Question

1. Solve the problems below:

a. What is the accelerating voltage (in kilovolts) of an x-ray tube that produces x rays with a wavelength of 19.9 pm?

b. Consider the energy in eV of an photon of frequency 1.7×1013 Hz. How many of these photons would need to be absorbed simultaneously to overcome a 9.41 eV binding energy and break the molecule apart?

Answer 1

a)

V = 1240 / wavelength

= 1240 / (0.0199)

= 62311.5 V

= 62.3 kV

b)

E = hf/e

= 6.63 x 10^-34 x 1.7 x 10^13 / 1.6 x 10^-19

= 0.07 eV

n = 9.41 / 0.07

= 134 photons

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