Paper 2

JEE Advanced 2026 — Mock Test 1 (Paper 2)

JEE Advanced 2026 Mock Series

3 hDuration

102Total Marks

33Questions

9Sections

Companion Paper 2 to Mock Test 1, 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

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

Paper Structure

Physics

Section A — Single Correct (4 questions, +3 / -1)

Exactly one option is correct.

Q1. mcq single +3 / -1

A block of mass $2\,\mathrm{kg}$ slides down a frictionless incline of angle $30^\circ$. The acceleration of the block (in $\mathrm{m/s^2}$, $g=10\,\mathrm{m/s^2}$) is:

Q2. mcq single +3 / -1

The work done by a force $\vec{F} = 3\hat{i} + 4\hat{j}$ N in moving a particle from origin to $(3,4)$ m is:

Q3. mcq single +3 / -1

A converging lens of focal length $20\,\mathrm{cm}$ forms a real image at $30\,\mathrm{cm}$. The object distance is:

Q4. mcq single +3 / -1

The half-life of a radioactive substance is $10$ years. The fraction remaining after $30$ years is:

Section B — 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

A projectile is launched at angle $\theta$ with initial speed $u$. Which are TRUE (neglect air resistance)?

Q6. mcq multi +4 / -2

For a current-carrying solenoid:

Q7. mcq multi +4 / -2

In the photoelectric effect:

Section C — Numerical Answer (4 questions, +3 / 0)

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

Q8. numerical +3 / 0

A spring of force constant $200\,\mathrm{N/m}$ is compressed by $0.1\,\mathrm{m}$. Find the stored elastic PE in joules.

Q9. numerical +3 / 0

Two resistors $6\,\Omega$ and $3\,\Omega$ are connected in parallel. Find the equivalent resistance in ohms.

Q10. numerical +3 / 0

A simple pendulum has length $1\,\mathrm{m}$. Take $g=\pi^2\,\mathrm{m/s^2}$. Find its time period in seconds.

Q11. numerical +3 / 0

A 5 kg block experiences kinetic friction $\mu_k = 0.2$ on horizontal ground. Take $g=10\,\mathrm{m/s^2}$. Find the friction force in newtons.

Chemistry

Section A — Single Correct (4 questions, +3 / -1)

Exactly one option is correct.

Q12. mcq single +3 / -1

The IUPAC name of $\mathrm{(CH_3)_2 CHCH_2 OH}$ is:

Q13. mcq single +3 / -1

The number of d-electrons in $\mathrm{Cr^{3+}}$ ($Z=24$) is:

Q14. mcq single +3 / -1

Among $\mathrm{HF}$, $\mathrm{HCl}$, $\mathrm{HBr}$, $\mathrm{HI}$ — the strongest acid in aqueous solution is:

Q15. mcq single +3 / -1

For the reaction $\mathrm{N_2 + 3H_2 \rightleftharpoons 2NH_3}$, increasing pressure at constant temperature shifts the equilibrium:

Section B — 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 of the following are correct for benzene?

Q17. mcq multi +4 / -2

Which species have zero dipole moment?

Q18. mcq multi +4 / -2

For a first-order reaction:

Section C — Numerical Answer (4 questions, +3 / 0)

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

Q19. numerical +3 / 0

Find the molarity of a solution containing $4\,\mathrm{g}$ of NaOH (M=40) in 500 mL of solution.

Q20. numerical +3 / 0

Number of $\sigma$ bonds in ethyne ($\mathrm{C_2 H_2}$).

Q21. numerical +3 / 0

The vapour density of a gas is $32$. Find its molar mass in g/mol.

Q22. numerical +3 / 0

Volume (in litres) occupied by 0.5 mol of an ideal gas at STP.

Mathematics

Section A — Single Correct (4 questions, +3 / -1)

Exactly one option is correct.

Q23. mcq single +3 / -1

The value of $\displaystyle\int_0^1 x^2\, dx$ is:

Q24. mcq single +3 / -1

The eccentricity of the ellipse $\dfrac{x^2}{25} + \dfrac{y^2}{16} = 1$ is:

Q25. mcq single +3 / -1

If $z = 1 + i$, then $|z|^4$ equals:

Q26. mcq single +3 / -1

The probability of getting at least one head in 3 tosses of a fair coin is:

Section B — 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 $f(x) = e^x \sin x$. Which are TRUE?

Q28. mcq multi +4 / -2

Consider the lines $L_1: x = y = z$ and $L_2: x+1 = y = z-2$. Which are TRUE?

Q29. mcq multi +4 / -2

For $\vec{a} = \hat{i} + \hat{j}$ and $\vec{b} = \hat{j} + \hat{k}$, which are TRUE?

Section C — Numerical Answer (4 questions, +3 / 0)

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

Q30. numerical +3 / 0

If $\tan\theta = \dfrac{3}{4}$ and $\theta$ is acute, find $10\sin\theta$.

Q31. numerical +3 / 0

The number of ways to arrange the letters of the word "LEVEL".

Q32. numerical +3 / 0

Find $\displaystyle\lim_{x \to 0} \dfrac{1 - \cos x}{x^2}$ (give answer to 2 decimal places).

Q33. numerical +3 / 0

If the roots of $x^2 - 5x + 6 = 0$ are $\alpha, \beta$, find $\alpha^2 + \beta^2$.