Final answer:
A particle of light with a wavelength of 7.0×10−7 m represents red light, and the energy released in a photon of this light is approximately 2.84×10−19 joules.
Step-by-step explanation:
The wavelength of a particle of light (photon) is given as 7.0×10−7 m. This wavelength falls within the range of visible light, which is approximately from 0.4 to 0.7 micrometers (400 - 700 nanometers). The given wavelength of 700 nanometers corresponds to red light, as red light has a wavelength range of approximately 620 to 750 nanometers.
To find the energy of a photon, we use the formula E = h⋅c/λ, where E is the photon energy, h is Planck's constant (6.63×10−34 J⋅s), c is the speed of light in a vacuum (3.00×108 m/s), and λ is the wavelength of the photon. By inserting the values, we get:
E = (6.63×10−34 J⋅s) ⋅ (3.00×108 m/s) / (7.0×10−7 m)
After calculating, the energy E released by a photon of red light with this wavelength is approximately 2.84×10−19 joules.