Question

What is the wavelength of 7.0-TeV protons? A) 550 nm B) 750 nm C) 5.4x10^-15 m D) 3.2x10^-18 m E) 1.8x10^-19 m

Answer 1

1.776 x 10^-19 m

Step-by-step explanation:

Energy, E = 7 TeV

Let λ be the wavelength.

Energy = h c / λ

Where, h is the Planks,s constant and c be the velocity of light

h = 6.63 x 10-^-34 Js

c = 3 x 10^8 m/s

Convert TeV into J

1 TeV = 1.6 x 10^-7 J

So, E = 7 x 1.6 x 10^-7 = 11.2 x 10^-7 J

11.2 x 10^-7 = (6.63 x 10^-34 x 3 x 10^8) / λ

λ = 1.776 x 10^-19 m