The standard equation here is E=nhf. E is energy, n is number of photons, h is Planck's Constant, and f is frequency. For a single photon you can get rid of the 'n', so it looks like E=hf. For this problem, you first have to convert the wavelength to frequency. This is done by dividing the speed of the wave per second (i.e., the speed of light), by the wavelength. This is (3*108 m/sec)/(4.60*10-7 m) which simplifies to 6.52*1014/sec. Now all you have to do is multiply the frequency by Planck's constant, which is 6.626068 × 10-34 m2 kg/s. So, (6.626068 × 10-34 m2 kg/s) * (6.52*1014/sec) = 4.3202*10-19 kg m2/s2 or 4.3202*10-19 Joules. If you want proper significant figures, then the answer is 4.3*10-19 Joules.
Note: 4.3x10-19 joules equals 2.7 eV (electron volts)
Using this equation will help you understand what is going on: E=hc/wavelength h and c are constants. As wavelength increases, energy decreases. This is why UV radiation (which has a very small wavelength) has more energy than visible radiation, and this is also why UV radiation causes damage to living things
to find the frequency of a light wave you need to know its wavelength. The frequency is equal to the speed of light (3x10^8 m/s) divided by the wavelength in metres. Alternatively, if you were given the energy of each photon of light in joules you could just divide the energy by plancks constant (6.63x10^-34) to leave you with the frequency in Hz.
First get the wavelength in meters by multiplying Plancks constant (in units of J-sec) times the speed of light (in m/sec) and divided by the energy. Then change to nanometers by multiplying by 1 billion.
I think your confused over the definition of "energy", all electromagnetic waves carry "energy" in the form of photons, photon energy is equal to E=hf (Planck constant x frequency) frequency can be found from f=c (speed of light in a vacuum)/wavelength
Wavelength and frequency are inversely proportional.
The energy of a photon is inversely propotional to its wavelength. The wavelength of a blue photon is less than that of a red photon. That makes the blue photon more energetic. Or how about this? The energy of a photon is directly proportional to its frequency. The frequency of a blue photon is greater than that of a red photon. That makes the blue photon more energetic. The wavelength of a photon is inversely proportional to its frequency. The the longer the wavelength, the lower the frequency. The shorter the wavelength, the higher the frequency.
The energy of a photon of green light with a wavelength of approximately 520 nanometers is about 2.38 electronvolts.
The energy of one photon of light with a wavelength of 445nm is about 2.79 electronvolts. This can be calculated using the equation E = hc/λ, where h is the Planck constant, c is the speed of light, and λ is the wavelength.
The relationship between wavelength and energy per photon is inverse: shorter wavelengths correspond to higher energy photons, according to the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is wavelength.
If the color (frequency, wavelength) of each is the same, then each photon carries the same amount of energy. Three of them carry three times the energy that one of them carries.
The energy of a photon can be calculated using the equation E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength of the light. Plugging in the values for h, c, and λ, the energy of a photon of blue light with a wavelength of 475 nm is approximately 4.16 x 10^-19 joules.
inversely related
The energy increases as the frequency increases.The frequency decreases as the wavelength increases.So, the energy decreases as the wavelength increases.
Color wavelength and photon energy are inversely related. This means that as the wavelength of light decreases and the frequency increases, the energy of the photons also increases. Shorter wavelengths correspond to higher energy photons, such as in the case of ultraviolet light having higher energy than visible light.
The energy of this photon is 3,7351.10e-19 joules.
The wavelength λ of a photon can be calculated using the energy of the photon E and the speed of light c, where λ = c/E. The energy of the photon depends on the emission process that released it.
The energy of a photon is given by the equation E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength. Plugging in the values, the energy of a single photon at a wavelength of 5nm is approximately 2.48 eV.