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Physics - Units and Dimensions

Practise 92 NTA Abhyas (JEE Main) questions on Units and Dimensions. Each question shows a quick preview so you can jump straight to the topic you want to revise.

Units and Dimensions has been asked in 0 of the 25 years of NTA Abhyas (JEE Main) papers analysed (2002–2026), with 92 questions in all. 100% of them were easy, 0% moderate and 0% tough. Most of its questions came from 2026, with 0 questions that year. In the last three years (2024–2026) it had 0 questions across 49 papers, about 0 per paper.

All of the chapter's questions come from a single topic, Uncategorized.

  1. 1Let ε 0 denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then dimen
  2. 2Two gold pieces, each of mass 0 . 035 g , are placed in a box of mass 2 . 3 g . The total mass of the box with gold pieces is
  3. 3The dimensional formula for entropy is
  4. 4What is the dimensional formula of co-efficient of viscosity?
  5. 5Time T , velocity C and angular momentum h are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dim
  6. 6If the units of mass, length and time are doubled then unit of angular momentum will be
  7. 7If electronic charge e , electron mass m , speed of light in vacuum c and Planck's constant h are taken as fundamental quantities, the perme
  8. 8A spherical body, of mass m and radius r , is allowed to fall in a medium of viscosity η . The time in which the velocity of the body increa
  9. 9Let x = a 2 b 2 c be the physical quantity. If the percentage error in the measurement of physical quantities a , b and c are 2 % , 3 % and
  10. 10A screw gauge with a pitch of 1 m m has 100 divisions on its circular scale. When it is used to measure the diameter of a thin wire, the mai
  11. 11The velocity of a particle measured from an instrument is 0 . 00204300 m s . The number of significant figures is
  12. 12In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of 0 . 25 cm . There are 100 circular scale divisions
  13. 13If force F is related with distance x and time t as F = A x + B t 2 , the dimensions of A B is
  14. 14If C (velocity of light), h (Planck's constant) and G (Universal gravitational constant) are taken as fundamental quantities, then the dimen
  15. 15If p represents radiation pressure, C represents the speed of light and q represents radiation energy striking a unit area per second, then
  16. 16The viscosity η of a gas depends on the long-range attractive part of the intermolecular force, which varies with molecular separation r acc
  17. 17If velocity, force and time are taken as the fundamental quantities, then using dimensional analysis choose the correct dimensional formula
  18. 18Dimensional formula of magnetic flux is
  19. 19If Z = A sin ⁡ θ + B cos ⁡ θ A + B ; then
  20. 20If E and B denote electric and magnetic fields respectively, which of the following is dimensionless?
  21. 21The quantity X = ε 0 L V t where ε 0 is the permittivity of free space, L is length, V is the potential difference and t is time. The dimens
  22. 22Two resistances are measured in ohm and are given as: R 1 = 3 Ω ± 1 % R 2 = 6 Ω ± 2 % When they are connected in parallel, the percentage er
  23. 23The force F on a sphere of radius a , moving in a medium with velocity v , is given by F = 6 π η a v . The dimensions of η are
  24. 24The accuracy in the measurement of time for 20 oscillations of a pendulum for the following measurements, t 1 = 39.6 s , t 2 = 39 . 9 s and
  25. 25If v = A t + B t 2 + C t 3 where v is velocity, t is time and A , B and C are constants, then the dimensional formula of B is
  26. 26In a simple pendulum experiment for determination of acceleration due to gravity ( g ) , time taken for 20 oscillations is measures by using
  27. 27The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum erro
  28. 28The energy of a system as a function of time t is given as E t = A 2 - α t , where a = 0.2 s - 1 . The measurement of A has an error of 1.25
  29. 29The dimensional formula for areal velocity is
  30. 30The sides of a rectangle are 7.01 m and 1 . 2 × 10 1 m . Taking the significant figures into account, the area of the rectangle is
  31. 31Position of a body with acceleration a is given by x = k a m t n . Here t is time. Find the dimensions of m and n .
  32. 32The dimensions of resistance are the same as (where h is the Plank's constant and e is the charge)
  33. 33Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circu
  34. 34In the formula, a = 3 b c 2 , a and c have dimensions of electric capacitance and magnetic field intensity respectively. The dimensions of b
  35. 35The focal length of a mirror is given by 1 f = 1 u + 1 v where u and v represent object and image distances respectively. The maximum relati
  36. 36Physical quantity x and y are related as y = 4 t a n x . If at x = π 4 radian error in measurement of x is 2 % then find % error in measurem
  37. 37The viscosity η of a gas depends on the long-range attractive part of the intermolecular force, which varies with molecular separation r acc
  38. 38If unit of length, mass and time each be doubled, the new unit of work done is _____ times the old unit of work
  39. 39The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation of the type f = c m x k y , whe
  40. 40Suppose a quantity can be dimensionally represented in terms M , L and T , that is y = M a L b T c . The quantity mass
  41. 41Dimensional analysis of the equation v e l o c i t y x = p r e s s u r e d i f f e r e n c e 3 / 2 × d e n s i t y - 3 / 2 , gives the value
  42. 42If gravitational constant G , planks constant h and speed of light c considered as fundamental physical quantities then find dimensional for
  43. 43The potential energy of a particle varies with distance x from a fixed origin as U = A x x 2 + B where A and B are constants. The dimensions
  44. 44In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic
  45. 45If velocity, force and time are taken to be fundamental quantities, then the dimensional formula for mass is
  46. 46If the time period ( T ) of vibration of a liquid drop depends on surface tension ( S ) , radius ( r ) of the drop and density ( ρ ) of the
  47. 47In a new system of units, the unit of force is 100 N , unit of length is 10 m and unit of time is 100 s . Unit of mass in this system can be
  48. 48The dimensions of a b , in the equation P = a - t 2 b x , where P is pressure, x is distance and t is time, are
  49. 49If P , Q and R are physical quantities, having different dimensions, which of the following combinations can never be a meaningful quantity?
  50. 50The dimensional formula for the capacitance of a capacitor is

Frequently Asked Questions

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

This chapter includes 92 NTA Abhyas (JEE Main) questions.

2.Are these questions only from NTA Abhyas (JEE Main), or from other exams too?

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

3.What is the difficulty level of Units and Dimensions questions in NTA Abhyas (JEE Main)?

Of the 92 questions analysed for this chapter, 100% are easy, 0% moderate and 0% tough. 2026 had the most, with 0 questions.

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

All of this chapter's questions come from a single topic: Uncategorized.