This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 79 The proton energy with the same speed as a 10MeV alpha particle is, thus, Ep = Ea/4 = 2.5 MeV. Then from rule 3 on page 196 for particles of the same speed in the same medium, we have
Ra(lO MeV) Rp(2.5 MeV) ma z~ 14 ~~  ~! 2
mp ZQ = 1, Thus the range of the alpha particle is RCt(lOMeV) = n,;(2.5 MeV) = 0.00567 cm (from part (b). 15. Estimate the range of a IOMeV tritium nucleus in air. Solution:
First find the kinetic energy of a proton with the same speed as a IOMeV triton. Classical mechanics,appropriate for these energies,gives
= Et Ep (1/2)mpv;
(1/2)mtvt 2 = = mt mp . 3 1 The proton energy with the same speed as a laMeV triton is, thus, Ep = Et/3 = 3.333 MeV. Now find the range in air of a 3.333MeV proton using the empirical formula of Eq. (7.47) and the data in Table 7.2. With x = IOglO .333 = 0.5229 3
pRp(3.333 MeV) = 102.5207+1,3729:1:+0,21045:1:2 0.01798 gfcm2, = For air at STP p = 0.0012 gfcm3, and hence Rp(3.333 MeV) = 14.98 cm. Finally, we use rule 3 on page 196 for the range of different charged particles of the same speed in the samemedium: range of the triton is then Rt(lO MeV) = 3Rp(3.333 MeV) = 44.9 cm. July 24, 2002 The ...
View
Full
Document
 Spring '06
 CADY

Click to edit the document details