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JEE Advanced 2024 · Paper 2

A full paper in the 2024 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
7/35/9easy / medium / hard
Start timed mockStudy with solutions

Sections and marking

Each subject has the same 4 sections, 60 marks per subject.

SectionTypeQuestionsMarking
Section 1Single correct4+3 / -1
Section 2One or more correct3+4 all correct, partial +3/+2/+1, -2 otherwise
Section 3Integer answer6+4, no negative
Section 4Paragraph based, numerical (2 sets)4+3, no negative

Topics in this paper

Physics · 17 questions

  • Rolling and friction1
  • Thermodynamics of ideal gas1
  • Bohr model and photoelectric effect1
  • Electromagnetic induction with capacitor1
  • Standing waves in pipes1
  • Motion of charged particle in E and B fields1
  • Young's double slit with thin film1
  • Fluid mechanics in rotating frame1
  • Gravitation and orbits1
  • Rotational collision and energy1
  • Resistor networks and DC circuits1
  • AC circuits and power factor1
  • Radioactive decay1
  • Capacitors with dielectric1

Chemistry · 17 questions

  • Thermodynamics2
  • Electrochemistry1
  • Stereochemistry of alkene addition reactions1
  • Coordination compounds1
  • Chemical equilibrium and van't Hoff equation1
  • p-block and noble gas compounds1
  • Named reactions and ether cleavage1
  • Ionic equilibrium1
  • Chemical bonding and magnetic properties1
  • Solid state1
  • Chemical kinetics1
  • Ideal solutions and Raoult's law1
  • Alcohol dehydration, rearrangement and stereoisomers1
  • Redox titrations and n-factor1

Mathematics · 17 questions

  • Probability3
  • Definite integrals1
  • Conic sections1
  • Matrices1
  • 3D geometry1
  • Differential equations1
  • Theory of equations1
  • Functions1
  • Permutations with repeated letters1
  • Vectors1
  • Limits1
  • Complex numbers1
  • Combinatorics1
  • Area under curves1

Sample question from this paper

Mathematics · 3D geometry - skew lines and planes · one or more options correct

Consider the lines L1: x−11=y−22=z−32L_1:\ \dfrac{x-1}{1}=\dfrac{y-2}{2}=\dfrac{z-3}{2} and L2: x−22=y−1−1=z2L_2:\ \dfrac{x-2}{2}=\dfrac{y-1}{-1}=\dfrac{z}{2}. Which of the following statements is/are correct?
  1. A. L1L_1 and L2L_2 are skew lines.
  2. B. The shortest distance between L1L_1 and L2L_2 is 1965\dfrac{19}{\sqrt{65}}.
  3. C. The plane containing L1L_1 and parallel to L2L_2 is 6x+2y−5z+5=06x+2y-5z+5=0.
  4. D. The acute angle θ\theta between L1L_1 and L2L_2 satisfies cos⁡θ=47\cos\theta=\dfrac{4}{7}.
Show answer and solution
Answer: A, B, C
Direction vectors d⃗1=(1,2,2)\vec d_1=(1,2,2), d⃗2=(2,−1,2)\vec d_2=(2,-1,2); d⃗1×d⃗2=(6,2,−5)\vec d_1\times\vec d_2=(6,2,-5) with magnitude 65\sqrt{65}. The vector joining points (1,2,3)(1,2,3) and (2,1,0)(2,1,0) is (1,−1,−3)(1,-1,-3) and its dot product with the cross product is 6−2+15=19≠06-2+15=19\neq0, so the lines are skew (A true) and the shortest distance is 19/6519/\sqrt{65} (B true). The plane through (1,2,3)(1,2,3) with normal (6,2,−5)(6,2,-5) is 6x+2y−5z=6+4−15=−56x+2y-5z=6+4-15=-5, i.e. 6x+2y−5z+5=06x+2y-5z+5=0 (C true). Finally cos⁡θ=∣d⃗1⋅d⃗2∣∣d⃗1∣∣d⃗2∣=43⋅3=49\cos\theta=\dfrac{|\vec d_1\cdot\vec d_2|}{|\vec d_1||\vec d_2|}=\dfrac{4}{3\cdot3}=\dfrac49, not 47\dfrac47 (D false).

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