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Mock Tests eBooks About
JEE Advanced Mathematics 2027 Rs 4,500

JEE Advanced Mock Test 9 (Paper 1 shape)

JEE Advanced mock test 9 in the Paper 1 shape: 3 hours, multi-concept questions, with the marking scheme disclosed at the start as the real exam does.

54Questions
180Minutes
194Marks
-1 Negative
11-12Grades

About this test

JEE Advanced Mock Test 9 (Paper 1 shape) is a full 54-question paper you attempt online in 180 minutes. It follows the Joint Entrance Examination Advanced pattern, so the timing, the question style and the marking match the real exam. Marks are banded: Q1-3 score 4 and lose 1 if wrong; Q4 score 3 with no penalty; Q5 score 4 and lose 1 if wrong; Q6 score 3 with no penalty; Q7-9 score 4 and lose 1 if wrong; Q10 score 3 with no penalty; Q11 score 4 and lose 1 if wrong; Q12 score 3 with no penalty; Q13-14 score 4 and lose 1 if wrong; Q15 score 3 with no penalty; Q16 score 4 and lose 1 if wrong; Q17-19 score 3 with no penalty; Q20 score 4 and lose 1 if wrong; Q21 score 3 with no penalty; Q22-25 score 4 and lose 1 if wrong; Q26 score 3 with no penalty; Q27 score 4 and lose 1 if wrong; Q28 score 3 with no penalty; Q29 score 4 and lose 1 if wrong; Q30 score 3 with no penalty; Q31 score 4 and lose 1 if wrong; Q32 score 3 with no penalty; Q33 score 4 and lose 1 if wrong; Q34 score 3 with no penalty; Q35 score 4 and lose 1 if wrong; Q36 score 3 with no penalty; Q37-38 score 4 and lose 1 if wrong; Q39 score 3 with no penalty; Q40-43 score 4 and lose 1 if wrong; Q44 score 3 with no penalty; Q45 score 4 and lose 1 if wrong; Q46 score 3 with no penalty; Q47-48 score 4 and lose 1 if wrong; Q49 score 3 with no penalty; Q50 score 4 and lose 1 if wrong; Q51-53 score 3 with no penalty; and Q54 score 4 and lose 1 if wrong. 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. Two papers, mixed question types, partial marking.

What it covers

Rotational collisions - angular momentum about a pivot Electromagnetic induction - coupled coils Thermodynamics - free expansion of an ideal gas Electrostatics - energy of a charged spherical shell Optics - resolving power and aperture Waves - beats and the speed of sound in a resonance tube Potential energy - locating equilibrium points Energy conservation - speed at the origin Potential wells - condition for bounded motion Modern physics - X-ray tube cut-off wavelength Current electricity - internal resistance from two loads Fluid mechanics - viscous flow through a tube Matrix match - electromagnetic quantities and their sources Gravitation - energy and escape from a planet Simple harmonic motion - compound pendulum period Kinetic theory - degrees of freedom and internal energy Optics - dispersive power of a prism Semiconductors - conductivity from carrier data Electrochemistry - predicting displacement from potentials Organic - stereochemistry of substitution Kinetics - half life of a second order reaction Coordination - chelate effect and stability Heterogeneous equilibrium - partial pressures Heterogeneous equilibrium - the constant Heterogeneous equilibrium - adding more solid Thermodynamics - enthalpy of combustion per gram Inorganic - periodic trends with values Solutions - freezing point of a mixed electrolyte Matrix match - ores and the metals extracted Ionic equilibrium - pH of a strong acid mixture Solid state - carrier concentration on doping Atomic structure - wavelength of the series limit Organic - identifying functional groups from tests Stoichiometry - volume of gas at non standard conditions Biomolecules - denaturation and enzyme kinetics Electrochemistry - moles of electrons from charge Integration - partial fractions Matrices - rank and solvability Probability - Bayes with unequal priors Complex numbers - nth roots of a complex number Calculus - critical points of a rational function Calculus - extreme values of the function Calculus - symmetry and the definite integral Vectors - area of a parallelogram from diagonals Matrix match - standard integrals Sequences - sum of a telescoping series 3D geometry - distance from a point to a plane Functions - even, odd and periodic Trigonometry - value of a sum of cosines Straight lines - family through the intersection Binomial theorem - ratio of terms Statistics - variance of the first n integers Limits - standard exponential form Conics - identifying a curve from its equation

Sections

  • Physics — 18 questions
  • Chemistry — 18 questions
  • Mathematics — 18 questions

Difficulty spread

  • 54 hard questions

Before you start

Pattern. One paper of 3 hours, in the shape of JEE Advanced Paper 1. Physics, Chemistry and Mathematics sections, with single-correct, multiple-correct, numerical and matching questions.

Marking scheme for this paper: +4 / -1 for single-correct; +4 with partial credit and -2 for multiple-correct; +3 / 0 for numerical.

Why the scheme changes between papers. JEE Advanced does not publish its marking scheme in advance. The official brochure states only that negative marks may be awarded for some questions, and that the details appear in the question paper itself. The organising IIT sets the rules each year and reveals them on screen on exam day. Read the scheme above before you begin and set your attempt threshold accordingly — that habit is worth more marks than any single topic.

Before you start. Phone in another room, single screen, no reference material, full three hours in one sitting. Remember that the real examination is two such papers on one day, and appearing in both is compulsory.

A look at the questions

Q1. A uniform rod of mass $M$ and length $L$ hangs vertically from a frictionless pivot at its top end. A bullet of mass $m$ travelling horizontally at speed $v$ embeds itself at the lower end. The angular speed of the system immediately after impact is:
A) $\dfrac{3mv}{(M + 3m)L}$
B) $\dfrac{mv}{(M + m)L}$
C) $\dfrac{3mv}{(M + m)L}$
D) $\dfrac{mv}{ML}$
Q2.

Two coils have self-inductances $L_1$ and $L_2$ and mutual inductance $M$. Which statements are correct?

One or more options are correct. Partial credit applies.

A) $M \le \sqrt{L_1L_2}$ always
B) The coupling coefficient is $k = \dfrac{M}{\sqrt{L_1L_2}}$
C) For perfectly coupled coils $M = \sqrt{L_1L_2}$
D) Mutual inductance depends on the current flowing
52 more questions in the full paper, each with a worked solution.

Questions people ask

What is the marking scheme for this paper?

+4 / -1 for single-correct; +4 with partial credit and -2 for multiple-correct; +3 / 0 for numerical. It is disclosed here because the real examination discloses its own scheme on the day rather than in advance.

How long is the paper?

Three hours, matching one real JEE Advanced paper. The actual exam is two such papers on a single day and appearing in both is compulsory.

What does this paper focus on?

Rotational dynamics and thermodynamics weighted.

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