Q183 / 200 · MHT CET - Medical 2026 (25 April Shift 1) · Physics
Consider the statements on capacitive reactance.
Statement I: As capacitance increases, the capacitive reactance also increases.
Statement II: The capacitive reactance is independent of the source frequency.
Statement I: As capacitance increases, the capacitive reactance also increases.
Statement II: The capacitive reactance is independent of the source frequency.
- Correct answerAStatements I and II are incorrect.
- BStatement I is correct; Statement II is incorrect.
- CStatements I and II are correct.
- DStatement I is incorrect; Statement II is correct.
Solution
The capacitive reactance $X_C$ of a capacitor is given by the formula:
$X_C = \dfrac{1}{\omega C} = \dfrac{1}{2\pi f C}$
where $C$ is the capacitance and $f$ is the frequency of the AC source.
From the formula, it is clear that $X_C$ is inversely proportional to the capacitance $C$. Therefore, as capacitance increases, the capacitive reactance decreases. This makes Statement I incorrect.
Also, $X_C$ is inversely proportional to the source frequency $f$. Therefore, the capacitive reactance depends on the source frequency. This makes Statement II incorrect.
Hence, both Statements I and II are incorrect.
Answer: Statements I and II are incorrect.
$X_C = \dfrac{1}{\omega C} = \dfrac{1}{2\pi f C}$
where $C$ is the capacitance and $f$ is the frequency of the AC source.
From the formula, it is clear that $X_C$ is inversely proportional to the capacitance $C$. Therefore, as capacitance increases, the capacitive reactance decreases. This makes Statement I incorrect.
Also, $X_C$ is inversely proportional to the source frequency $f$. Therefore, the capacitive reactance depends on the source frequency. This makes Statement II incorrect.
Hence, both Statements I and II are incorrect.
Answer: Statements I and II are incorrect.
Hence, the correct answer is option: 'A'.