A) 100/\[\pi \]MHz
B) 1000/\[\pi \]Hz
C) 1/1000 Hz
D) 1000 Hz
Correct Answer: A
Solution :
Reactance \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{2\pi fC}\] or \[f=\frac{1}{2\pi {{X}_{C}}.C}\] Given, \[C=5\mu F,\]\[{{X}_{C}}=\frac{1}{1000}\Omega \] \[\therefore \] \[f=\frac{1}{2\pi \left( \frac{1}{1000} \right)\times 5\times {{10}^{-6}}}\] \[=\frac{1000}{10\pi \times {{10}^{-6}}}=\frac{100\times {{10}^{6}}}{\pi }Hz\] \[=\frac{100}{\pi }MHz\]
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