The penetration distance ? in a finite potential well is the distance at which the wave function has decreased to 1/e of the wave function at the classical turning point: The penetration distance can be shown to be the probability of finding the particle beyond the penetration distance is nearly zero.(a) Find ? for an electron having a kinetic energy of 13eV in a potential well with U0 = 20ev.(b) Find ? for a 20.0-MeV proton trapped in a 30.0-MeV-deep potential well.

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$(x = L + n] = ¹ (L) n) 77 ħ √2m (U₁-E)