Question

Which of the following is not a dimensionless quantity?

विकल्प

• Relative magnetic permeability (µ_r) 

• Power factor 

• Permeability of free space (µ₀) 

• Quality factor

Answer 1

Permeability of free space (µ₀) 

Explanation:

As B = `(mu_0"i")/(2pi"r")`

[µ₀] = `[("B"xx2pi"r")/"I"]`

= `["N"/"Am"xx"m"/"A"]` 

= `["N"/"A"^2]`

= MLT^-2A^-2

Clearly, µ₀ is not a dimensionless quantity.