In the Bohr model for hydrogen an electron in the ground state has orbit radius r and speed v. In the first excited state the electron has orbit radius 4r. What is the speed of the electron in the first excited state?

A.  \(\frac{v}{2}\)

B.  \(\frac{v}{4}\)

C.  \(\frac{v}{8}\)

D.  \(\frac{v}{16}\)

A