The product µ₀ε₀ has the same units as: A)(velocity)² B)(velocity)^1/2 C)1/velocity D)1/velocity² E)1/velocity^1/2

Question

Quizplus · Accepted Answer

- The units of µS1U1B10S1U1B0 are are (mass/volume)S1U1B10S1U1B0 which can be written as (mass/volume)(distance/time)S1U1B10S1U1B0.
- The units of velocity are distance/time.
- Therefore, (velocity)S1U1P12S1S1P0 has the same units as (distance/time)S1U1P12S1S1P0 which can be written as 1/(time)(distance)-1/2S1U1P12S1S1P0.
- Multiplying both expressions, we get (µS1U1B10S1U1B0)(velocity)S1U1B0 = (mass/volume)(time)-1/2 which can be written as 1/(velocity)(mass/volume)(time)1/2S1U1P12S1S1P0. 
- Simplifying, we get 1/(velocity)S1U1P12S1S1P0. Thus, the correct choice is D.

The Product µ0ε0 Has the Same Units As

The Product µ₀ε₀ Has the Same Units As