 | If Matrix A = [ ( 1 2 α ), ( 1 0 1 ), ( 0 1 2 ) ] and Det ( Adj ( A - 2AT ) Adj ( 2A - AT ) = 28, then find Det (A)2. | 16 |
| 11 | If the domain of sin-1((3x - 22) / (2x - 19)) + loge((3x2 - 8x +5) / (x2 - 3x -10)) is (α, β], then find 3α + 10β. | 97 |
| 12 | If the length of the focal chord of y2 = 12x is 15 and if the distance of 2 the focal chord from the origin is p then 10p2 is equal to? | 72 |
| 13 | If the system of equations A + √2 sinxB + √2 cosxC = 0, A + sinxB cosxC = 0, A + cosxB + sinxC = 0 has non-trivial solution then the value of x, x ∈ (0, π/2) is? | 5π/24 |
| 14 | In a G.P., T1 = 2, T2 = P, T3 = Q. These are also terms of an A.P. (7th, 8th & 13th term). If the 5th term of G.P. = nth term of A.P., then find n. | 27 |
| 15 | In ΔABC, there are 18 points. On side AB, there are P1, P2, ..., P5. On BC, P6, P7, ..., P11 points. On CA, P12, ..., P18 points. By joining any three points from P1, P2, ..., P18 forms a triangle. How many triangles are possible? | 100 |
| 16 | Numbers -3,4,7, -6, α, β whose mean = 2 and variance = 23. Find mean deviation about the mean. | 13/3 |
| 17 | The coefficient of x7 in ( 1 - x - x2 + x3 )6 is? | -144 |
| 18 | Three urns A, B, and C are given such that Urn A has 7 red and 5 black balls, Urn B has 5 red and 7 black balls, and Urn C has 6 red and 6 black balls. One urn is selected and a black ball is taken out. Find the probability that the selected urn is Urn A. | 5/18 |
Also Check | JEE Main Question Paper 27 January 2024 Shift 1
JEE Main Answer Key Solutions 4 April 2024 Shift 1 by Coaching Institutes
The answer key solutions of the JEE Main 2024 April 4 Shift 1 exam released by different coaching institutes can be checked and downloaded in PDF format here.
| Name of the Coaching Institute | Physics Answer Key Solutions | Mathematics Answer Key Solutions | Chemistry Answer Key Solutions |
| Vedantu | Download PDF | Download PDF | Download PDF |
| Aakash BYJU’s | Download PDF | Download PDF | Download PDF |
| Resonance | Download PDF | Download PDF | Download PDF |
| Reliable Kota | To be Released | To be Released | To be Released |
JEE Main official answer key and response sheet for the Session 2 exam is expected to be released within 2-3 days after the conclusion of the exam. On the other hand, JEE Main result 2024 for Session 2 will be released by or before April 25.
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