Calculate the energy of a photon of light with a wavelength of 360 nm?
5.525 exponent -19
To calculate the energy of a photon, you can use the equation:
E = h * c / λ
where:
E is the energy of the photon,
h is Planck's constant (6.626 x 10^(-34) J*s),
c is the speed of light (3.0 x 10^8 m/s),
and λ is the wavelength of the light.
Plugging in the values, we have:
E = (6.626 x 10^(-34) J*s) * (3.0 x 10^8 m/s) / (360 x 10^(-9) m)
Simplifying this equation:
E = (6.626 x 3.0) / (360 x 10^(-9)) x (10^(-34) J*s x 10^8 m/s)
E = 19.878 / (3.6 x 10^(-1) x 10^(-9))
E = 19.878 / 3.6 x 10^(-10)
E = 5.521 x 10^(-8) J
Therefore, the energy of a photon with a wavelength of 360 nm is 5.521 x 10^(-8) Joules.
To calculate the energy of a photon of light, we can use the equation:
Energy (E) = Planck's constant (h) × Speed of light (c) / Wavelength (λ)
Where:
- Planck's constant (h) = 6.62607015 × 10^-34 J·s
- Speed of light (c) = 299,792,458 m/s
- Wavelength (λ) is given as 360 nm (nanometers), which is equal to 3.6 × 10^-7 meters.
First, convert the wavelength from nanometers to meters:
Wavelength (λ) = 3.6 × 10^-7 meters
Now, substitute the given values into the equation:
E = (6.62607015 × 10^-34 J·s) × (299,792,458 m/s) / (3.6 × 10^-7 meters)
Now, calculate the energy:
E ≈ 5.509 × 10^-19 Joules
Therefore, the energy of a photon of light with a wavelength of 360 nm is approximately 5.509 × 10^-19 Joules.