A right-angled prism of refractive index $1.5$ is in air. A...

The critical angle satisfies $\sin C = \dfrac{1}{n} = \dfrac{1}{1.5}...

refraction out of the hypotenuse

In a double-slit experiment with $\lambda = 600\,$nm, $d =...

The extra optical path introduced is $(n-1)t = 0.5 \times...

Light of wavelength $500\,$nm falls normally on a grating...

Grating spacing $d = \dfrac{1\;\text{cm}}{5000} = 2\times10^{-4}\,$cm...

Unpolarised light of intensity $I_0$ passes through two...

The first polariser halves unpolarised light regardless of...

An astronomical telescope has objective focal length...

For normal adjustment the final image is at infinity, so the...

A telescope objective of diameter $10\,$cm is used with...

By the Rayleigh criterion, $\theta_{min} = \dfrac{1.22\lambda}{D}$.$=...

Charges $+4\,\mu$C and $-4\,\mu$C sit $6\,$cm apart. The...

Each charge is $3\,$cm from the midpoint.$E_1 = \dfrac{kq}{r^2} =...

How many questions are in the JEE Main mock test 13 - full NTA pattern paper?

It has 75 questions and a time limit of 180 minutes.

Is the JEE Main mock test 13 - full NTA pattern paper free?

It costs Rs 2,000 for the whole series, which includes full worked solutions and a detailed score report.

Yes. After you submit, every question shows a step-by-step solution alongside your answer.

JEE Main Mock Test 13 | 75 Questions, 300 Marks

Q: Is there negative marking?

Yes. Each correct answer scores 4 and each wrong answer loses 1.

About this test

JEE Main mock test 13 - full NTA pattern paper is a full 75-question paper you attempt online in 180 minutes. It follows the Joint Entrance Examination Main pattern, so the timing, the question style and the marking match the real exam. Each correct answer scores 4 and each wrong answer loses 1. Guessing carries a real cost, exactly as it does on the day.

You get your score the moment you submit, question by question, with a step-by-step solution to every problem. NTA pattern, three subjects, negative marking.

What it covers

Optics - refraction through a slab Optics - mirror with magnification Optics - critical angle and prism Optics - lens maker with two radii Optics - Young double slit shift Optics - diffraction grating Optics - Malus law two polarisers Optics - telescope magnification Optics - resolving power calculation Electrostatics - field at a point from two charges Capacitance - dielectric partially inserted Current - galvanometer conversion Magnetism - torque on a current loop EMI - energy stored in an inductor AC - power in an LCR circuit Modern physics - photoelectric with two metals Atomic - Rydberg calculation Nuclear - activity and decay constant Semiconductors - zener regulator Errors - combined measurement Optics - combination of lenses Optics - interference fringe count Electrostatics - capacitor network Magnetism - cyclotron frequency Modern physics - de Broglie of a proton Solid state - packing efficiency Solid state - density from unit cell Ionic equilibrium - buffer pH Electrochemistry - Nernst equation Kinetics - first order half life Thermodynamics - spontaneity crossover Solutions - depression of freezing point Atomic structure - de Broglie wavelength Equilibrium - degree of dissociation Surface chemistry - Freundlich isotherm Coordination - crystal field and magnetic moment Organic - stereoisomer count Organic - elimination and Saytzeff rule Organic - carbonyl reactivity order Polymers - degree of polymerisation Inorganic - group 15 hydride stability Redox - permanganate oxalate stoichiometry Biomolecules - sucrose hydrolysis Organic - nitration product yield Stoichiometry - limiting reagent Electrochemistry - Faraday electrolysis Kinetics - Arrhenius activation energy Ionic equilibrium - solubility product Thermodynamics - average bond enthalpy Atomic structure - Balmer transition Hyperbola - conjugate axis from focal data Ellipse - condition for tangency Inverse trigonometry - sum of arctangents Definite integration - area between curves Differential equations - linear first order Probability - Bayes theorem Matrices - determinant of the adjoint Complex numbers - circular locus Sequences - arithmetico-geometric series Vectors - scalar triple product Limits - indeterminate exponential form Differentiation - maxima on a closed interval Binomial theorem - term independent of x Straight lines - image of a point Statistics - variance under linear transformation 3D geometry - distance from a point to a plane Quadratic equations - common root Trigonometry - number of solutions Functions - domain of a composite Mathematical reasoning - contrapositive Definite integration - reflection property Probability - binomial distribution Sequences - sum of an arithmetic progression Vectors - projection of one vector on another Matrices - eigenvalue of a symmetric matrix

Sections

Physics - Section A — 20 questions
Physics - Section B — 5 questions
Chemistry - Section A — 20 questions
Chemistry - Section B — 5 questions
Mathematics - Section A — 20 questions
Mathematics - Section B — 5 questions

Difficulty spread

75 hard questions

Before you start

Pattern. 75 questions, 300 marks, 180 minutes. Each of Physics, Chemistry and Mathematics has 20 multiple-choice questions (Section A) and 5 numerical-answer questions (Section B), for 100 marks per subject.

Marking. +4 for a correct answer, −1 for an incorrect answer, 0 if unattempted. Negative marking applies to Section B as well — numerical questions are not risk-free, and this is where unit and sign errors concentrate.

Section B is compulsory. All 5 numerical questions in each subject must be attempted. The “any 5 of 10” arrangement ended with the COVID-era papers.

Before you start. Phone in another room, single screen, no reference material. Sit the full 180 minutes in one session — a paper taken in pieces measures nothing.

A look at the questions

Q1. A ray strikes a glass slab ($n = 1.5$) of thickness $6\,$cm at an angle of incidence $60^\circ$. The lateral displacement of the emergent ray is closest to:

A) $2.1\;$cm

B) $3.1\;$cm

C) $3.5\;$cm

D) $4.2\;$cm

Q2. A concave mirror of focal length $15\,$cm produces a real image three times the size of the object. The object distance is:

A) $10\;$cm

B) $20\;$cm

C) $30\;$cm

D) $45\;$cm

73 more questions in the full paper, each with a worked solution.

Questions people ask

How many questions and how long?

75 questions in 180 minutes for 300 marks - 20 multiple-choice and 5 numerical in each of Physics, Chemistry and Mathematics.

Is there negative marking on the numerical questions?

Yes. +4 correct, -1 incorrect, 0 unattempted, and that applies to Section B as well as Section A.

What does this paper focus on?

Optics, coordination compounds and probability emphasis.

JEE Main mock test 13 - full NTA pattern paper