Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020PhysicsUnits and DimensionsPractice

If force F is related with distance x and time t as F = A x + B t 2 , the dimensions of A B is

Options

  1. AM 0 L - 1 / 2 T
  2. BM L - 1 / 2 T - 2
  3. CM 0 L - 1 / 2 T 2
  4. DM 0 L T – 2

Correct answer

C. M 0 L - 1 / 2 T 2

Step-by-step solution

All terms of an equation must have same dimensions M L T – 2 = A L 1 2 = B T 2 A = M L T - 2 L B = M L T - 2 T 2

Practice Units and Dimensions on Quantrex Academy →

More from Units and Dimensions

In a new system of units, the units of mass, length, time and current are 5 kg, 5 m, 5 s and 5 A, respectively. If ₀ and ₀ are the permeability and permittivity of free space, resp 2026A new unit ( ) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of units if light takes 6 min. 40 s 2026Consider the equation H = x^p ^q E^r t^s , where H= magnetic field; E= electric field, = permittivity, x= distance, t= time. The values of p, q, r and s respectively are: 2026The percentage error in the calculated volume of a sphere, if there is 2 % error in its diameter measurement, is __________. 2026Match List - I with List - II. List - I List - II A. Boltzmann constant I. [M⁻¹L^3T⁻²] B. Stefan's constant II. [ML^2T⁻¹] C. Planck's constant III. [ML^2T⁻²K⁻¹] D. Gravitational co 2026The potential energy of a particle changes with distance x from a fixed origin as V = A x x + B , where A and B are constant with appropriate dimensions. The dimensions of AB are _ 2026Match List-I with List-II. List-I List-II A. Meter (L) I. hc G B. Second (S) II. Gh c^5 C. Kilogram (M) III. K^2L^2c^3 Gh D. Kelvin (K) IV. Gh c^3 where h (Planck's constant), G (g 2026L , C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula ML^2 T⁻⁴ A⁻² corresponds to __________. 2026 Full Units and Dimensions list All NTA Abhyas JEE Main PYQs