Understanding the Concepts
* Photon Energy: The energy of a single photon is directly proportional to its frequency. This relationship is described by Planck's equation:
* E = h * f
Where:
* E = Energy of the photon (in Joules)
* h = Planck's constant (approximately 6.63 x 10^-34 Joule-seconds)
* f = Frequency of the light (in Hertz)
Calculations
1. Frequency: You've provided the frequency as 5.00 x 10^13 Hz (note the correct exponent for the frequency).
2. Planck's Constant: Use the value of Planck's constant: h = 6.63 x 10^-34 J·s
3. Calculate Energy: Plug the values into Planck's equation:
* E = (6.63 x 10^-34 J·s) * (5.00 x 10^13 Hz)
* E = 3.315 x 10^-20 Joules
Answer:
The energy contained in a single photon of orange light with a frequency of 5.00 x 10^13 Hz is approximately 3.315 x 10^-20 Joules.