If R , X _ L . and X _ C represent resistance, inductive reactanc… - Vidyadip

MCQ

If $R , X _{ L }$. and $X _{ C }$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:

A
$RX _{ L } X _{ C }$
✓
$\frac{ R }{\sqrt{ X _{ L } X _{ C }}}$
C
$\frac{R}{X_L X_C}$
D
$R \frac{X_L}{X_C}$

✓

Answer

Correct option: B.

$\frac{ R }{\sqrt{ X _{ L } X _{ C }}}$

b
All three have same dimension therefore $\frac{ R }{\sqrt{X_L X_C}}$ is dimensionless.

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