a photon has 3.3 *10-19 joules of energy. what is the wavelength of this photon?
To find the wavelength of a photon, you can use the equation:
E = hc / λ
Where:
E = energy of the photon (3.3 * 10^-19 J)
h = Planck's constant (6.62607015 × 10^-34 J·s)
c = speed of light in a vacuum (2.998 × 10^8 m/s)
λ = wavelength of the photon (unknown)
Rearranging the equation to solve for wavelength (λ), we have:
λ = hc / E
Substituting the known values, we get:
λ = (6.62607015 × 10^-34 J·s * 2.998 × 10^8 m/s) / (3.3 × 10^-19 J)
Simplifying the expression further:
λ = (19.85009297 × 10^-26 J·m) / (3.3 × 10^-19 J)
Now, divide the numerator by the denominator:
λ = 6.01514963 × 10^-7 m
Therefore, the wavelength of this photon is approximately 6.01514963 * 10^-7 meters.
To find the wavelength of a photon, you can use the equation:
wavelength = speed of light / frequency
or rearranging the equation:
wavelength = (speed of light) * (time period)
However, in order to calculate the wavelength, we need to know either the frequency or the time period. We're given the energy of the photon, but we need more information to directly calculate the frequency or time period.
If we have the frequency, we can calculate the wavelength using the equation:
frequency = energy / Planck's constant
where Planck's constant (h) is approximately 6.626 x 10^-34 J·s.
So, if you have the frequency or any additional information, please provide it so that we can calculate the wavelength of the given photon accurately.
E = hc/wavelength.
Substitute and solve for wavelength.