Question

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

• A. $R X_L \quad X_C$
• B. $\frac{R}{\sqrt{X_L X_C}}$
• C. $\frac{R}{X_L X_C}$
• D. $R \frac{X_L}{X_C}$

Answer 1

Answer: (B)

$\frac{R}{\sqrt{X_L X_C}}$

Answer 2

All three have same dimension therefore XL​XC​​R​ is dimensionless.