Question

Ultraviolet radiation falls in the wavelength region of 1.00 × 10^(-8) to 1.00 × 10^(-7) meters.

What is the energy of ultraviolet radiation that has a wavelength of 1.00 × 10^(-8) m?
Energy = 1
kJ/photon

Answer 1

The energy of ultraviolet radiation with a wavelength of 1.00 × 10^-8 m is approximately 1.989 × 10^-15 joules.

Step-by-step explanation:

The energy of ultraviolet radiation can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 × 10^-34 J·s), c is the speed of light (3.00 × 10^8 m/s), and λ is the wavelength. Plugging in the given wavelength of 1.00 × 10^-8 m into the equation, we get:

E = (6.626 × 10^-34 J·s) × (3.00 × 10^8 m/s) / (1.00 × 10^-8 m) = 1.989 × 10^-15 J

Therefore, the energy of ultraviolet radiation with a wavelength of 1.00 × 10^-8 m is approximately 1.989 × 10^-15 joules.