a) Calculate the wavelength (in nm) associated with this radiation, and
b) calculate the energy (in joules) of a single photon associated with this frequency.
Step 1
Part A:
Use the speed of light equation to calculate the wavelength corresponding to this frequency.
$x=\lambda \nu$
$\Rightarrow \lambda =\frac{c}{\nu}$
$=\frac{2.998\times {10}^{8}\frac{m}{s}}{7.5\times {10}^{14}{s}^{-1}}$
$=4.0\times {10}^{-7}m$
Determine the wavelength of this photon in units of nanometers:
1. Begin with the wavelength in meters.
2. Use a conversion factor to convert meters into nanometers.
$\lambda =\begin{array}{cc}4.0\times {10}^{-7}\overline{)m}& 1nm\\ & {10}^{-9}\overline{)m}\end{array}$
$=4.0\times {10}^{2}nm$
Step 2
Part B:
Use the equation for the energy of a photon to calculate the energy of this photon
$E=h\nu$
$=(6.626\times {10}^{-34}J\times s)(7.5\times {10}^{14}{s}^{-1})$
$=5.0\times {10}^{-19}J$
B)4.97×10^-19 J
Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for