Question 160: Units , Dimensions and Error Analysis

Question

Which of the following is not a dimensionless quantity?

Accepted Answer

[$\mu$
r
] = 1 as $\mu$
r
= ${\mu  \over {{\mu _m}}}$
[power factor (cos $\phi$)] = 1
${\mu _0} = {{{B_0}} \over H}$ (unit = NA
$-$2
) : Not dimensionless
[$\mu$
0
] = [MLT
$-$2
A
$-$2
]
quality factor $(Q) = {{Energy\,stored} \over {Energy\,dissipated\,per\,cycle}}$
So Q is unitless & dimensionless.

Answer

Relative magnetic permeability ($\mu$
r
)

Answer

Power factor

Answer

Permeability of free space ($\mu$
0
)

Answer

Quality factor

Units , Dimensions and Error Analysis

Which of the following is not a dimensionless quantity?

Choose the correct answer: