Question

If the energy of some light is 3.8 x 10^-17 J, what is the wavelength?

a) 5 x 10^(-8) m
b) 7.9 x 10^(-7) m
c) 2.5 x 10^(-6) m
d) 4.2 x 10^(-8) m

Answer 1

To find the wavelength of light with energy 3.8 x 10^-17 J, use the equation E = hc/λ and rearrange to solve for λ. The wavelength is approximately 1.74 x 10^-6 m.

Step-by-step explanation:

To find the wavelength of light with energy 3.8 x 10^-17 J, we can use the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength.

Rearranging the equation, we get λ = hc/E. Plugging in the given values, we get λ = (6.626 x 10^-34 J*s * 3 x 10^8 m/s) / (3.8 x 10^-17 J).

Simplifying, we get λ ≈ 1.74 x 10^-6 m, which is closest to option c) 2.5 x 10^(-6) m.