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Physics - Units and Dimensions

Practise 67 AP EAMCET previous year questions on Units and Dimensions, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty AP EAMCET tests.

Units and Dimensions has been asked in 20 of the 24 years of AP EAMCET papers analysed (2001–2024), with 67 questions in all. 82% of them were easy, 18% moderate and 0% tough. Most of its questions came from 2021, with 11 questions that year. In the last three years (2022–2024) it had 18 questions across 28 papers, about 0.6 per paper.

The chapter's 3 topics are not weighted equally: Dimensions (46 questions, 69%), Units (18 questions, 27%), and Errors of Measurement (3 questions, 4%) have been asked the most. Dimensions has also led over the last five years, with 23 questions.

  1. 1The physical quantity having the dimensions of the square root of the ratio of the kinetic energy and surface tension is27 May, 2025 (M)Dimensions
  2. 2The number of significant figures in 0.03240 is26 May, 2025 (M)Dimensions
  3. 3If force , then the dimensional formulae of and are respectively26 May, 2025 (E)Dimensions
  4. 4If the error in the measurement of the surface area of a sphere is , then the error in the determination of the volume of the sphere is24 May, 2025 (M)Errors of Measurement
  5. 5Of the following, the pair of physical quantities not having the same dimensional formula is23 May, 2025 (M)Dimensions
  6. 6If the equation for the velocity of a particle at time ' ' is , then the dimensions of are respectively23 May, 2025 (E)Dimensions
  7. 7The dimensional formula of Planck's constant is22 May, 2025 (M)Dimensions
  8. 8The number of significant figures in the simplification of is22 May, 2025 (E)Errors of Measurement
  9. 9If the maximum and minimum temperatures at a place on a day are measured as and respectively, then the temperature difference is21 May, 2025 (E)Errors of Measurement
  10. 10Which of the following is not a unit of permeability23 May, 2024 (M)Units
  11. 11In the equation , where P is pressure, V is volume, T is temperature, R is universal gas constant, and are constants. The dimensions of are22 May, 2024 (E)Dimensions
  12. 12The time period of revolution of a satellite ( T ) around the earth depends on the radius of the circular orbit ( R ), mass of the earth (M)21 May, 2024 (M)Dimensions
  13. 13The length of the side of a cube is . Its volume up to correct significant figures is21 May, 2024 (E)Units
  14. 14represent energy, mass. angular momentum and gravitational constant respectively. The dimensions of will be that of20 May, 2024 (M)Dimensions
  15. 15Find the dimension formula of in the equation , where is a force, is distance and is time.20 May, 2024 (E)Dimensions
  16. 16Match the following:18 May, 2024 (M)Dimensions
  17. 17A certain physical quantity is calculated from the formula , where and are all lengths and is density. The physical quantity being calculate18 May, 2023 (M)Dimensions
  18. 18The density of a substance is in a system in which unit of length is and unit of mass is . The density of the substance in CGS system is18 May, 2023 (E)Units
  19. 19The dimensional formula of a physical quantity represented by is [e is the charge of electron, is the permittivity of free space, and is the17 May, 2023 (E)Dimensions
  20. 20If speed of light in vacuum , acceleration due to gravity and mass of electron are taken as fundamental physical quantities, then the unit o16 May, 2023 (E)Dimensions
  21. 21Among the following the least unit for length is15 May, 2023 (M)Units
  22. 22Among the following, the unit of permeability is NOT represented by15 May, 2023 (E)Units
  23. 23is the dimensional formula of the physical quantity08 Jul, 2022 (M)Dimensions
  24. 24The expressions below give current through an electronic component as a function of applied potential and are constants having dimensions of06 Jul, 2022 (E)Dimensions
  25. 25The energy of of a system is function of time and is given by , where and are constants. The dimensions of and are05 Jul, 2022 (M)Dimensions
  26. 26If the dimensional formula of '(Energy speed ' is then and are05 Jul, 2022 (E)Dimensions
  27. 27In SI units, kg m 2 s - 2 is equivalent to which of the following?04 Jul, 2022 (E)Units
  28. 28The book “Pisces of Physics” has been written by25 Aug, 2021 (E)Units
  29. 29Which quantity among the following has neither units nor dimensions?25 Aug, 2021 (E)Dimensions
  30. 30Which of the following pairs of physical quantities possess same dimension?24 Aug, 2021 (M)Dimensions
  31. 31is equal to24 Aug, 2021 (M)Units
  32. 32Generation, propagation and detection of electromagnetic waves is the basis of24 Aug, 2021 (E)Units
  33. 33Unification of weak and electromagnetic interactions was done by23 Aug, 2021 (M)Units
  34. 34Sir CV Raman got the Nobel prize in Physics for his work on23 Aug, 2021 (E)Units
  35. 35The volume of a liquid is proportional to......, given its density , viscosity and the time of flow through a capillary tube of length and r23 Aug, 2021 (E)Dimensions
  36. 36One angstrom A is equal to:20 Aug, 2021 (E)Units
  37. 37The dimensions of stress is20 Aug, 2021 (E)Dimensions
  38. 38The speed of ripples ( v ) on water surface depends on surface tension ( ) , density ( ) , and wavelength ( ) . Then the square of speed ( v19 Aug, 2021 (E)Dimensions
  39. 39The physical quantities that have the same dimension are07 Oct, 2020 (Special)Dimensions
  40. 40Which of the following is not a unit of time?23 Sep, 2020 (M)Units
  41. 41Which among the following has dimensions of charge?23 Sep, 2020 (M)Dimensions
  42. 42The SI unit of length is 'metre'. Suppose we adopt a new unit of length which equals \(x\) metre. Then, the area of \(1 {~m}^2\) expressed i21 Sep, 2020 (M)Units
  43. 43Choose the physical quantity pair with the same dimensions.18 Sep, 2020 (M)Dimensions
  44. 44Dimensions of \( _0\) are17 Sep, 2020 (E)Dimensions
  45. 45If the charge of electron \(e\), mass of electron \(m\), speed of light in vacuum \(c\) and Planck's constant \(h\) are taken as fundamental20 Apr, 2019 (M)Dimensions
  46. 46A physical quantity obtained from the ratio of the coefficient of thermal conductivity to the universal gravitational constant has a dimensi20 Apr, 2019 (E)Dimensions
  47. 47Assertion (A) : Energy per unit volume and angular momentum can be added dimensionally. Reason (R) : Physical quantities having same dimensi25 Apr, 2018 (M)Dimensions
  48. 48If represents Boltzmann constant, represents Planck's constant and represents speed of light in vacuum, then the quantity having the dimensi24 Apr, 2018 (M)Dimensions
  49. 49If , then the number is24 Apr, 2018 (E)Units
  50. 50Assertion (A) Energy per unit volume and angular momentum can be added dimensionally. Reason (R) Physical quantities having same dimensions 23 Apr, 2018 (M)Dimensions

Frequently Asked Questions

1.How many questions are available for Units and Dimensions?

This chapter includes 67 questions compiled from AP EAMCET papers spanning 2001 to 2025.

2.Are these questions only from AP EAMCET, or from other exams too?

These are AP EAMCET questions specifically for the Units and Dimensions chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Units and Dimensions an important chapter for AP EAMCET Physics?

Units and Dimensions has appeared in 21 of the 25 years of AP EAMCET papers covered here, with 67 questions across 61 papers - about one per paper it appears in.

4.What is the difficulty level of Units and Dimensions questions in AP EAMCET?

Of the 67 questions analysed for this chapter, 82% are easy, 18% moderate and 0% tough. 2021 had the most, with 11 questions.

5.Which topics in Units and Dimensions should I focus on?

These topics have carried the most weightage in Units and Dimensions:

  • Dimensions - 46 questions (69%)
  • Units - 18 questions (27%)
  • Errors of Measurement - 3 questions (4%)
6.Is Units and Dimensions's weightage in AP EAMCET going up or down?

Across all 61 papers analysed, Units and Dimensions has averaged about 1.1 questions per paper. In the last three years (2022–2024), 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.