If R , X _{ L } . and X _{ C } represent resistance, inductive reactance and capacitive reactance. T

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1.Units, Dimensions and Measurement

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

A

$RX _{ L } X _{ C }$

B

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

C

$\frac{R}{X_L X_C}$

D

$R \frac{X_L}{X_C}$

(JEE MAIN-2023)

Solution

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

Standard 11

Physics

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