Question

The blue color of the sky results from the scattering of sunlight by molecules in the air. The blue light has a frequency of about 7.03 × 1014 Hz. Calculate the wavelength (in nm) associated with this radiation, and calculate the energy (in joules) of a single photon associated with this frequency. Enter your answers in scientific notation.

Answer 1

λ = 426.7 nm

E = 4.66 x 10⁻¹⁹ J

Step-by-step explanation:

The equation of frequency is:

f = v / λ

v: velocity

λ: wavelength

λ = v / f

λ = 3 x 10⁸ m.s⁻¹ / 7.03 x 10¹⁴ Hz

λ = 426.7 nm

The energy of a single photon is

E = hf

h: Plank's constant = 6.63 x 10⁻³⁴ m²kgs⁻¹

E = 6.63 x 10⁻³⁴ m²kgs⁻¹ x 7.03 x 10¹⁴ Hz

E = 4.66 x 10⁻¹⁹ J