Question

2. An electron is travelling down a long wire, when it encounters a small gap. The probability of the eletron tunneling through this gap is 1/10,000. What will be the proba- bility of tunneling through if: (a) The width of the gap were to be decreased by a factor of 2? (b) A different metal is used in the wire, one whose work function is twice that of the original wire? (c) The experiment was set up in a different universe, where ħ is ten times bigger than it is in our universe?

Answer 1

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4 phe gap were & be cleoualed uweliny Sap Cohen fhe utth P at tn of hen he prolakility UNl be TP / 100 netad cvine p2 2P, ohere she drk denethen e originad Wi 70 P& eBL Ba 2 md P, 1 e + e eP, (1-2) -7 P (PJIRA 1 P.

(P.J' Po P +J /0000 4537894 2.20x10r Ans 453183.1 eth I0 th Since -AL PARLO L Rt Paoe P,- -11 1 fo e/4,--1/h) P. cloti Ps t4:/ P 910 (P.J Pr P. (P,J P

PL=P P. o. j41/10 1000010 Ph O.39 Ans