(Solved): a. What is the energy in \( J \) of a photon that has a frequency of \( 3.915 \times 10^{12} \mathr ...

a. What is the energy in \( J \) of a photon that has a frequency of \( 3.915 \times 10^{12} \mathrm{~Hz} \) ? Use E-format for scientific notation and enter four digits \( \left(1.234 \times 10^{-5}=1.234 \mathrm{E}-5\right) \) Do not enter the unit. b. What is the energy in \( J \) of a photon that has a wavelength of \( 4.896 \times 10^{-4} \mathrm{~m} \) ? Use E-format for scientific notation and enter four digits \( \left(1.234 \times 10^{-5}=1.234 \mathrm{E}-5\right) \) Do not enter the unit. Two important rearrangements of equation (5.1.2a) allow the frequency or wavelength of light to be calculated fre \[ \nu=\frac{E_{\text {photon }}}{h} \] and Example Calculations \( 5.1 .3 \) Determine the frequency in \( \mathrm{Hz} \) and the wavelegth in \( \mathrm{m} \) of a photon with an energy of \( 5.204 \times 10^{-19} \mathrm{~J} \). a. \( y=\frac{5.204 \times 10^{-19} \mathrm{~J}}{6.62607 \times 10^{-34} \mathrm{Js}}=7.854 \times 10^{14} \mathrm{~Hz} \) b. \( \lambda=\frac{\left(6.62607 \times 10^{-34} \mathrm{Js}\right) \times\left(2.99792 \times 10^{8} \mathrm{~m} / \mathrm{s}\right)}{5.204 \times 10^{-19} \mathrm{~J}}=3.817 \times 10^{-7} \mathrm{~m} \) Question 5.1.7 Determine the frequency in \( \mathrm{Hz} \) and the wavelength in \( \mathrm{m} \) of a photon with an energy of \( 3.210 \times 10^{-19} \mathrm{~J} \). Use E-format for scientific notation and enter four digits \( \left(1.234 \times 10^{-5}=1.234 \mathrm{E}-5\right) \). Do not enter the unit. a. \( \nu= \) \( \mathrm{Hz} \) b. \( \lambda= \) m Notice that equation \( (5.1 .2 \mathrm{a}) \) indicates that the energy of a photon, \( E_{\text {photon. }} \) is directly proportional to the frequency of the light \( \left(E_{\text {photon }}\right. \) increases as frequency increases) and inversely proportional to the