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Physics - Mathematics in Physics

Practise 121 JEE Main previous year questions on Mathematics in Physics, compiled from papers spanning 2002 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Main tests.

Mathematics in Physics has been asked in 20 of the 25 years of JEE Main papers analysed (2002–2026), with 121 questions in all. 56% of them were easy, 38% moderate and 6% tough. Most of its questions came from 2021, with 25 questions that year. In the last three years (2024–2026) it had 28 questions across 49 papers, about 0.6 per paper.

The chapter's 5 topics are not weighted equally: Errors of Measurement (67 questions, 55%), Addition and Subtraction of Vectors (37 questions, 31%), and Multiplication of Vectors (13 questions, 11%) have been asked the most. Errors of Measurement has also led over the last five years, with 31 questions. Errors of Measurement has produced the most tough questions (4).

  1. 1The density of a uniform cylinder is determined by measuring its mass , length and diameter . The measured values of , and are g, mm and mm,06 Apr, 2026 (M)Errors of Measurement
  2. 2Four persons measure the length of a rod as and 18.25 cm. The relative error in the measurement of average length of the rod is :23 Jan, 2026 (M)Errors of Measurement
  3. 3In an experiment the values of two spring constants were measured as and . If these springs are connected in parallel, then the percentage e21 Jan, 2026 (M)Errors of Measurement
  4. 4A quantity Q is formulated as and Z are independent parameters which have fractional errors of and 0.5 , respectively in measurement. The ma08 Apr, 2025 (E)Errors of Measurement
  5. 5A physical quantity C is related to four other quantities and s as follows The percentage errors in the measurement of and s are and respect03 Apr, 2025 (E)Errors of Measurement
  6. 6A physical quantity is related to four observables as follows : where, and , then the percentage error in Q is , where ________ .29 Jan, 2025 (E)Errors of Measurement
  7. 7For an experimental expression , where all the digits are significant. Then to report the value of we should write24 Jan, 2025 (M)Significant numbers
  8. 8Two particles are located at equal distance from origin. The position vectors of those are represented by and , respectively. If both the ve23 Jan, 2025 (M)Addition and Subtraction of Vectors
  9. 9The energy of a system is given as , where t is the time and . The errors in the measurement of and are and , respectively. At , maximum per23 Jan, 2025 (E)Errors of Measurement
  10. 10The maximum percentage error in the measurment of density of a wire is [Given, mass of wire radius of wire length of wire22 Jan, 2025 (E)Errors of Measurement
  11. 11If and makes an angle with each other, then for The integer value of is ____09 Apr, 2024 (M)Addition and Subtraction of Vectors
  12. 12The resultant of two vectors and is perpendicular to and its magnitude is half that of . The angle between vectors and is ______ .09 Apr, 2024 (E)Addition and Subtraction of Vectors
  13. 13In an expression ;08 Apr, 2024 (M)Errors of Measurement
  14. 14Young's modulus is determined by the equation given by where is the mass and is the extension of wire used in the experiment. Now error in Y08 Apr, 2024 (M)Errors of Measurement
  15. 15Three vectors and each of magnitude are acting as shown in figure. The resultant of the three vectors is . The value of is ________ .08 Apr, 2024 (M)Addition and Subtraction of Vectors
  16. 16To find the spring constant of a spring experimentally, a student commits positive error in the measurement of time and negative error in me06 Apr, 2024 (M)Errors of Measurement
  17. 17For three vectors and , if , then value of is _________06 Apr, 2024 (M)Multiplication of Vectors
  18. 18The angle between vector and the resultant of and is :05 Apr, 2024 (M)Addition and Subtraction of Vectors
  19. 19Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as and . The arithmetic05 Apr, 2024 (M)Errors of Measurement
  20. 20A particle moves in plane under the influence of a force such that its linear momentum is . If is constant, the angle between and will be :05 Apr, 2024 (E)Multiplication of Vectors
  21. 21In an experiment to measure focal length of convex lens, the least counts of the measuring scales for the position of object and for the pos04 Apr, 2024 (M)Errors of Measurement
  22. 22Two forces and are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to 04 Apr, 2024 (M)Addition and Subtraction of Vectors
  23. 23The radius r , length l and resistance R of a metal wire was measured in the laboratory as r = 0 .35 ± 0 .05 cm , R = 100 ± 10 ohm , l = 15 01 Feb, 2024 (M)Errors of Measurement
  24. 24Match List - I with List - II. List - I (Number) List - II (Signficant figure) (A) 1001 (I) 3 (B) 010 . 1 (II) 4 (C) 100 . 100 (III) 5 (D) 001 Feb, 2024 (E)Errors of Measurement
  25. 25If the percentage errors in measuring the length and the diameter of a wire are 0 . 1 % each. The percentage error in measuring its resistan31 Jan, 2024 (M)Errors of Measurement
  26. 26If two vectors A → and B → having equal magnitude R are inclined at an angle θ , then31 Jan, 2024 (E)Addition and Subtraction of Vectors
  27. 27A vector has magnitude same as that of A → = 3 j ^ + 4 j ^ and is parallel to B → = 4 i ^ + 3 j ^ . The x and y components of this vector in30 Jan, 2024 (E)Fundamentals of Vectors
  28. 28The resistance R = V I , where V = ( 200 ± 5 ) V and I = ( 20 ± 0 . 2 ) A , the percentage error in the measurement of R is :29 Jan, 2024 (M)Errors of Measurement
  29. 29A physical quantity Q is found to depend on quantities a , b , c by the relation Q = a 4 b 3 c 2 . The percentage error in a , b and c are 329 Jan, 2024 (E)Errors of Measurement
  30. 30A vector in x - y plane makes an angle of 30 o with y -axis. The magnitude of y -component of vector is 2 3 . The magnitude of x -component 15 Apr, 2023 (M)Addition and Subtraction of Vectors
  31. 31Three forces F 1 = 10 N , F 2 = 8 N , F 3 = 6 N are acting on a particle of mass 5 kg . The forces F 2 and F 3 are applied perpendicularly s12 Apr, 2023 (M)Addition and Subtraction of Vectors
  32. 32When vector A = 2 i ^ + 3 j ^ + 2 k ^ is subtracted from vector B , it gives a vector equal to 2 j ^ . Then the magnitude of vector B will b11 Apr, 2023 (E)Addition and Subtraction of Vectors
  33. 33A physical quantity P is given as P = a 2 b 3 c d . The percentage error in the measurement of a , b , c and d are 1 % , 2 % , 3 % and 4 % r10 Apr, 2023 (M)Errors of Measurement
  34. 34A cylindrical wire of mass ( 0 . 4 0 . 01 ) g has length ( 8 0 . 04 ) cm and radius ( 6 0 . 03 ) mm . The maximum error in its density will 08 Apr, 2023 (M)Errors of Measurement
  35. 35Two forces having magnitude A and A 2 are perpendicular to each other. The magnitude of their resultant is:08 Apr, 2023 (M)Addition and Subtraction of Vectors
  36. 36Two resistance are given as R 1 = ( 10 0 . 5 ) and R 2 = ( 15 0 . 5 ) . The percentage error in the measurement of equivalent resistance whe06 Apr, 2023 (M)Errors of Measurement
  37. 37The length of a metallic wire is increased by 20 % and its area of cross-section is reduced by 4 % . The percentage change in resistance of 06 Apr, 2023 (M)Errors of Measurement
  38. 38A body is moving with constant speed, in a circle of radius 10 m . The body completes one revolution in 4 s . At the end of 3 r d second, th31 Jan, 2023 (E)Addition and Subtraction of Vectors
  39. 39In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thick29 Jan, 2023 (E)Errors of Measurement
  40. 40If P = 3 i ^ + 3 j ^ + 2 k ^ and Q = 4 i ^ + 3 j ^ + 2 . 5 k ^ then, the unit vector in the direction of P Q is 1 x ( 3 i ^ + j ^ - 2 3 k ^ 25 Jan, 2023 (M)Multiplication of Vectors
  41. 41Vectors a i ^ + b j ^ + k ^ and 2 i ^ - 3 j ^ + 4 k ^ are perpendicular to each other when 3 a + 2 b = 7 , the ratio of a to b is x 2 . The 24 Jan, 2023 (M)Multiplication of Vectors
  42. 42If two vectors P = i ^ + 2 m j ^ + m k ^ and Q = 4 i ^ - 2 j ^ + m k ^ are perpendicular to each other. Then, the value of m will be24 Jan, 2023 (E)Multiplication of Vectors
  43. 43If the projection of 2 i ^ + 4 j ^ - 2 k ^ on i ^ + 2 j ^ + k ^ is zero. Then, the value of will be28 Jul, 2022 (M)Multiplication of Vectors
  44. 44In an experiment to find acceleration due to gravity g using simple pendulum, time period of 0 . 5 s is measured from time of 100 oscillatio28 Jul, 2022 (E)Errors of Measurement
  45. 45A torque meter is calibrated to reference standards of mass, length and time each with 5 % accuracy. After calibration, the measured torque 27 Jul, 2022 (M)Errors of Measurement
  46. 46In an experiment of determine the Young s modulus of wire of a length exactly 1 m , the extension in the length of the wire is measured as 026 Jul, 2022 (M)Errors of Measurement
  47. 47If A = 2 i ^ + 3 j ^ - k ^ m and B = i ^ + 2 j ^ + 2 k ^ m . The magnitude of component of vector A along vector B will be _____ m .26 Jul, 2022 (E)Multiplication of Vectors
  48. 48A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m , then the magnitude of displacem25 Jul, 2022 (M)Addition and Subtraction of Vectors
  49. 49The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 1 % , 2 % and 3 % 25 Jul, 2022 (E)Errors of Measurement
  50. 50Two vectors A and B have equal magnitudes. If magnitude of A + B is equal to two times the magnitude of A - B , then the angle between A and29 Jun, 2022 (M)Addition and Subtraction of Vectors

Frequently Asked Questions

1.How many questions are available for Mathematics in Physics?

This chapter includes 121 questions compiled from JEE Main papers spanning 2002 to 2026.

2.Are these questions only from JEE Main, or from other exams too?

These are JEE Main questions specifically for the Mathematics in Physics chapter. Questions from other exams like NTA Abhyas (JEE Main) or JEE Advanced are organised separately under their respective exam sections.

3.Is Mathematics in Physics an important chapter for JEE Main Physics?

Mathematics in Physics has appeared in 20 of the 25 years of JEE Main papers covered here, with 121 questions across 102 papers - about one per paper it appears in.

4.What is the difficulty level of Mathematics in Physics questions in JEE Main?

Of the 121 questions analysed for this chapter, 56% are easy, 38% moderate and 6% tough. 2021 had the most, with 25 questions.

5.Which topics in Mathematics in Physics should I focus on?

These topics have carried the most weightage in Mathematics in Physics:

  • Errors of Measurement - 67 questions (55%)
  • Addition and Subtraction of Vectors - 37 questions (31%)
  • Multiplication of Vectors - 13 questions (11%)
  • Errors of Measurement has produced the most tough questions (4).
6.Is Mathematics in Physics's weightage in JEE Main going up or down?

Across all 102 papers analysed, Mathematics in Physics has averaged about 1.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.