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Noise with double-sided power spectral density of $\mathrm{K}$ over all frequencies is passed through a $\text{RC}$ low pass filter with $3 \mathrm{~dB}$ cut-off frequency of $f_{c}$. The noise power at the filter output is

  1. $\mathrm{K}$
  2. $\mathrm{K} f_{c}$
  3. $\mathrm{K} \pi f_{c}$
  4. $\infty$
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