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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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