The equation for photon energy, e, is e=hcλ where h = 6.626×10−34 j⋅s (planck's constant) and c = 2.99×108 m/s (the speed of light). what is the wavelength, λ, of a photon that has an energy of e = 4.52×10−19 j ? express your answer numerically in meters.

λ = 4.383×10⁻⁷ m

Explanation:

Given data:

h = 6.626 ×10⁻³⁴ j.s

c = 2.99 ×10⁸ m/s

Wavelength = ?

Energy = 4.52×10⁻¹⁹ J

Solution:

E = h.c/λ

We will rearrange the formula:

λ = h.c/E

Now we will put the values:

λ = 6.626 ×10⁻³⁴ j.s × 2.99 ×10⁸ m/s / 4.52×10⁻¹⁹ J

λ = 19.812×10⁻²⁶ j.m  / 4.52×10⁻¹⁹ J

λ = 4.383×10⁻⁷ m