JEE Main Question Paper 29 Jan 2024 Shift 1 (Available): Memory-based questions PDF download for all subjects

JEE Main Question Paper 29 Jan 2024 Shift 1: The Day 2 Shift 1 of JEE Main B.Tech Paper 1 Session 1 exam was held today, January 29, from 9 AM to 12 PM. As per the first reviews by the students, the overall paper was moderate. Physics and Chemistry were easy while Maths was tough and lengthy. JEE Main Shift 1 Analysis 29 January 2024 provides the complete details on the paper's review such as the difficulty level, topics asked, good attempts, and more, while the complete question paper will be provided here.

Since this is an online computer-based exam, only the memory-based questions can be collected and the same will be updated here. For practice, the candidates of the upcoming exam days can find the subject-wise questions in a PDF format here. Several coaching institutes will also publish the JEE Main question paper for today, which will also be added here so that maximum questions from the shift are covered.

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JEE Main Question Paper 29 January 2024 Shift 1: Subject-wise

The subject-wise Shift 1 question paper of JEE Mains 2024 29 January Shift 1 can be checked here. These are memory-based questions collected from the test takers, and there is a possibility for minor errors. For answers to these questions, check - JEE Main 2024 Answer Key January 29 .

JEE Main Physics Question Paper 29 Jan 2024 Shift 1

The memory-based questions for JEE Main 29 Jan 2024 Shift 1 Physics subject will be updated here:

1. A body of mass 100 kg travelled 10 m before coming to rest. If μ = 0.4, then find the work done against friction. Assume that the motion is happening on a horizontal surface and g = 10 m/s ² .
2. If an object has the same weight at the same distance above and below the surface of the earth. Find its distance from the surface of the earth.
3. A solid sphere of radius 4a units is placed with its centre at the origin. Two charges -2q at (-5a, 0) and 5q at (3a, 0) are placed. If the flux through the sphere is xq/ε ₀ , then find x.
4. Consider the two statements (Assume the density of water to be constant):
   Statement 1: A capillary tube is first dipped in hot water and then dipped in cold water. The rise is higher in hot water.
   Statement 2: The capillary tube is first dipped in cold water and then in hot water. The rise is higher in cold water.
   i. Statement 1 is true and Statement 2 is false.
   ii. Statement 1 is false, and Statement 2 is true.
   iii. Both statements are true.
   iv. Both statements are false.
5. A stationary hydrogen atom deexcites from the first excited state to the ground state. Find the recoil speed of the hydrogen atom up to the nearest integer value. (Take mass of hydrogen atom = 1.8 x 10 ^-27 *kg)
6. If a particle starting from rest having constant acceleration covers distance S ₁ in the first (P - 1) seconds & S ₂ in the first P seconds, then determine the time for which displacement is S ₁ + S ₂ .
7. If the ratio of the centripetal acceleration of two particles moving on the same circular path is 3: 4, then find the ratio of their speed.
8. If the De-Broglie wavelength of a proton and an electron is the same, then find the ratio of the kinetic energy of the electron to that of the proton.
9. A capacitor having a capacitance of 100µF is charged with a potential difference of 12 V and is connected to an inductor of inductance 10 mH. Find the maximum current through the inductor.
10. A gas undergoes a cyclic process ABCA as shown in the P vs V graph. (The points correspond to A: P _A = 900 N/m ² , V _A = 3 m ³ , B: P _B = 300 N/m ² , V _B = 7 m ³ , and C: P _C = 300 N/m ² , V _C = 3 m ³ ). Find the work done by the gas from A → B → C.
11. If an electric current passing through a conductor varies with time as / = I ₀ + βt, where l ₀ = 20 A and β = 3 A/s, then find the charge flow through the conductor in the first 10 seconds.
12. A square loop of resistance 16 Ω is connected with a battery of 9 V and an internal resistance of 1 2 Ω in a steady state. Find the energy stored in the capacitor of capacity C = 4 µF as per its position shown in the diagram. (The capacitor is connected diagonally in a separate loop attached to the circuit.)
13. If a biconvex lens of a material of refractive index 1.5 has a focal length of 20 cm in the air, then what will be its focal length when it is submerged in a medium of refractive index 1.6?
14. In a container, 1 g of hydrogen and 1 g of oxygen are taken. Find the ratio of hydrogen pressure to oxygen pressure inside the container.
15. The potential energy function corresponding to conservative force is given as U(x, y, z) = 3x ² /2 + 5y + 6z, then the force at x = 6 is pN. The value of p. (Round off to the nearest integer.)
16. A series of steps has 0.5 m tread and 0.5 m riser. If a ball is thrown from a point on the ground beside the first step, then find the minimum speed required by the ball to directly jump to the 5th step.
17. An electron is moving with the speed of 1 m/s at a distance of 1 m, from a large sheet of charge with density σ C/m ² . Find the maximum value of σ such that the electron hits the sheet after 1 sec. Take the mass of electron = 9 × 10 ^-31 kg and the permittivity of free space = 9 x 10 ^-12 C ² /Nm ² .
18. In a convex mirror having a radius of curvature of 30 cm, the height of the image is half of the height of the object. What will be the distance of the object from the mirror in cm?
19. In a given voltage regulator circuit, the reverse breakdown voltage of the Zener diode is 3V. Find the current through the Zener diode. (Circuit diagram was given.)
20. In a given circuit, the galvanometer resistance is 10Ω and the current through the galvanometer is 3 mA. Find the resistance of the shunt. (Circuit diagram was given.)
21. If a particle is executing simple harmonic motion along the x-axis with amplitude A about the origin, then the ratio of the Kinetic energy and total energy at x = A/3 is?
22. The voltage and resistance for a resistor are measured as V = 200 ± 5V & R = 20 ± 0.2 Ω. Find the percentage error in the current I = V/R.
23. A solid cylinder is placed gently over an inclined plane of inclination 60°. The acceleration of the cylinder when it starts rolling without slipping is g/√x where μ is the coefficient of friction. [take g = 10m/s ² ]

JEE Main Chemistry Question Paper 29 Jan 2024 Shift 1

The memory-based questions for JEE Main 29 Jan 2024 Shift 1 Chemistry subject will be updated here:

1. Which of the following pairs will be formed by the decomposition of KMnO ₄ ?
   i. MnO ₄ ^- , MnO ₂
   ii. K ₂ MnO ₄ , MnO ₂
   iii. KMnO ₄ , MnO ₂
   iv. MnO ₂ , H ₂ O
2. Calculate the Molarity of a solution having a density of 1.5 g/ml, percentage of (w/w) of solute as 36%, and molecular weight of solute 36 g/mol.
3. Determine products A and B when toluene reacts with Cl2 in the presence of sunlight (Product A) and in the presence of CCl4 (Product B).
4. Determine the major product for a given reaction.
5. What is the energy difference between the actual structure and its most stable resonating structure having the least energy is called as?
6. Which of the following coordination compounds has a bridging carbonyl ligand?
   i. [Mn ₂ (CO) ₁₀ ]
   ii. [CO ₂ (CO) ₈ ]
   iii. [Cr(CO) ₆ ]
   iv. [Fe(CO) ₅ ]
7. If alkaline KMnO4 is oxidised iodide to give a particular product (A), then determine the oxidation state of iodine in the compound (A).
8. Which of the following statements is incorrect?
   i. ΔG = 0 for reversible reaction
   ii. ΔG < 0 for spontaneous process
   iii. ΔG > 0 for spontaneous process
   iv. ΔG < 0 for non-spontaneous process
9. Assume K _net =(K ₁ *K ₂ )/K ₃
   When Ea ₁ = 40 kJ/mol, Ea ₂ = 50 kJ/mol and Ea ₃ = 60 kJ/mol, calculate the value of (Ea) _net in kJ/mol.
10. Which of the following compounds yield a positive Fehling solution test?
11. What is the effect that occurs between a lone pair and a pi bond?
    i. Inductive effect
    ii. Electromertic effect
    iii. Resonance effect
    iv. Hyperconjugation
12. Statement 1: Electronegativity of group 14 elements decreases from Si to Pb.
    Statement 2: Group 14 has metals, metalloids and non-metals.
    i. Both statements 1 and 2 are correct.
    ii. Both statements 1 and 2 are incorrect.
    iii. Statement 1 is correct and statement 2 is incorrect.
    iv. Statement 1 is incorrect and statement 2 is correct.
13. Hydrolysis of protein gives which type of amino acids?
    i. α - Amino acids
    ii. β - Amino acids
    iii. γ - Amino acids
    iv. δ - Amino acids
14. How many of the following compounds have one lone pair of electrons in the central atom?
    CIF ₃ , XeO ₃ , BrF ₅ , XeF ₄ , O ₃ , NH ₃
15. How many of the following species have bond order 1 and are paramagnetic as well?
    He ₂ ²⁺ , O ₂ ^2- , Ne ₂ ²⁺ , F ₂ , B ₂ , H ₂ , O ₂ ²⁺
16. Match the following:
    Column I: i. Fluorspar, ii. Cryolite, iii. Bauxite, iv. Dolomite
    Column II: i. Al ₂ O ₃ .H ₂ O, ii. CaF ₂ , iii. MgCO ₃ .CaCO ₃ , iv. Na ₃ [AlF ₆ ]
17. Match the following:
    Column I: i. Vitamin B12, ii. Wilkinson's Catalyst, iii. Ziegler-Natta Catalyst, iv. Haemoglobin
    Column II: i. Ti, ii. Co, iii. Fe, iv. Rh
18. The presence of which element(s) is confirmed by the appearance of blood red color with FeCl ₃ in Lassaigne's Test?
19. Statement 1: lonization energy decreases along a period.
    Statement 2: In a period, Z dominates over the screening effect.
    i. Both statements 1 and 2 are correct.
    ii. Both statements 1 and 2 are incorrect.
    iii. Statement 1 is correct and statement 2 is incorrect.
    iv. Statement 1 is incorrect and statement 2 is correct.
20. For Rb (37), which of the following set of quantum numbers is correct for the valence electron?
    i. 5, 0, 0, +1/2
    ii. 5, 0, 1, -1/2
    iii. 5, 0, 1, +1/2
    iv. 5, 1, 1, +1/2
21. x Cl ₂ + y OH ^- → z Cl ^- + p ClO ^-
    Balance the equation and find the values of x, y, z, and p.
22. K _p for the following reaction is 36 x 10 ^-2 atm ^-1
    2NO ₂ (g) ⇌ N2O4 (g)
    Find out Kc (M ^-1 ). Take R = 0.0821 l atm/(mol K) and T = 300 K.

JEE Main Mathematics Question Paper 29 Jan 2024 Shift 1

The memory-based questions for JEE Main 29 Jan 2024 Shift 1 Maths subject will be updated here:

1. If a die is rolled until 2 is obtained, then what is the probability that 2 is obtained on an even-numbered toss?
2. A GP has 64 terms such that (S _n ) _total = 7(S _n ) _odd . Find the common ratio r.
3. What is the rank of the word GTWENTY in the dictionary?
4. (C ₁ ¹¹ /2) + (C ₂ ¹¹ /3) + ... + (C ₉ ¹¹ /10) = m/n. Find m + n.
5. If 4cosθ + 5sinθ = 1, then find the number of all positive values of tanθ where θ ∈ (-π/2, π/2).
6. If the given data 60, 60, 44, 58, 68, α, β, 56 has a mean of 58 and a variance of 66.2, then find α ² + β ² .
7. If | z + 1 | = αz + β ( i + 1 ) and z = (1/2) - 2i, then find α + β.
8. In an increasing arithmetic progression a ₁ , a ₂ ,..., a _n if a ₆ = 2 and the product of a ₁ , a ₅ and a ₄ is greatest, then the value of d is equal to?
9. If relation R : (a, b) R (c, d) is only if ad - bc is divisible by 5, (a, b, c, d ∈ Z) then R is:
   i. Reflexive
   ii. Symmetric, Reflexive but not Transitive
   iii. Reflexive, Transitive but not Symmetric
   iv. Equivalence Relation
10. Find the area under the curve x ² + y ² = 169 and below the line 5x - y = 13.
11. a, b, c are non-zero vectors and b and c are non-collinear vectors. a +5b is collinear with c and b +6c is collinear with a. If a + αb + βc = 0, then α + β = ?

JEE Main Question Paper 29 Jan 2024 Shift 1 PDF Download

Download the JEE Main 2024 question paper PDF by CollegeDekho for 29 Jan Shift 1 here:

Also check | JEE Main Question Paper 2024 Session 1 (All Days & Shifts)

JEE Main Question Paper PDF 29 Jan 2024 Shift 1 by Coaching Institutes

The subject-wise memory-based questions by the top coaching institutes of JEE Main for Day 2 Shift 1 will be added as and when available: