Homework #16 (chapter 46): The Nature of Matter

Exercise 1:

a) λ = h*p^-1 = h*m^-1*v^-1 = 6.63*10^-34 Js * 0.041^-1 kg^-1 * 960 m*s^-1 = 1.7*10^-35 m

b) The wavelength is 10 orders of magnitude smaller then the radius of a nucleus, i. e. no diffraction grating could possibly be constructed.

Exercise 11:

v = 3 v_e

λ/λ_e = 1.813*10^-4

λ = h/p è (m/m_e)*(v/v_e) = λ_e/λ è m = (λ_e/λ)* (v_e/v)*m_e = 1.813^-1*10⁴*3^-1*9.11*10^-31kg = 1.67*10²⁷ kg è The particle could be a neutron.

Exercise 23:

Δx Δp ≥ h*(2π)^-1 è Δp = h*(2π)^-1Δx = 6.63*10^-34 Js*(2π)^-1 (12*10^-12)^-1 m^-1 = 8.8*10^-24 kg*m*s^-1