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Updated 19 Oct 2026

JEE Main 2025, 29 Jan Shift 2 question paper with solutions

JEE Main 2025, 29 Jan Shift 2 was held on 29 January 2025. The bank holds 67 of its questions (Physics 22, Chemistry 24, Mathematics 21). A sample with answer keys and worked solutions is below, or sit the complete shift paper in the official NTA CBT interface (180 minutes, 300 marks, +4 / −1). Real PYQ papers are never filtered by your covered syllabus.

Sit this paper in the exam screenAll JEE Main 2025 shiftsMarks vs percentile table
2025 Exam session year
300 Maximum marks (+4 / −1)
180 min Official duration
67 Questions in bank for this shift

Try questions from JEE Main 2025, 29 Jan Shift 2

Q1PhysicsJEE Main 2025, 29 Jan Shift 2Photoelectric effect and Einstein's photoelectric equation
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In an experiment with photoelectric effect, the stopping potential.
Answer key (C) & worked solution

Correct answer: Option C

Q2PhysicsJEE Main 2025, 29 Jan Shift 2Introduction to heat transfer
The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have
Alow thermal conductivity and low electrical conductivity
Bhigh thermal conductivity and high electrical conductivity
Clow thermal conductivity and high electrical conductivity
Dhigh thermal conductivity and low electrical conductivity
Answer key (C) & worked solution

Correct answer: Option C

See-back effect Low thermal conductivity High electrical conductivity
Q3ChemistryJEE Main 2025, 29 Jan Shift 2Amino Acids
Identify the essential amino acids from below : (A) Valine (B) Proline (C) Lysine (D) Threonine (E) Tyrosine Choose the correct answer from the options given below :
A(A), (C) and (D) only
B(A), (C) and (E) only
C(B), (C) and (E) only
D(C), (D) and (E) only
Answer key (A) & worked solution

Correct answer: Option A

Valine, Lysine and Threonine are essential amino acids.
Q4ChemistryJEE Main 2025, 29 Jan Shift 2Differential and Integral Forms of Rate Law
Drug X becomes ineffective after 50% decomposition. The original concentration of drug in a bottle was 16 mg/mL which becomes 4 mg/mL in 12 months. The expiry time of the drug in months is _____. Assume that the decomposition of the drug follows first order kinetics.
A12
B2
C3
D6
Answer key (D) & worked solution

Correct answer: Option D

C = 16 mg/mLC = 4 mg/mLt = 12 monthsUsing the first-order kinetics equation: ln(C) = ln(C) - ktln(4) = ln(16) - k(12) k(12) = ln(16) - ln(4) = ln(16/4) = ln(4) k = ln(4)/12 ≈ 0.2888 months-1 t1/2 = 0.693/k

t1/2 = 0.693 / (ln(4)/12) = (0.693 * 12) / ln(4) ≈ 6 months
Q5MathematicsJEE Main 2025, 29 Jan Shift 2Equation of lines in 3D and vector form
Let a straight line L pass through the point P(2,–1,3) and be perpendicular to the lines . If the line L intersects the yz-plane at the point Q, then the distance between the points P and Q is :
A2
B
C3
D
Answer key (C) & worked solution

Correct answer: Option C

Vector parallel to ‘L’ \left| {\begin{array}{*{20}{c}} {\hat i}&{\hat j}&{\hat k} \\ 2&1&{ - 2} \\ 1&3&4 \end{array}} \right| = 10\hat i - 10\hat j + 5\hat k Equation of ‘L’ Let Q(2λ + 2, –2λ – 1, λ + 3) ⇒ 2λ + 2 = 0 ⇒ λ = –1 ⇒ Q (0, 1, 2) d(P, Q) = 3
Q6MathematicsJEE Main 2025, 29 Jan Shift 2Differentiability at a point
Let the function f(x) = (x – 1)|x – ax + 2| + cos|x| be not differentiable at the two points x = α = 2 and x = β. Then the distance of the point (α,β) from the line 12x + 5y + 10 = 0 is equal to :
A3
B4
C2
D5
Answer key (A) & worked solution

Correct answer: Option A

cos|x| is always differentiable ∴ we have to check only for |x – ax + 2| ∴ Not differentiable at x – ax + 2 = 0 One root is given, α = 2 ∴ 4 – 2a + 2 = 0 a = 3 ∴ other root β = 1 but for x = 1 f(x) is differentiable (Drop)