Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE MainPhysicsUnits and Dimensions

If _E represents electric flux and _B represents magnetic flux, then the dimensional formula of the ratio ( _E _B ) is

Options

  1. A[ L ⁻¹ T ]
  2. B[ M ^0 L ^0 T ^0]
  3. C[ L T ⁻²]
  4. D[ L T ⁻¹]

Correct answer

D. [ L T ⁻¹]

Step-by-step solution

Electric flux is given by _E = EA and magnetic flux is given by _B = BA , where A is the area. The ratio is _E _B = EA BA = E B . We know that the ratio of the magnitude of electric field to magnetic field in an electromagnetic wave is the speed of light, c = E B . Therefore, the dimensions of ( _E _B ) are the same as those of velocity. [ _E _B ] = [ L T ⁻¹] Answer: [ L T ⁻¹]

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 JEE Main PYQs