Question

e potential energy barrier of height 6.90 eV and thickness 0.820 nm, at a rate equivalent to a current of 1200 A Units If years Units years a) How many years would you heve to Suppose a beam of 4.90 eV protons strikes a wait (on average) for one proton to be transmitted through the bamier? (b) How long would you have to wait if the beam consisted of electrons rather than protons? (a) N (b) Number t Click if you would like to Show Work for this question: Open Show Work

Answer 1

Because I = dq/dt = d (ne)/dt = e dn/dt = 1200 A h = 1.05 times 10^- 34 J - s q = total charge of beam = ne n = numbers of proton/electrons e = charge on proton/electron = 1.6 times 10^- 9 C dn/dt = number of proton/electron per unit time reaching/striking the potential barrier => dn/dt = 1200/e = 1200/1.6 times 106 - 19 = 12/1.6 times 10^21 = 7.5 times 10^21 mass of electron (me) = 9.1 times 10^- 31 kg a = 0.820 nm mass of proton (m_p) = 1.67 times - 27 kg 0.82 times 10^- 9 m k = 4.90 ev = 4.90 times 1.6 times 10^- 19 J = E V_0 = 6.90 ev = 6.90 times 1.6 times 10^- 19 J For K < v_0 Probability of transmission is T T = [1]