Question

If a color has 2.87x10⁻¹⁹ joules of energy, what is the wavelength?

a) 4.54x10⁻⁷ m
b) 6.96x10⁻⁷ m
c) 2.21x10⁻⁷ m
d) 5.28x10⁻⁷ m

Answer 1

The wavelength of a color with a given energy can be calculated using the equation λ = c/(E/h), where λ is the wavelength, c is the speed of light, E is the energy, and h is Planck's constant. In this case, the wavelength is approximately 4.54x10^-7 m.

Step-by-step explanation:

The energy of a photon is given by the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency. In this case, we are given the energy of the photon (2.87x10-19 J) and we need to find the wavelength. We can rearrange the equation to solve for the wavelength, λ, using λ = c/f, where c is the speed of light.

Plugging in the given values, we have λ = c/(E/h). The speed of light is approximately 3x108 m/s, and Planck's constant is approximately 6.626x10-34 J·s. Substituting these values along with the given energy, we can calculate the wavelength to be approximately 4.54x10-7 m.