Units And Dimensions Question 9
Question 9 - 31 January - Shift 1
If $R, X_L$ and $X_C$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:
(1) $RX_L X_C$
(2) $\frac{R}{\sqrt{X_L X_C}}$
(3) $\frac{R}{X_L X_C}$
(4) $R \frac{X_L}{X_C}$
Show Answer
Answer: (2)
Solution:
Formula: Dimensional equation
All three have same dimension therefore $\frac{R}{\sqrt{X_L X_C}}$
is dimensionless.
Option 2
