Shift 2 JEE Main Question Paper 23 January 2025 (Available): Physics, Chemistry and Mathematics

Shift 2 JEE Main Question Paper 23 January 2025: Since the NTA conducted the JEE Main 2025 Shift 2 exam today, January 23, 2025, many candidates must be wondering the questions that appeared for the examination. One must note that the engineering entrance exam has been conducted online, which means there is no physical copy of the question paper. The questions are available from the students who appeared for the test. Therefore, the Shift 2 JEE Main Question Paper 23 January 2025 that has been provided will be memory-based. Candidates must remember this while referring to the PDF. Candidates must also note that since the questions will be memory-based, they might slightly differ compared to the actual questions asked in the test.

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Shift 2 JEE Main Question Paper 23 January 2025: Memory Based Questions

The JEE Main Day 2 Shift 2 Unofficial Question Paper 2025 PDF will be added here. Candidates are advised to check here from time to time to get the memory-based questions. All the questions has been provided by the students who attended the entrance examination.

JEE Main Question Paper 23 January 2025 Session 1: Physics

1. Statement 1: Graph of frequency f of X ray and atomic number Z of heavy nucleus is straight line, in X ray emission.
   Statement 2: Graph of square root of frequency √f of X ray and atomic number Z of heavy nucleus is straight line, in X ray emission.
2. Find total work done from A to E.
3. In a series LCR circuit, L=100mH and C=10nF. The angular frequency of the source when current has maximum number amplitude in the circuit is __________.
4. A satellite is nine times closer to earth compared to moon. Time period of moon is 27 days then period of satellite is ______.
5. The energy in a system varies with position and time as E(x,t) = x ³ e ^-ßt , where ẞ = 0.3 sec ^-1 . Given that the P% error in x = 1.2% and that the % error in t = 1.6%, find the maximum % error in E at t = 5 sec.
6. Two charges +7C and -4C are located at (-7, 0, 0) and (7, 0, 0) find electrostatic potential energy of the system.
7. Two ideal diodes are connected in circuit as shown. Find current through battery.
8. In an electromagnetic wave of frequency 20MHz, value of electric field is 9.3 V/m, then magnitude of magnetic field at that instant is ____________.
9. A particle of mass m is projected at angle 60° with horizontal. If initial kinetic energy is Kε ₀ , and kinetic energy at maximum height is Kε ₀ /x find value of x.
10. A concave mirror of focal length f is dipped into a fluid of refractive index µ. The new focal length of the mirror is ________.
11. Match the correct dimensions
    

    List I	List II
    Magnetic Field	ML2
    Permitivitty of Free Space	M-1L-3T4A2
    Moment of Inertia	MT-2A-1
    Velocity	LT-1

JEE Main Session 1 Day 2 Shift 2 Question Paper 2025: Chemistry

1. Which of the following complex has d⁴ configuration?
2. The correct order of the melting point of 14 group elements is ________.
3. What will be effect on pH of water when it is heated?
4. alpha-helx protein and beta-pleated sheet protein belong from which of the following structure?
5. Which one of the following plots represents zero order reactions?
6. The total number of isomers possible (aldehyde & ketones) for C ₄ H ₈ O are
7. By using relation ΔG= ΔH-T ΔS, which of the following is incorrect for spontaneos reaction at a given temperature?
8. Statement 1: For a particular shell, maximum number of orbitals is n².
9. Statement 2: For d-subshell, number of orientation lies between -I to +I including zero.
10. When a non volatile solute (A) is added to a volatile solvent, the vapour pressure of solvent decreases by 10mm Hg. Mole fraction of solute is 0.2. If 2nd solute (B) is added to the same solution and vapour pressure of solution decreases by 20mm Hg. Calculate mole fraction of 2nnd solute in the final solution.
11. Consider the given following reaction: X ₂ Y(S) __ X ₂ (g) + 1/2 Y ₂ (g). If α is the degree of dissociation, Calculate Kp in terms of P total pressure.
12. Match the following List I with List II
    

    List I	List II
    Bronze	Fe, Cr, and Ni
    Stainless Steel	Cu and Sn
    UK Gold Coin	Cu and Zn
    Brass	Ag, Cu, Zn and Ni

JEE Main January 23 Shift 2 Question Paper 2025 Session 1: Mathematics

1. A square is divided in 4x4 squares. If two squares are chosen randomly then the probability that the squares dont share common sides is _________.
2. There are 5 boys and 4 girls. The sum of the number of ways to sit them such that all the boys sit together and number of ways such that no boys sit together is equal to _______.
3. Consider the terms: 8, 21, 34, 47,....., 320. The variance of the given data set is ____________.
4. A rod of length 8 units having two end points always lie on x - y + 2 = 0 and x + y + 2 = 0. A point P divides this line in ratio 2: 1. Then locus of P is ______.
5. Let f(x) = 6 + 16cos((π/3) - x)cos((π/3) + x)*cosx*sin3x*cos6x if range of f(x) is [α, β], then distance of (α, β) from 3x + 4y + 12 = 0 is _________.
6. Let M(1/2,1) be the mid point of the chord to the ellipse x²/2 + y²/4=1, then the length of the chord is ______.
7. If the square of the shortest distance between the lines (x - 2)/1 = (y - 1)/2 = (2 + 3)/-3 and (x + 1)/2 = (y + 3)/4 = (2 + 5)-5 is m/n (where m and n are coprime number) then m + m = __________.
8. A = {(x, y)| |x + y ≥ 3}; B = {(x, y)| |x + y ≤3}; Let C = A ∩ B. Find the sum of x + y ∀ x, y ε C.
9. If system of linear equations, x + y + z = 6, x + 2y + 5z = 9, x + 5y + λz = μ has no solutions, then value of λ equals to ________.

Shift 2 JEE Main Question Paper 23 January 2025 by Coaching Institutes

Many coaching institutions will prepare the Shift 2 JEE Main Question Paper 23 January 2025. Students who want to get the JEE Main Session 1 January 23 Question Paper 2025 from institutions like Aakash, Vedantu, and many more can check below:

Candidates must note that the NTA will release the JEE Main Question Paper 23rd January 2025 Session 1 soon. Till then, students must refer to the unofficial question paper provided here for reference.

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