Paper 1

JEE Advanced 2026 โ€” Mock Test 2 (Paper 1)

JEE Advanced 2026 Mock Series

3 hDuration
102Total Marks
33Questions
9Sections
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Second full-length mock paper modelled on the JEE Advanced 2026 pattern. Three subjects, three sections each, mixing single-correct, multi-correct (with partial marks), and numerical-answer questions.

Instructions

1. The paper has 3 sections per subject. 2. Section A: 4 single-correct MCQs (+3 / 0 / -1). 3. Section B: 3 multi-correct MCQs (+4 / partial / -2). 4. Section C: 4 numerical-answer questions (+3 / 0 / 0). 5. Use of calculator and scratch paper is permitted.

Paper Structure

Physics

Section A โ€” Single Correct (4 questions, +3 / -1)

Exactly one option is correct.

Q1. mcq single +3 / -1
A body executes uniform circular motion of radius $r$ with speed $v$. The centripetal acceleration is:
Q2. mcq single +3 / -1
The dimensional formula of Planck's constant is:
Q3. mcq single +3 / -1
A heat engine operates between $T_1 = 600\,\mathrm{K}$ and $T_2 = 300\,\mathrm{K}$. The maximum efficiency is:
Q4. mcq single +3 / -1
A wire carrying current $I$ is placed in a magnetic field $B$ perpendicular to it. Force per unit length is:

Section B โ€” Multi Correct (3 questions, +4 / partial / -2)

One or more options may be correct. Partial credit only when all marked options are correct and at least one correct option is unmarked.

Q5. mcq multi +4 / -2
For a satellite in circular orbit around Earth:
Q6. mcq multi +4 / -2
Concerning a series RLC circuit driven at resonance:
Q7. mcq multi +4 / -2
Which of the following statements about black-body radiation are TRUE?

Section C โ€” Numerical Answer (4 questions, +3 / 0)

Answer is a numerical value. Round to two decimal places where applicable.

Q8. numerical +3 / 0
A body of mass $5\,\mathrm{kg}$ is acted on by a $20\,\mathrm{N}$ net force. Find its acceleration in $\mathrm{m/s^2}$.
Q9. numerical +3 / 0
A 60 W bulb is run for 5 hours. Find the energy consumed in kWh.
Q10. numerical +3 / 0
A wave has frequency $50\,\mathrm{Hz}$ and wavelength $4\,\mathrm{m}$. Find its speed in m/s.
Q11. numerical +3 / 0
Object placed at $30\,\mathrm{cm}$ before a concave mirror of focal length $10\,\mathrm{cm}$. Find the magnitude of magnification.
Chemistry

Section A โ€” Single Correct (4 questions, +3 / -1)

Exactly one option is correct.

Q12. mcq single +3 / -1
The shape of $\mathrm{NH_3}$ molecule is:
Q13. mcq single +3 / -1
Which has the highest lattice energy?
Q14. mcq single +3 / -1
The product of acid-catalysed hydration of propene (Markovnikov) is:
Q15. mcq single +3 / -1
The oxidation state of Mn in $\mathrm{KMnO_4}$ is:

Section B โ€” Multi Correct (3 questions, +4 / partial / -2)

One or more options may be correct. Partial credit only when all marked options are correct and at least one correct option is unmarked.

Q16. mcq multi +4 / -2
Which compounds show hydrogen bonding?
Q17. mcq multi +4 / -2
For an exothermic equilibrium $A \rightleftharpoons B$, raising temperature:
Q18. mcq multi +4 / -2
Which of the following are colligative properties?

Section C โ€” Numerical Answer (4 questions, +3 / 0)

Answer is a numerical value. Round to two decimal places where applicable.

Q19. numerical +3 / 0
The pH of $0.001\,\mathrm{M}$ NaOH solution.
Q20. numerical +3 / 0
Number of atoms in 1 mol of $\mathrm{H_2 SO_4}$ (give answer in $\times 10^{23}$, i.e. divide by Avogadro's number).
Q21. numerical +3 / 0
The number of geometrical isomers of $[\mathrm{Co(NH_3)_4 Cl_2}]^+$.
Q22. numerical +3 / 0
Mass percent of nitrogen in urea $\mathrm{(NH_2)_2 CO}$ (M=60). Give answer to nearest integer.
Mathematics

Section A โ€” Single Correct (4 questions, +3 / -1)

Exactly one option is correct.

Q23. mcq single +3 / -1
The sum of the infinite GP $1 + \dfrac{1}{2} + \dfrac{1}{4} + \cdots$ is:
Q24. mcq single +3 / -1
If $\sin x + \cos x = 1$, then $\sin 2x$ equals:
Q25. mcq single +3 / -1
The slope of tangent to $y = x^3 - 3x$ at $x = 2$ is:
Q26. mcq single +3 / -1
Number of ways to choose 3 students out of 8 is:

Section B โ€” Multi Correct (3 questions, +4 / partial / -2)

One or more options may be correct. Partial credit only when all marked options are correct and at least one correct option is unmarked.

Q27. mcq multi +4 / -2
Let $f(x) = \ln x$ on $(0, \infty)$. Which are TRUE?
Q28. mcq multi +4 / -2
If $A$ and $B$ are independent events with $P(A)=0.4$, $P(B)=0.5$, which are TRUE?
Q29. mcq multi +4 / -2
For the parabola $y^2 = 4x$:

Section C โ€” Numerical Answer (4 questions, +3 / 0)

Answer is a numerical value. Round to two decimal places where applicable.

Q30. numerical +3 / 0
Find $\dbinom{7}{3}$.
Q31. numerical +3 / 0
If $f(x) = x^2 + 2x$, find $f'(3)$.
Q32. numerical +3 / 0
The area enclosed by $y = x$, $y = 0$, and $x = 4$ (in square units).
Q33. numerical +3 / 0
Number of real roots of $x^4 - 5x^2 + 4 = 0$.