\(P=\cfrac{8^3}{6}{\pi^2}∗f^2∗m_ac^2=1∗\cfrac{4}{3}\pi∗f^3∗m_ac^2\)
should be
\(P=\cfrac{8^3}{6}{\pi^2}∗f^2∗m_ac^2=1∗\cfrac{3}{4\pi}∗f^3∗m_ac^2\)
\(f=\cfrac{4*8^3}{18}\pi^3=3527.83 Hz\) Very dangerous! Do not look into the light, at all. No exposure in anyway.
and
\(f=64*\pi=201.06\,Hz\) is wrong!
Sorry...
