Question

How much energy does a 9 x 10^8m wavelength photon have?

A. 5.96 x 10^-41
B. 2.21 % 10^-18
c. 7.36 10^-27
D. 1.988 x 10^-49 J

Answer 1

2.21 × 10^-18 Joules

Step-by-step explanation:

We are given;

• Wavelength of a photon as 9 × 10^-8 m

We are required to calculate the energy of the wave.

• Energy of a photon is given by the formula;

• E = hf , but f = c/λ

Thus, E = hc/λ

where, h is the plank's constant , 6.626 × 10^-34 J-s , c is the speed of light, 2.998 × 10^8 m/s, and λ is the wavelength.

Therefore;

E = (6.626 × 10^-34 J-s × 2.998 × 10^8 m/s) ÷ 9 × 10^-8 m

= 2.21 × 10^-18 Joules

Thus, the energy of the photon is 2.21 × 10^-18 Joules