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Friday, 9 October

JEE Main Physics · Class 11

Units and Measurements: JEE Main previous year questions

Units and Measurements had 61 questions in the 42 JEE Main shifts Lumi analysed, about 1.2 a shift, asked in 38 of 42 shifts. It ranks 4 of 29 Physics chapters by questions; 2% of its questions were hard.

Questions
61
in 38 of 42 shifts
A shift, on average
1.2
of 25 Physics questions
Since 2024
+0.8
0.9 a shift in 2017–23, 1.7 in 2024–26
Numerical answer
2
3% of its questions

Year by year

How often it came

Questions in the analysed shifts of each year. Years differ in how many shifts Lumi analysed, so read the bars with the shift count.

Questions each year
08161’173’204’215’224’2315’2414’2515’26

2017: 1 shifts · 2020: 4 shifts · 2021: 4 shifts · 2022: 4 shifts · 2023: 4 shifts · 2024: 8 shifts · 2025: 8 shifts · 2026: 9 shifts

Difficulty by year
  • 20171
  • 20203
  • 20214
  • 20225
  • 20234
  • 202415
  • 202514
  • 202615
  • Easy
  • Medium
  • Hard

Inside the chapter

Topics and the ideas that repeat

8 topics and 6 distinct ideas; 2 ideas were asked more than once. Most questions are single correct and calculation.

Topics, by questions

49 questions had no close topic in our taxonomy and are counted for the chapter only.

Ideas asked most
2 repeat

Study it on Lumi

Units and Measurements: the interactive lesson

Every question

All 61 Units and Measurements questions

Newest first. Each opens with its options and the official answer.

2026 15 questions

  1. 2 Apr 2026, Shift 1 · Q26The dimensional formula of 12ϵ0E2\frac12\epsilon_0E^2 (ϵ0\epsilon_0 = permittivity of vacuum and EE = electric field) is…EasySingle correct
  2. 2 Apr 2026, Shift 1 · Q27The diameter of a wire measured by a screw gauge of least count 0.0010.001 cm is 0.080.08 cm. The length measured by a scale of least count…MediumSingle correct
  3. 2 Apr 2026, Shift 2 · Q26Dimensions of universal gravitational constant (G) in terms of Planck's constant (h), distance (L), mass (M) and time (T) areMediumSingle correct
  4. 2 Apr 2026, Shift 2 · Q32In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale when two studs are in…EasySingle correct
  5. 4 Apr 2026, Shift 1 · Q26In a screw gauge when the circular scale is given five complete rotations it moves linearly by 2.52.5 mm. If the circular scale has 100100…EasySingle correct
  6. 5 Apr 2026, Shift 1 · Q26In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right of zero of the main scale and…EasySingle correct
  7. 5 Apr 2026, Shift 1 · Q27LL, CC and RR represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula…MediumSingle correct
  8. 5 Apr 2026, Shift 2 · Q26Match List - I with List - II. List - I A. Meter (L) B. Second (S) C. Kilogram (M) D. Kelvin (K) List - II I. hcG\sqrt{\frac{hc}{G}} II.…HardMatch the list
  9. 5 Apr 2026, Shift 2 · Q27In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10 V and 5…EasySingle correct
  10. 6 Apr 2026, Shift 1 · Q26The density ρ\rho of a uniform cylinder is determined by measuring its mass mm, length ll and diameter dd. The measured values of mm,…EasySingle correct
  11. 6 Apr 2026, Shift 1 · Q27The potential energy of a particle changes with distance xx from a fixed origin as V=Axx+BV=\frac{A\sqrt{x}}{x+B}, where AA and BB are…MediumSingle correct
  12. 6 Apr 2026, Shift 2 · Q26The percentage error in the calculated volume of a sphere, if there is 2% error in its diameter measurement, is __________.EasySingle correct
  13. 6 Apr 2026, Shift 2 · Q27Match List - I with List - II. List - I A. Boltzmann constant B. Stefan's constant C. Planck's constant D. Gravitational constant List -…MediumMatch the list
  14. 8 Apr 2026, Shift 2 · Q26A new unit (α\alpha) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and…EasySingle correct
  15. 8 Apr 2026, Shift 2 · Q27Consider the equation H=xpϵqErtsH = \frac{x^p \epsilon^q E^r}{t^s} Where HH = magnetic field; EE = electric field, ϵ\epsilon = permittivity,…MediumSingle correct

2025 14 questions

  1. 2 Apr 2025, Shift 1 · Q26The equation for real gas is given by (P+aV2)(V−b)=RT\left(P+\frac{a}{V^2}\right)(V-b)=RT, where P,V,T and R are the pressure, volume, temperature and…MediumSingle correct
  2. 2 Apr 2025, Shift 1 · Q27Match List - I with List - II. List - I List - II (A) Coefficient of viscosity (I) [ML0T−3][ML^0T^{-3}] (B) Intensity of wave (II)…MediumMatch the list
  3. 2 Apr 2025, Shift 2 · Q27Given a charge qq, current II and permeability of vacuum μ0\mu_0. Which of the following quantity has the dimension of momentum ?MediumSingle correct
  4. 2 Apr 2025, Shift 2 · Q35If μ0\mu_0 and ϵ0\epsilon_0 are the permeability and permittivity of free space, respectively, then the dimension of…EasySingle correct
  5. 3 Apr 2025, Shift 1 · Q26A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic operations with…EasySingle correct
  6. 3 Apr 2025, Shift 1 · Q27Match the LIST-I with LIST-II LIST-I A. Gravitational constant B. Gravitational potential energy C. Gravitational potential D.…EasyMatch the list
  7. 3 Apr 2025, Shift 2 · Q26Match the LIST-I with LIST-II LIST-I A. Boltzmann constant B. Coefficient of viscosity C. Planck's constant D. Thermal conductivity…MediumMatch the list
  8. 3 Apr 2025, Shift 2 · Q46A physical quantity C is related to four other quantities p, q, r and s as follows C=pq2r3sC = \frac{pq^2}{r^3\sqrt{s}}. The percentage errors…EasyNumerical value
  9. 4 Apr 2025, Shift 2 · Q26For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions…EasySingle correct
  10. 4 Apr 2025, Shift 2 · Q27In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of…MediumSingle correct
  11. 7 Apr 2025, Shift 1 · Q26If ϵ0\epsilon_0 denotes the permittivity of free space and ΦE\Phi_E is the flux of the electric field through the area bounded by the…MediumSingle correct
  12. 7 Apr 2025, Shift 2 · Q26The dimension of μ0ϵ0\sqrt{\frac{\mu_0}{\epsilon_0}} is equal to that of : (μ0\mu_0 = Vacuum permeability and ϵ0\epsilon_0 = Vacuum…MediumSingle correct
  13. 7 Apr 2025, Shift 2 · Q27Match List - I with List - II. List - I | List - II (A) Mass density | (I) [ML2T−3][ML^2T^{-3}] (B) Impulse | (II) [MLT−1][MLT^{-1}] (C) Power |…EasyMatch the list
  14. 8 Apr 2025, Shift 2 · Q26A quantity Q is formulated as X−2Y+32Z−25X^{-2}Y^{+\frac{3}{2}}Z^{-\frac{2}{5}}. X, Y and Z are independent parameters which have fractional errors…EasySingle correct

2024 15 questions

  1. 6 Apr 2024, Shift 2 · Q32Given below are two statements : Statement (I) : Dimensions of specific heat is [L2T−2K−1][\mathrm{L^2T^{-2}K^{-1}}]. Statement (II) : Dimensions…MediumTwo statements
  2. 6 Apr 2024, Shift 2 · Q40In a vernier calliper, when both jaws touch each other, zero of the vernier scale shifts towards left and its 4th4^{\text{th}} division…MediumSingle correct
  3. 8 Apr 2024, Shift 1 · Q31In an expression a×10ba\times10^b:EasySingle correct
  4. 8 Apr 2024, Shift 1 · Q48Young's modulus is determined by the equation given by Y=49000mldynecm2Y=49000\frac{m}{l}\frac{\mathrm{dyne}}{\mathrm{cm}^2} where MM is the mass and…MediumSingle correct
  5. 8 Apr 2024, Shift 1 · Q49The diameter of a sphere is measured using a vernier caliper whose 9 divisions of main scale are equal to 10 divisions of vernier scale.…MediumSingle correct
  6. 9 Apr 2024, Shift 1 · Q31The dimensional formula of latent heat is :EasySingle correct
  7. 9 Apr 2024, Shift 1 · Q49One main scale division of a vernier caliper is equal to m units. If nthn^{th} division of main scale coincides with (n+1)th(n+1)^{th} division…MediumSingle correct
  8. 9 Apr 2024, Shift 2 · Q31The de-Broglie wavelength associated with a particle of mass mm and energy EE is h/2mEh/\sqrt{2mE}. The dimensional formula for Planck's…EasySingle correct
  9. 29 Jan 2024, Shift 1 · Q31The resistance R=VIR=\frac{V}{I} where V=(200±5)V=(200\pm5) V and I=(20±0.2)I=(20\pm0.2) A, the percentage error in the measurement of R is :EasySingle correct
  10. 30 Jan 2024, Shift 2 · Q31If mass is written as m=k cPG−1/2h1/2m = k\, c^P G^{-1/2} h^{1/2} then the value of PP will be : (Constants have their usual meaning with kk a…MediumSingle correct
  11. 30 Jan 2024, Shift 2 · Q50If 50 Vernier divisions are equal to 49 main scale divisions of a traveling microscope and one smallest reading of main scale is…EasySingle correct
  12. 31 Jan 2024, Shift 1 · Q31A force is represented by F=ax2+bt12F=ax^2+bt^{\frac{1}{2}} where xx = distance and tt = time. The dimensions of b2/ab^2/a are:EasySingle correct
  13. 31 Jan 2024, Shift 1 · Q50If the percentage errors in measuring the length and the diameter of a wire are 0.1% each. The percentage error in measuring its…EasySingle correct
  14. 31 Jan 2024, Shift 2 · Q31Consider two physical quantities AA and BB related to each other as E=B−x2AtE=\frac{B-x^2}{At} where EE, xx and tt have dimensions of…MediumSingle correct
  15. 31 Jan 2024, Shift 2 · Q50The measured value of the length of a simple pendulum is 20 cm with 2 mm accuracy. The time for 50 oscillations was measured to be 40…MediumSingle correct

2023 4 questions

  1. 6 Apr 2023, Shift 1 · Q46Two resistances are given as R1=(10±0.5) ΩR_1=(10\pm0.5)\,\Omega and R2=(15±0.5) ΩR_2=(15\pm0.5)\,\Omega. The percentage error in the measurement of equivalent…MediumSingle correct
  2. 8 Apr 2023, Shift 2 · Q31Match List I with List II LIST I: A. Torque; B. Stress; C. Pressure gradient; D. Coefficient of viscosity LIST II: I.…EasyMatch the list
  3. 11 Apr 2023, Shift 1 · Q50Given below are two statements : Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring…EasyTwo statements
  4. 13 Apr 2023, Shift 2 · Q31In the equation [X+aY2][Y−b]=RT\left[X+\frac{a}{Y^2}\right][Y-b]=RT, XX is pressure, YY is volume, R is universal gas constant and TT is…MediumSingle correct

2022 5 questions

  1. 25 Jul 2022, Shift 1 · Q31If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :MediumSingle correct
  2. 25 Jul 2022, Shift 1 · Q32Which of the following physical quantities have the same dimensions ?MediumSingle correct
  3. 28 Jul 2022, Shift 1 · Q31The dimensions of (B2μ0)\left(\frac{B^2}{\mu_0}\right) will be : (if μ0\mu_0 : permeability of free space and B : magnetic field)EasySingle correct
  4. 24 Jun 2022, Shift 1 · Q34Identify the pair of physical quantities which have different dimensions :MediumSingle correct
  5. 29 Jun 2022, Shift 1 · Q42In van dar Wall equation [P+aV2][V−b]=RT\left[P + \frac{a}{V^2}\right][V - b] = RT; P is pressure, V is volume, R is universal gas constant and T is…EasySingle correct

2021 4 questions

  1. 25 Jul 2021, Shift 1 · Q29Student A and Student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a given wire. The…MediumNumerical valueHas a figure
  2. 16 Mar 2021, Shift 2 · Q17In order to determine the Young's Modulus of a wire of radius 0.2 cm (measured using a scale of least count = 0.001 cm) and length 1m…MediumSingle correct
  3. 18 Mar 2021, Shift 1 · Q9The time period of a simple pendulum is given by T=2πlgT = 2\pi\sqrt{\frac{l}{g}}. The measured value of the length of pendulum is 10 cm known…MediumSingle correct
  4. 18 Mar 2021, Shift 1 · Q13In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0 cm and diameter of…MediumSingle correct

2020 3 questions

  1. 2 Sep 2020, Shift 1 · Q1If speed VV, area AA and force FF are chosen as fundamental units, then the dimension of Young's modulus will be :MediumSingle correct
  2. 2 Sep 2020, Shift 1 · Q20The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide with 9…MediumSingle correct
  3. 6 Sep 2020, Shift 2 · Q1A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four…MediumSingle correct

2017 1 questions

  1. 2 Apr 2017 (offline) · Q30The following observations were taken for determining surface tension T of water by capillary method : diameter of capillary,…MediumSingle correct

Pattern: Asked most years.