Part B. Green light has a frequency of about 6.00 × 1014 s-1. What is the energy of a photon of green light?
Express your answer to three significant figures and include the appropriate units.
Several properties are used to define waves. Every wave has a wavelength, which is the distance from peak to peak or trough to trough. Wavelength, typically given the symbol λ(lowercase Greek "lambda"), is usually measured in meters. Every wave also has a frequency, which is the number of wavelengths that pass a certain point during a given period of time. Frequency, given the symbol ν (lowercase Greek "nu"), is usually measured in inverse seconds (s− 1). Hertz (Hz), another unit of frequency, is equivalent to inverse seconds.
The product of wavelength and frequency is the speed in meters per second (m / s). For light waves, the speed is constant. The speed of light is symbolized by the letter c and is always equal to2.998 × 108 m/s in a vacuum; that is,
c = λν = 2.998×108 m/s
Another term for "light" is electromagnetic radiation, which encompasses not only visible light but also gamma rays, X-rays, UV rays, infrared rays, microwaves, and radio waves. As you could probably guess, these different kinds of radiation are associated with different energy regimes. Gamma rays have the greatest energy, whereas radio waves have the least energy. The energy (measured in joules) of a photon for a particular kind of light wave is equal to its frequency times a constant called Planck's constant, symbolized h:
Ephoton = hν
These two equations can be combined to give an equation that relates energy to wavelength:
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the The Energy of Light concept. You can view video lessons to learn The Energy of Light. Or if you need more The Energy of Light practice, you can also practice The Energy of Light practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Siler's class at OREGONSTATE.