What is the magnitude square function of a normalized Butterworth filter...

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What is the magnitude square function of a normalized Butterworth filter to 1 rad/sec cut-off frequency as

A. $$\frac{1}{{1 + {{\left( \Omega \right)}^{2{\text{N}}}}}}$$

B. $$\frac{1}{{1 + {{\left( {\frac{\Omega }{{{\Omega _{{\text{ C}}}}}}} \right)}^{2{\text{N}}}}}}$$

C. $$\frac{1}{{\sqrt {1 + {{\left( {\frac{\Omega }{{{\Omega _{{\text{ C}}}}}}} \right)}^{2{\text{N}}}}} }}$$

D. $$\frac{1}{{\sqrt {1 - {{\left( {\frac{\Omega }{{{\Omega _{{\text{ C}}}}}}} \right)}^{2{\text{N}}}}} }}$$

Answer: Option A

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