Physics - Units and Dimensions
Practise 18 WBJEE previous year questions on Units and Dimensions, compiled from papers spanning 2012 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 WBJEE tests.
Units and Dimensions has been asked in 13 of the 18 years of WBJEE papers analysed (2009–2026), with 18 questions in all. 67% of them were easy, 22% moderate and 11% tough. Most of its questions came from 2024, with 4 questions that year. In the last three years (2024–2026) it had 7 questions across 3 papers, about 2.3 per paper.
The chapter's 3 topics are not weighted equally: Dimensions (16 questions, 89%), Units (1 question, 6%), and Errors of Measurement (1 question, 6%) have been asked the most. Dimensions has also led over the last five years, with 7 questions. Dimensions has produced the most tough questions (2).
- 1Density and volume of a body are given as gm/cm and cm respectively. The absolute error in measurement of mass is2026Errors of Measurement
- 2The velocity of a particle at time is given by , where and are constants. The dimension of and are, respectively2026Dimensions
- 3If the dimensions of length are expressed as , where and h are the universal gravitational constant, speed of light and Planck's constant re2025Dimensions
- 4The Power radiated from an accelerated charged particle is given by where is the charge, is the acceleration of the particle and c is speed 2024Dimensions
- 5Which of the following quantity has the dimension of length? (h is Planck's constant, m is the mass of electron and c is the velocity of lig2024Dimensions
- 6If the energy, , where is the universal gravitational constant, is the Planck's constant and is the velocity of light, then the values of an2024Dimensions
- 7A particle of mass ' ' moves in one dimension under the action of a conservative force whose potential energy has the form of where and are 2024Dimensions
- 8The Entropy (S) of a black hole can be written as , where is the Boltzmann constant and is the area of the black hole. Then has dimension of2022Dimensions
- 9From dimensional analysis, the Rydberg constant can be expressed in terms of electric charge (e), mass (m) and Planck constant ( ) as consid2021Dimensions
- 10The frequency of the radiation emitted by an atom when an electron jumps from one orbit to another is given by , where is a constant and is 2020Dimensions
- 11The correct dimensional formula for impulse is given by2019Dimensions
- 12A spherical liquid drop is placed on a horizontal plane. A small disturbance causes the volume of the drop to oscillate. The time period of 2018Dimensions
- 13The dimension of the universal constant of gravitation, is2017Dimensions
- 14If where is in metre and is in hour , then unit of will be2016Units
- 15In which of the following pairs, the two physical quantities have different dimensions?2014Dimensions
- 16If denotes a positive integer, the Planck constant, the charge and the magnetic field, then the quantity has the2014Dimensions
- 17The equation of state of a gas is given by where are pressure, volume and temperature respectively and are constants. The dimensions of and 2013Dimensions
- 18The dimension of angular momentum is2012Dimensions
Frequently Asked Questions
1.How many questions are available for Units and Dimensions?
This chapter includes 18 questions compiled from WBJEE papers spanning 2012 to 2026.
2.Are these questions only from WBJEE, or from other exams too?
These are WBJEE 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 WBJEE Physics?
Units and Dimensions has appeared in 13 of the 18 years of WBJEE papers covered here, with 18 questions across 13 papers - about one per paper it appears in.
4.What is the difficulty level of Units and Dimensions questions in WBJEE?
Of the 18 questions analysed for this chapter, 67% are easy, 22% moderate and 11% tough. 2024 had the most, with 4 questions.
5.Which topics in Units and Dimensions should I focus on?
These topics have carried the most weightage in Units and Dimensions:
- Dimensions - 16 questions (89%)
- Units - 1 question (6%)
- Errors of Measurement - 1 question (6%)
- Dimensions has produced the most tough questions (2).
6.Is Units and Dimensions's weightage in WBJEE going up or down?
Across all 13 papers analysed, Units and Dimensions has averaged about 1.4 questions per paper. In the last three years (2024–2026), that average has risen, at about 2.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.