AP Physics 1 Question 49: Answer and Explanation
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4. If T, C, M, and L represent the dimensions of time, charge, mass, and length, respectively, which of the following represents the correct dimensions for the permittivity of free space (ε0)?
- A. T2C2/(ML3)
- B. ML3/(T2C2)
- C. C2M/(T2L2)
- D. T2L2/(C2M)
Correct Answer: A
A Start with the equation for electric force, and then solve for ε0:
Next, substitute in the units for each variable:
Finally, use the letters indicated in the problem for each unit: