Question

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.

Answer 1

λ = 4.383×10⁻⁷ m

Step-by-step 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