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JEE Advanced 2023 · Paper 2
A full paper in the 2023 Paper 2 pattern: Physics, Chemistry and Mathematics, 17 questions each, one 180-minute clock. Take it as a timed mock or open it in learn mode and check every answer.
51questions
180 minone clock
180maximum marks
8/29/14easy / medium / hard
Sections and marking
Each subject has the same 4 sections, 60 marks per subject.
| Section | Type | Questions | Marking |
|---|---|---|---|
| Section 1 | Single correct | 4 | +3 / -1 |
| Section 2 | One or more correct | 3 | +4 all correct, partial +3/+2/+1, -2 otherwise |
| Section 3 | Integer answer | 6 | +4, no negative |
| Section 4 | Paragraph based, numerical (2 sets) | 4 | +3, no negative |
Topics in this paper
Physics · 17 questions
- Compton scattering2
- Physical pendulum2
- Projectile motion on an incline with elastic bounces1
- Potentiometer and internal resistance of a cell1
- Characteristic X-rays, photoelectric effect and motion in a magnetic field1
- Stefan-Boltzmann law, Wien's law and planetary equilibrium temperature1
- Gauss's law with non-uniform charge density, potential and field energy1
- Ampere's law and superposition for a cylinder with a cavity1
- Reversible engine between finite bodies, entropy and maximum work1
- Standing waves on a string with buoyancy-reduced tension1
- Thermal stress and transverse waves on a wire1
- Faraday disc, motional emf and terminal angular speed1
- Lens-maker's formula and image formation with a plane mirror1
- Block on a free wedge and constraint relations1
Chemistry · 17 questions
- Electrochemistry2
- Thermochemistry and chemical equilibrium1
- Amines, diazonium salts and Reimer-Tiemann reaction1
- Chromium chemistry (chromyl chloride test)1
- Atomic structure1
- p-block1
- Organic acidity, basicity and hydrogen bonding1
- Solid state1
- Isomerism and isotopic chirality1
- Coordination compounds1
- Inorganic1
- Biomolecules1
- Polymers1
- Ionic equilibrium1
Mathematics · 17 questions
- Matrices2
- Probability2
- Vectors1
- Complex numbers1
- Inverse function and integral1
- Binomial theorem with integration1
- System of linear equations1
- Differential equations1
- Conics1
- Combinatorics1
- Number of roots using Rolle's theorem1
- Limits with integrals1
- Sequences and series1
- Area under curves1
Sample question from this paper
Mathematics · System of linear equations · one or more options correct
Consider the system of linear equations in : , where are real constants. Which of the following statements is/are correct?
- A. The system has a unique solution if and only if
- B. For and the system has at least one solution
- C. For and the solution set is a straight line passing through the point
- D. For and the unique solution satisfies
Show answer and solution
Answer: A, C
The determinant of the coefficient matrix is , so a unique solution exists iff (A true). For the third equation minus the second gives . So makes the system inconsistent (B false), while leaves the first two equations: subtracting, , so and ; this is the line through with direction (C true). For : equation 3 minus equation 2 gives , so , , ; then (D false).
The determinant of the coefficient matrix is , so a unique solution exists iff (A true). For the third equation minus the second gives . So makes the system inconsistent (B false), while leaves the first two equations: subtracting, , so and ; this is the line through with direction (C true). For : equation 3 minus equation 2 gives , so , , ; then (D false).