Physics - Units and Dimensions
Practise 12 NEST (NISER) previous year questions on Units and Dimensions, compiled from papers spanning 2011 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 NEST (NISER) tests.
Units and Dimensions has been asked in 10 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 12 questions in all. 25% of them were easy, 67% moderate and 8% tough. Most of its questions came from 2022, with 2 questions that year. In the last three years (2024–2026) it had 3 questions across 4 papers, about 0.8 per paper.
The chapter's 2 topics are not weighted equally: Dimensions (11 questions, 92%) and Units (1 question, 8%) have been asked the most. Dimensions has also led over the last five years, with 5 questions. Dimensions has produced the most tough questions (1).
- 1The critical electric field required to produce electron-positron pairs depends on the physical constants , , and . Use dimensional analysis2026Dimensions
- 2Consider a metal cylinder of heat capacity , thermal conductivity , mass and radius . The combination that will have the dimension of time i2025Dimensions
- 3The energy of a one-dimensional system is given by where and are some non-zero constants. The dimension of the quantity is given by2024 (Session 2)Dimensions
- 4The pair(s) with same dimensions is(are)2023 (Session 2)Dimensions
- 5Choose the INCORRECT statement about the dimension of following quantities in terms of mass , length and time .2022 (Session 1)Dimensions
- 6In natural units, the speed of light is set to unity, i.e. . In this unit the energy is measured in2022 (Session 2)Units
- 7Certain theoretical calculations using quantum and relativistic concepts show that an accelerating observer (with constant linear accelerati2021 (Session 2)Dimensions
- 8One can express power in terms of the fundamental constants using dimensional analysis. Assuming that the associated dimensionless constant 2020 (Session 1)Dimensions
- 9An explosion releasing energy E occurs in a medium of density . This results in a spherical blast wave of radius . One can express the radiu2020 (Session 2)Dimensions
- 10In order to measure physical quantities in the sub-atomic world, the quantum theory often employs energy , angular momentum and velocity as 2017Dimensions
- 11The dimensions of charge can be written in terms of length , energy , temperature , and permittivity of free space as . Here2014Dimensions
- 12A spherical dewdrop, when deformed slightly, oscillates about its equilibrium shape. The physically relevant variables to describe the frequ2011Dimensions
Frequently Asked Questions
1.How many questions are available for Units and Dimensions?
This chapter includes 12 questions compiled from NEST (NISER) papers spanning 2011 to 2026.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) 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 NEST (NISER) Physics?
Units and Dimensions has appeared in 10 of the 16 years of NEST (NISER) papers covered here, with 12 questions across 12 papers - about one per paper it appears in.
4.What is the difficulty level of Units and Dimensions questions in NEST (NISER)?
Of the 12 questions analysed for this chapter, 25% are easy, 67% moderate and 8% tough. 2022 had the most, with 2 questions.
5.Which topics in Units and Dimensions should I focus on?
These topics have carried the most weightage in Units and Dimensions:
- Dimensions - 11 questions (92%)
- Units - 1 question (8%)
- Dimensions has produced the most tough questions (1).
6.Is Units and Dimensions's weightage in NEST (NISER) going up or down?
Across all 12 papers analysed, Units and Dimensions has averaged about 1.0 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.