p39_079 - 79. (a) The transmission coecient T for a...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
79. (a) The transmission coefficient T for a particle of mass m and energy E that is incident on a barrier of height U and width L is given by T = e 2 kL , where k = r 8 π 2 m ( U E ) h 2 . For the proton, k = s 8 π 2 (1 . 6726 × 10 27 kg)(10 MeV 3 . 0 MeV)(1 . 6022 × 10 13 J / MeV) (6 . 6261 × 10 34 J · s) 2 =5 . 8082 × 10 14 m 1 , kL =(5 . 8082 × 10 14 m 1 )(10 × 10 15 m) = 5 . 8082, and T = e 2 × 5 . 8082 =9 . 02 × 10 6 . The value of k was computed to a greater number of signi±cant digits than usual because an exponential is quite sensitive to the value of the exponent. The mass of a deuteron is 2 . 0141 u = 3 . 3454 × 10 27 kg, so k = s 8 π 2 (3 . 3454 × 10 27 kg)(10 MeV 3 . 0 MeV)(1 . 6022 × 10 13 J / MeV) (6 . 6261 × 10 34 J · s) 2 =8 . 2143 × 10 14 m 1 , =(8 . 2143 × 10 14 m 1 )(10 × 10
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online