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Bộ tài liệu bài tập tham khảo môn vật lý bậc đại học bằng tiếng anh Chapter 39 | 39.1 a X p 6-63 x10 2.37 x 10- kg. m s. p X 2.80 x 10-10 m b K _ 2.37 x 10 -kg.m s 2 3 8 x 10 -18 2m 2 9.11 x 10kg J 19.3 eV. 39.2 X p j2mE 6.63 x 10-J 7.02 x 10-1 m. 72 6.64 x 10-27 kg 4.20 x 106 eV 1.60 x 10-19 J eV x h 39. 3 a Xe ------ mev __66 x XS 1.55x 10-10 9.11 x 10-31 kg 4.70 x 106 ms m. b V mX V9-11x 10- kg i1.55 x 10-10 m 8.46x 10m. p mp e 1.67 x 10-27 kg 39.4 a E C 4.136 x 1 -V s . x 108 m s v. X 0.20 x 10-9 m p1 _ vp b K ---- 2m 2m 6.626 x 10-34 J-s 0.20 x 10-9 m 2 2 9.11 x 10-31 kg 6.0 x 10-18 J 37 eV. Note that the kinetic energy found this way is much smaller than the rest energy so the nonrelativistic approximation is appropriate. v p2 X 2 6.626x 10-34 J.s 0.20x 10 m _ in-22 T C K ----- ------ ---------------------- -------------- 8.3 x 10 J 2m 2m 2 6.64 x 10kg 5.2 meV. Again the nonrelativistic approximation is appropriate. __ . T nh 39.5 a In the Bohr model mv rn . The de Broglie wavelength is 2n X -2 for n 1 r1 a 5.29 x 10-11 m X1 2n 5.29 x 10-11 m 3.32 x 10 m. p mv n This equals the orbit circumference. b n 4 r4 4 2a0 16a0 X4 a0 4X X4 1.33 x 10-9 m. The de Broglie wavelength is a quarter of the circumference of the orbit 2nr4. p2 39.6 a For a nonrelativistic particle K so 2m X p 12Km b 6.63 x 10-34 J. s 2 800eV 1.60 x 10-19 J eV 9.11 x 10-31 Kg 4.34 x 10-11 m. h 39.7 1 - P h mv 6 63 x S 3.90 x IO-5 0.005 kg 340 ms m. We should not expect the bullet to exhibit wavelike properties. 39.8 Combining Equations 37.38 and 37.39 gives p mc y2 -1. a 1 h mc -Jy2 -1 4.43 x 10 12 m. The incorrect nonrelativistic calculation gives 5.05 x 10 12 m. b h mc y2 -1 7.07 x 10 13 m. 39.9 a photon hc x hc 6.626 x 10-34 J s 2.998 x 108 m s 1 so E 20.0 eV 1.602 x 10-19 J eV 62.0 nm electron E p2 2m so p JlmE J2 9.109 x 10-31 kg 20.0 eV 1.602 x 10 J eV 2.416 x 10-24 kg ms 1 h p 0.274 nm b photon E hc 1 7.946 x 10-19 J 4.96 eV electron 1 h p so p h 1 2.650 x 10-27 kg ms E p2 2m 3.856x 10-24 J 2.41 x 10-5 eV c You should use a probe of wavelength approximately 250
