Questions: 3.12 Mastery Check Schoolo Class Score Detail mpck12plus.schoology.com/assignment/7571672267/assessment Question 1 (1 point) Light of wavelength 5.0 x 10^-7 meters consists of photons have an energy of a. 1.7 x 10^-5 J b. 1.3 x 10^-27 J c. 1.1 x 10^-40 J d. 4.0 x 10^-19 J Question 2 (1 point) Which characteristic of electromagnetic radiation is directly proportional to the energy of a photon? a. path b. period c. frequency d. wavelength Question 3 (1 point)

Solution Steps

To find the energy of a photon, we use the equation: \[ E = \frac{hc}{\lambda} \] where:

• \( h \) is Planck's constant (\( 6.626 \times 10^{-34} \) J·s),
• \( c \) is the speed of light (\( 3.0 \times 10^8 \) m/s),
• \( \lambda \) is the wavelength of the light (\( 5.0 \times 10^{-7} \) m).

\[ E = \frac{(6.626 \times 10^{-34} \text{ J·s}) (3.0 \times 10^8 \text{ m/s})}{5.0 \times 10^{-7} \text{ m}} \]

\[ E = \frac{1.9878 \times 10^{-25} \text{ J·m}}{5.0 \times 10^{-7} \text{ m}} \] \[ E = 3.9756 \times 10^{-19} \text{ J} \]

The closest option to our calculated value is \( 4.0 \times 10^{-19} \) J.

The energy of a photon is directly proportional to its frequency, as given by the equation: \[ E = h \nu \] where \( \nu \) is the frequency.

Final Answer