JEE Main 22nd Jan Shift 2 Question Paper 2025 (Available): Physics, Chemistry and Mathematics

JEE Main 22nd Jan Shift 2 Question Paper 2025: The JEE Main 2025 Day 2 Shift 2 exam is being conducted today on 22nd January 2025 in the CBT format. Since the exam was conducted online, there is no physical question paper available. Candidates who want to know the memory-based questions can check the Shift 2 JEE Main Question Paper 22 January 2025 here. The memory-based question has been prepared with the help of subject matter experts and candidates who appeared for the exam. 

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JEE Main 22nd Jan Shift 2 Question Paper 2025: Memory Based Questions

Below, the detailed JEE Main Question Paper 22 January 2025 Session 1 has been provided. All the memory-based questions has been provided by the students who attempted the examination and by the experts in providing memory-based questions.

Shift 2 JEE Main Question Paper 22 January 2025: Physics

1. Questions were asked from Ray Optics and Electrostatics chapters.
2. The overall difficulty of the Physics section was moderate.

Questions:

1. An equiconvex lens of focal length f, is cut into four parts as shown in the diagram. The focal length of each part is ____.
2. The radius of a tube decreases from 2R to R in which ideal liquid is flowing at the same level. Speed at one end is 2m/s as shown, find speed v at other end.
3. A proton is moving with uniform velocity of 2 x 10^8 m/s in uniform magnetic and electric fields which are perpendicular to each other. If the electric field is switched off then the proton moves in a circular path of radius 1.6 x 10^-5 m. Then the magnetic field B is ______.
4. the displacement of a particle moving under the action of a force F= 2i + bj + k is d = i + j + k. Find the value of b if the work done by the force is zero.
5. A projectile is fired with the speed of  20m/s at an angle of 60° horizontally. The speed at the highest point of trajectory is x m/s then x is ______.
6. Let a and b be two unit vectors such that the angle between a and b is π/3. If x and y are perpendicular to each other , then the product of all possible values is α is _________.
7. A conducting circular ring is moving with a constant velocity in a uniform magnetic field as shown. Identify the correct graph between induced emf vs time.
8. In a series LCR circuit, the maximum amplitude of current is I0 when the resistance is R. What is the maximum amplitude of current if the resistor is replaced by a resistor of resistance R/2?
9. STATEMENT 1: Fringe width of red light is more than fringe width of violet light.
   STATEMENT 2: Fringe width is directly proportional to the wavelength of light used.
   Choose the correct option.
10. The net magnetic field at point O due to the two infinite current carrying wires shown in the figure is __________.
11. The dimensional formula of capacitance is _____________.
12. A glass slab of refractive index μ 0 = 1.44 is coated with a thin film of refractive index μ f = 2. The minimum thickness of the film so that maximum transmission of green light of wavelength λ= 5000A (incident normally) takes place is _______.
13. Read the following statements and choose the correct option.
    STATEMENT 1: A pendulum is taken from Earth to another planet having mass four times and radius double than the earth.
    STATEMENT 2: The time period of pendulum only depends on the gravity of the planet.
14. For the electric dipole shown in the figure, the electric field and the electric potential are Eq 0 V 0 at a distance r on the axis. Then what is the electric field and the electric potential at a point on the equatorial plane at a distance 2r?
15. For non vibrating diatomic gas has adiabatic constant of λ 1 and for vibrating diatomic gas has adiabatic constant of λ 2 then _____________.
16. Displacement current in a capacitor of area 16 cm 2 is 6 A at an instant. Find displacement current across area 3.2 cm 2

JEE Main Question Paper 22nd January 2025 Session 1: Chemistry

1. The overall difficulty of the Chemistry section was easy to moderate.
2. More questions were asked from Inorganic Chemistry.
3. 2-3 questions were asked from Coordination Compounds.

Questions:

1. Density of 3 M NaOH is 1.25g/ml. Molality of the solution is ___.
2. Among Group-15 elements, what is the maximum covalency of an element having weakest E-E bond (E=element)
3. Arrange according to CFSE: [Co(NH₃)₄]²⁺,[Co(NH₃)₆]³⁺,[Co(NH₃)₆]²⁺, [Co(NH₃)₃]³⁺
4. Compare dipole moment of NF3, CHCl3, H2S, HBr.
5. Which one has two secondary Hydrogen atoms?
   (I) 2, 2, 4, 4-tetramethylheptane
   (II) 2, 2, 3, 4-tetramethylheptane
   (III) 2, 2, 3, 3-tetramethyloctane
   (IV) 3-ethyl-2, 2-dimethylpentane
6. Calculate the radius of first excited state of He⁺ ion (in A°).
7. Which of the following anions will not undergoes disproportionate?
8. Correct structure of L-Glyceraldehyde is _____.
9. 200 ml of 0.2 M solution of NaOH is mixed with 400 ml of 0.5 M NaOH solution. Molarity of mixture is ________.
10. In Ru and Nb, 4d electrons are x and in Nb, 4d electrons are then find the sum of x and y.
11. Ni²⁺+ 2DMG ----->Complex. How many hydrogen bonds are present in a molecule of the complex?
12. Given below are two statements-
    S-I: Lassaigne test is used for detection of Nitrogen, phosphorous, sulphur and Halogens.
    S-II: Lassaigne extract is made with magnesium metal.
13. Consider the following statements Statement-1 and Statement-2 and choose the correct option.
    Statement-1: During corrosion pure metal acts as anode and impure metal acts as cathode.
    Statement-2: Rate of corrosion is more in alkaline medium than in acidic medium.
14. Identify the extensive and intensive property?
    (I) Mass, volume, conductivity - Intensive property
    (II) Mass, temperature, heat, volume - Extensive property
    (III) Mass, volume, internal energy - Extensive property
    (IV) Density, temperature, moles, internal energy - Intensive property
15. What is the relation between K _sp and S of Zr ₃ (PO ₄ ) ₄

Shift 2 JEE Main Question Paper 22 January 2025: Mathematics

1. Questions were asked from Integration chapter.
2. Questions were lengthy in nature.
3. The overall difficulty of the Mathematics section was moderate to difficult.
4. Questions from the AP chapter was lengthy.

Questions:

1. Let P(10, -2, -1) and Q be the point of perpendicular drawn from point R(1, 7, 6) on the line joining the points (2,-5, 11) and (-6, 7, -5). Then the length PQ is    ______.
2. If 2x²+ (cosθ)x-1=0, where θ belongs to [0,2π] has roots α and β. Then the sum of maximum and minimum value of α⁴ + β⁴  is _________.
3. The number of maximum number of common tangents to the curves y = (x - 2) 2 and y 2 = 16 - 8x is ______________.
4. 4 boys and 3 girls are to be seated in a row such that all girls seat together and two particular boys B1 and B2 are not adjacent to each other.Then the number of ways in which this arrangement can be done is __________. 
5. Let A and B are two events such that P(A ∩ B) = 1/10, then P(AUB) P(A∩B) = and P(A/B) and P(B/A) are the roots of the equation 10 is equal to 12x 2 -7x + 1 = 0 then P(Abar U Bbar)/P(Abar ∩ Bbar) = _______________________.
6. Consider two curves E ₁ : x ² /a ² + y ² /b ² = 1 with eccentricity e1 and E ₂ : x ² /A ² + y ² /B ² = 1 with eccentricity e ₂ . If e ₁ /e ₂ = 1/3 and distance between foci of both curves is 2√3 and a - A = 4, then the sum of lengths of latus rectum of both curves is ________________.
7. If A is the 3 x 3 matrix of order 3 x 3, such that det(A) = 1/2, tr(A) = 10 and B be another matrix of order 3 x 3 and defined as B = adj(adj(2A)) then det(B) + tr(B) is equal to (where tr(A) denotes trace of matrix A)    
8. A relation R is defined on set A, A = (1, 2, 3) and R = {(1, 2), (2, 3)). Elements are added such that R becomes reflexive and transitive but not symmetric. Find the number of such relations.    
9. If θ ∈ [0, 2π] satisfying the system of equations 2sin2θ = cos2θ and 2cos2θ = 3cosθ. Then the sum of all real values of θ is ___________.    
10. If z be a complex number such that |z - 3| <= 1, then the equation of line with the largest slope passing through origin and z.
11. In the expansion of (x + √x 3 -1) 5 + (x - √x 3 −1) 5 , where α, β, γ and δ are the coefficients of x x 3 , x 5 and x 7 respectively. If αu – βν = 18 and γu + δv = 20, then u + v is equal to    
12. If the sum ∑ 30 r=0 [ (r 2 ( 30 C r ) 2 ) / ( 30 C r-1 ) = α.2 29 , then find the value of α.    
13. Consider a function f(x) = ∫ 0 x^2 [(t 2 - 8t + 15) / e t ] dt. The number of points of exterma are ______.
14. Number of terms in an arithmetic progression is 2n. Sum of terms occurring at even places is 40 and sum of terms occurring at odd places is 55. If the first term exceeds the last term by 27, then n equals to ________.
15. Let A = {1, 2, 3, 4) and B = {1, 4, 9, 16). If f: A→B, then number of many-one functions from A to B are ______________.
16. Let A(6, 8), B(10 cosα - 10sinα) and C(-10sinα, -10cosα) be 3 points and if orthocenter of the triangle ABC is (0, 9), then 100sin 2 α is equal to ___________.

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JEE Main Session 1 Day 1 Shift 2 Question Paper 2025: Coaching Institutes

The subject-wise memory-based JEE Main Day 1 Shift 2 Unofficial Question Paper 2025 will be updated below soon. Once it is available, students can download the PDF file of each subject-wise paper from various coaching institutes:

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