Wave-particle duality of light extends to matter particles by the de Broglie hypothesis. If a electron in free space is in thermal equilibrium with Cosmic Microwave Background (CMB) photons at 2.73K, and assuming electron motion can be modeled as an 'ideal gas particle. (a) What is the electron's de Broglie wavelength? (me = 9.11 x 10-31 kg) and (3/2) kBT = (1/2) meVavg. (b) What is the corresponding de Broglie frequency? (with v = - ^f) 9. (a) What is the event horizon radius [m] for the sun if it were to collapse to a Schwarzschi black hole? (Maun 1.99 x 1030kg). Would Earth's orbit be altered if this were to occur and why?