JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
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 \(R \frac{X_L}{X_C}\)
Answer & Solution
Correct Answer
(B) \(\frac{ R }{\sqrt{ X _{ L } X _{ C }}}\)
Step-by-step Solution
Detailed explanation
All three have same dimension therefore \(\frac{ R }{\sqrt{X_L X_C}}\) is dimensionless.
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