Home » Archimedes archive » Archimedes World » AW-1996-07.adf » !Ignotum_Ignotum » !Ignotum/Formulae/Atom
!Ignotum/Formulae/Atom
This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.
Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.
Tape/disk: | Home » Archimedes archive » Archimedes World » AW-1996-07.adf » !Ignotum_Ignotum |
Filename: | !Ignotum/Formulae/Atom |
Read OK: | ✔ |
File size: | 0350 bytes |
Load address: | 0000 |
Exec address: | 0000 |
File contents
# Physics > Atomic and Nuclear dN/dt=-kN For radioactive decay, where: N=number of radioactive particles t=time k=decay constant Note: dN/dt=change in N/change in t N=N0e^(-kt) For radioactive decay, where: N=number of radioactive particles N0=initial number radioactive particles e=2.718.., t=time k=decay constant T=ln2/k For radioactive deacy, where: T=half-life (s) k=decay constant Note: ln2=0.693.. E=mc� Einstein's formula, showing that mass and energy are interchangeable, where: E=energy (J) m=mass (kg) c=speed of light=3�10^8 m/s E=hf For photons, where: E=energy of photon (J) h=Planck constant=6.63�10^-34 Js f=frequency l=h/p For particles, where: l=wavelength h=Planck constant=6.63�10^-34 Js p=momentum of particle
00000000 23 20 50 68 79 73 69 63 73 20 3e 20 41 74 6f 6d |# Physics > Atom| 00000010 69 63 20 61 6e 64 20 4e 75 63 6c 65 61 72 0a 64 |ic and Nuclear.d| 00000020 4e 2f 64 74 3d 2d 6b 4e 0a 46 6f 72 20 72 61 64 |N/dt=-kN.For rad| 00000030 69 6f 61 63 74 69 76 65 20 64 65 63 61 79 2c 20 |ioactive decay, | 00000040 77 68 65 72 65 3a 0a 4e 3d 6e 75 6d 62 65 72 20 |where:.N=number | 00000050 6f 66 20 72 61 64 69 6f 61 63 74 69 76 65 20 70 |of radioactive p| 00000060 61 72 74 69 63 6c 65 73 0a 74 3d 74 69 6d 65 0a |articles.t=time.| 00000070 6b 3d 64 65 63 61 79 20 63 6f 6e 73 74 61 6e 74 |k=decay constant| 00000080 0a 4e 6f 74 65 3a 20 64 4e 2f 64 74 3d 63 68 61 |.Note: dN/dt=cha| 00000090 6e 67 65 20 69 6e 20 4e 2f 63 68 61 6e 67 65 20 |nge in N/change | 000000a0 69 6e 20 74 0a 4e 3d 4e 30 65 5e 28 2d 6b 74 29 |in t.N=N0e^(-kt)| 000000b0 0a 46 6f 72 20 72 61 64 69 6f 61 63 74 69 76 65 |.For radioactive| 000000c0 20 64 65 63 61 79 2c 20 77 68 65 72 65 3a 0a 4e | decay, where:.N| 000000d0 3d 6e 75 6d 62 65 72 20 6f 66 20 72 61 64 69 6f |=number of radio| 000000e0 61 63 74 69 76 65 20 70 61 72 74 69 63 6c 65 73 |active particles| 000000f0 0a 4e 30 3d 69 6e 69 74 69 61 6c 20 6e 75 6d 62 |.N0=initial numb| 00000100 65 72 20 72 61 64 69 6f 61 63 74 69 76 65 20 70 |er radioactive p| 00000110 61 72 74 69 63 6c 65 73 0a 65 3d 32 2e 37 31 38 |articles.e=2.718| 00000120 2e 2e 2c 20 74 3d 74 69 6d 65 0a 6b 3d 64 65 63 |.., t=time.k=dec| 00000130 61 79 20 63 6f 6e 73 74 61 6e 74 0a 54 3d 6c 6e |ay constant.T=ln| 00000140 32 2f 6b 0a 46 6f 72 20 72 61 64 69 6f 61 63 74 |2/k.For radioact| 00000150 69 76 65 20 64 65 61 63 79 2c 20 77 68 65 72 65 |ive deacy, where| 00000160 3a 0a 54 3d 68 61 6c 66 2d 6c 69 66 65 20 28 73 |:.T=half-life (s| 00000170 29 0a 6b 3d 64 65 63 61 79 20 63 6f 6e 73 74 61 |).k=decay consta| 00000180 6e 74 0a 4e 6f 74 65 3a 20 6c 6e 32 3d 30 2e 36 |nt.Note: ln2=0.6| 00000190 39 33 2e 2e 0a 0a 45 3d 6d 63 b2 0a 45 69 6e 73 |93....E=mc..Eins| 000001a0 74 65 69 6e 27 73 20 66 6f 72 6d 75 6c 61 2c 20 |tein's formula, | 000001b0 73 68 6f 77 69 6e 67 20 74 68 61 74 20 6d 61 73 |showing that mas| 000001c0 73 20 61 6e 64 0a 65 6e 65 72 67 79 20 61 72 65 |s and.energy are| 000001d0 20 69 6e 74 65 72 63 68 61 6e 67 65 61 62 6c 65 | interchangeable| 000001e0 2c 20 77 68 65 72 65 3a 0a 45 3d 65 6e 65 72 67 |, where:.E=energ| 000001f0 79 20 28 4a 29 0a 6d 3d 6d 61 73 73 20 28 6b 67 |y (J).m=mass (kg| 00000200 29 0a 63 3d 73 70 65 65 64 20 6f 66 20 6c 69 67 |).c=speed of lig| 00000210 68 74 3d 33 d7 31 30 5e 38 20 6d 2f 73 0a 45 3d |ht=3.10^8 m/s.E=| 00000220 68 66 0a 46 6f 72 20 70 68 6f 74 6f 6e 73 2c 20 |hf.For photons, | 00000230 77 68 65 72 65 3a 0a 45 3d 65 6e 65 72 67 79 20 |where:.E=energy | 00000240 6f 66 20 70 68 6f 74 6f 6e 20 28 4a 29 0a 68 3d |of photon (J).h=| 00000250 50 6c 61 6e 63 6b 20 63 6f 6e 73 74 61 6e 74 3d |Planck constant=| 00000260 36 2e 36 33 d7 31 30 5e 2d 33 34 20 4a 73 0a 66 |6.63.10^-34 Js.f| 00000270 3d 66 72 65 71 75 65 6e 63 79 0a 0a 6c 3d 68 2f |=frequency..l=h/| 00000280 70 0a 46 6f 72 20 70 61 72 74 69 63 6c 65 73 2c |p.For particles,| 00000290 20 77 68 65 72 65 3a 0a 6c 3d 77 61 76 65 6c 65 | where:.l=wavele| 000002a0 6e 67 74 68 0a 68 3d 50 6c 61 6e 63 6b 20 63 6f |ngth.h=Planck co| 000002b0 6e 73 74 61 6e 74 3d 36 2e 36 33 d7 31 30 5e 2d |nstant=6.63.10^-| 000002c0 33 34 20 4a 73 0a 70 3d 6d 6f 6d 65 6e 74 75 6d |34 Js.p=momentum| 000002d0 20 6f 66 20 70 61 72 74 69 63 6c 65 0a 0a 0a 0a | of particle....| 000002e0 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a |................| * 00000350