(a) Is the de Broglie wavelength of an electron in the n = 2 Bohr orbit of hydrogen greater than, less than, or equal to the de Broglie wavelength in the n = 1 Bohr orbit?
(b) Choose the best explanation from among the following:
I. The de Broglie wavelength in the nth state is 2πr > n, where r is proportional to n2. Therefore, the wavelength increases with increasing n, and is greater for n = 2 than for n = 1.
II. The de Broglie wavelength of an electron in the nth state is such that n wavelengths fit around the circumference of the orbit. Therefore, l = 2π >n and the wavelength for n = 2 is less than for n = 1.
III. The de Broglie wavelength depends on the mass of the electron, and that is the same regardless of which state of the hydrogen atom the electron occupies.