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

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

JEE MainJEE Main 2023Physical World, Units and Measurements

Solution:

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