Calculate the energy of a photon of red light whose wavelength is 6.45 × 10^-7 m.
energy = frequency * Planck's constant
To calculate the energy of a photon of red light, we can use the equation:
E = hc/λ
where E represents energy, h is Planck's constant (6.626 × 10^-34 J∙s), c is the speed of light (3 × 10^8 m/s), and λ is the wavelength of the light.
Substituting the given values:
E = (6.626 × 10^-34 J∙s * 3 × 10^8 m/s) / (6.45 × 10^-7 m)
Now, perform the calculation:
E = (1.9878 × 10^-25 J∙m) / (6.45 × 10^-7 m)
E ≈ 3.08 × 10^-19 J
Therefore, the energy of a photon of red light with a wavelength of 6.45 × 10^-7 m is approximately 3.08 × 10^-19 Joules.
To calculate the energy of a photon, you can use the formula:
E = hf
Where:
E is the energy of the photon
h is Planck's constant (6.626 × 10^-34 J.s)
f is the frequency of the light wave
In order to find the frequency, we can use the equation relating frequency, speed of light, and wavelength:
c = λf
Where:
c is the speed of light (approximately 3.00 × 10^8 m/s)
λ (lambda) is the wavelength of the light wave
To find the frequency, we rearrange the equation:
f = c / λ
Now, let's calculate the frequency of the red light using the given wavelength:
λ = 6.45 × 10^-7 m
f = (3.00 × 10^8 m/s) / (6.45 × 10^-7 m)
f ≈ 4.65 × 10^14 Hz
Now that we have the frequency, we can calculate the energy of the photon:
E = (6.626 × 10^-34 J.s) × (4.65 × 10^14 Hz)
E ≈ 3.08 × 10^-19 J
Therefore, the energy of a photon of red light with a wavelength of 6.45 × 10^-7 m is approximately 3.08 × 10^-19 joules (J).