Question

Calculate the wavelength and frequency of an emitted photon of gamma radiation that has energy of 3.02 × 1011 J/mol.

Answer 1

The wavelength is 4.0 * 10^-13 m while the frequency is 7.5 * 10^20 s−1

Using the formula;

E =hf

Where

E = Energy of the photon

f = Frequency of photon

h = Plank's constant = 6.6 * 10^-34 Js

To obtain the energy in Joules;

E = 3.02 × 10^11 J/mol/6.02 * 10^23 mol

= 5 * 10^-13 J

f = E/h

f = 5 * 10^-13 J/6.6 * 10^-34 Js

f = 7.5 * 10^20 s−1

f = c/λ

c = speed of light = 3 * 10^8 m/s

λ = c/f

λ =  3 * 10^8 m/s/7.5 * 10^20 s−1

λ =  4.0 * 10^-13 m

The wavelength is 4.0 * 10^-13 m while the frequency is 7.5 * 10^20 s−1

Learn more: brainly.com/question/2393994