None
0 1-0094 50 •9987 5 1-0054 55 •9992 10 1-0027 60 1-0000 15 1-0011 65 1-0008 20 1-0000 70 1-0016 25 •9992 75 1-0024 30 •9987 80 1-0033 35 .9983 85 1-0043 40 •9982 90 1-0053 45 •9983 95 1-0063 100 1-0074 TABLE XXII. Refractive Indices for Sodium Light (A = 589/x,/u). Substance. Temperature. Refractive Index. Fluorspar Iceland spar .... Quartz 18° 18 18 1 '4339 1-6584 ordinary. 1*4864 extraordinary. 1*5442 ordinary. Kock-salt Water 18 20 1'5533 extraordinary. 1-5443 1-3329 Carbon bisulphide .. Benzene Ethyl alcohol ... 20 21-6 20 1-6277 1-5004 1-3617 APPENDIX 615 TABLE XXIII. Wave-lengths. The following wave-lengths are in air at a temperature of 15° C. and a pressure of 760 mm. : — Substance. How caused to Emit Light. Wave-length in 10- 8 cm. Colour. Sodium .... Bunsen flame 58902 Orange. 5896-2 M Potassium .... >» 7668-5 Red. 7701-9 ?> 4044-3 Violet. 4047-4 Lithium .... »> >? 6708-2 Red. 6103-8 Orange. Thallium .. » 5> 5350-7 Green. Strontium .... 4607-5 Blue. Calcium . . .. 4226-9 Rubidium .... 55 V 4202-0 Violet. 4215-7 j? Hydrogen .... Vacuum tube .65630 Red. 4861-5>- Blue-green. 4340-7 Violet. Helium .... .5 7065-2 Red. 6678-1. 5875-6 Yellow. 5015-7 Green. 4921-9 Blue. 4713-2 M 4471-5 Violet. Mercury .. Mercury lamp 6232-0 Red. 5790-7 Yellow. 5769-6 5> 5460-7 Green. 4959-7 Green-blue. 4916-4 Blue. 4358-3 • • 4078-1 Violet. 4046-8 Cadmium .... Vacuum tube 6438-5 Red. 5085-8 Green. 4799-9 Blue. Zinc 6362-3 Red. 4810-5 Blue. 4722-2 M 46801 » 616 APPENDIX TABLE XXIV. Correction to Scale Readings when a Mirror and Scale is used to Measure a Rotation. If d is the deflection read off on a scale at a distance D, and 0 is the angle through which the mirror has turned, then we have to a first approximation In the following table are given for values of d/D between "01 and *2 a quantity 8, such that to within terms in d5/IP, we have unction. d/D='Ql •02 -•03 •04 •05 •06 •07 -08 •09 •10 e •00003 1 •00013 '00030 •00053 •00083 •00120 •00163 •00212 •00269 •00331 Jin«. •00004 •00015 •00034 •00060 •00094 •00135 •00184 •00239 •00302 •00373 Jin 0/2 •00003 •00014 •00031 •00055 •00086 •00124 •00168 •00219 •00277 •00342 L'an.0. •00002 •00010 •00022 •00040 •00062 •00090 •00122 •00160 •00201 •00249 d/D='ll •12 •13 •14 •15 •16 17 •18 •19 •20 e •00400 •0047G -00557 •00645 •00740 •00840 •00946 •01059 •01177 •01301 line. •00450 •00535 •00627 •00726 •00832 •00944 •01064 •01190 •01323 •01461 Sin 8/2 •00413 •00491 •00575 •00666 •00763 •00867 •00976 •01092 •01214 •01341 Fan0. •00300 •00357 •00418 •00485 •00556 •00632 •00712 •00797 •00886 •00980 APPENDIX 61 TABLE XXV. Conductivity of Electrolytes. In the table p is the weight . of the anhydrous electrolyte in 100 grams of the solution, m is the number of gram molecules of the electrolyte in a litre of the solution, d is the density of the solution at 18° C., and a- is the conductivity of the solution in ohm -1 centimetre ~l at 18° C. Substance. P m d <rXlO* Substance. P m d trXlO* KC1 5 0-691 1-0308 690 ZnSO4 15 2 169 1-1675 415 10 • 1-427 1-0638 1359 20 3-053 1-2323 468 15 2-208 • 1-0978 2020 25 4-040 1-3045 480 20 3-039 1-1335 2677 30 5-124 1-3788 444 NaCl 5 0-884 1-0345 672 CuS04 5 0-658 1-0531 189 10 1 -830 1-0707 1211 10 1-387 1-1073 320 15 2-843 1-1087 1642 15 2-194 1-1675 421 20 3-924 1-1477 1957 25 5 '085 1-1898 2135 f!rlSO. 0*504 1 -0486 14fi CuCl2 5 10 15 20 25 0-938 1-957 3-059 4-253 5-545 1-0409 1-0852 1-1311 1-1794 1-2305 643 1141 1505 1728 1781 10 15 20 25 30 1-060 1 674 2-354 3-112 3-958 1-1026 1-1607 1-2245 1-2950 1-3725 247 325 388 430 436 30 6-945 1-2841 1658 35 8-468 1-3420 1366 H2SO4 5 1-053 1-0331 2085 10 2-176 1-0673 3915 KN03 5 0-509 1-031 454 15 3-376 1-1036 5432 10 1-051 1-063 839 20 4-655 1-1414 6527 15 1-626 1-097 1186 25 6-019 1-1807 7171 20 2-240 1-113 1505 30 7-468 1-2207 7388 35 9-011 1-2625 7243 40 10-649 1-3056 6800 ZnS04 5 0-651 1-0509 191 45 12-396 1-3508 6164 10 1-371 1-1069 321 50 14-258 1-3984 5405 618 APPENDIX TABLE XXVI. E.M.F. of Clark and Cadmium Cells at Different Temperatures. The values in the following table were calculated by Marck (Drude Ann. (1900), i. p. 617) from the formulae Clarkcell. . . . ^ = 1-4328 - ll-9(«- 15)10- *_0'07(«- 15)210-4, Cadmium cell . . #,= 1-0186 - 38'0(« - 20)10-6 - 0'65(< - 20)210-«, the E.M.F. being expressed in International volts. E.M.F. OF CLARK CELL. Degrees C. Tenths. 0 1 2 3 4 5 6 i 8 9 0° 1-4491 90 89 88 87 86 85 84 83 82 1 81 80 79 78 77 76 75 73 72 71 2 70 69 68 67 66 65 64 63 62 61 3 60 59 58 57 56 55 54 53 52 51 4 50 49 48 47 46 45 44 43 42 41 5 40 39 38 37 36 35 33 32 31 30 6 29 28 27 26 25 24 23 22 20 19 7 18 17 16 15 14 13 12 11 10 09 8 07 06 05 04 03 02 01 00 99 98 9 1-4397 96 94 93 92 91 90 89 88 87 10 86 85 83 82 81 80 79 78 77 75 11 • 74 73 72 71 70 68 67 66 65 64 12 63 61 60 59 58 57 56 55 53 52 13 51 50 49 48 46 45 44 43 42 41 14 40 38 37 36 35 34 33 31 30 29 15 28 27 26 24 23 22 21 19 18 17 16 16 15 13 12 11 10 08 07 06 05 17 04 02 01 00 99 97 96 95 94 92 18 1 -4291 90 89 88 86 85 84 83 81 80 19 79 78 77 75 74 73 72 70 69 68 20 67 65 64 63 62 60 59 58 56 55 21 54 53 51 50 49 47 46 45 ' 43 42 22 41 40 38 37 36 34 33 32 30 29 23 28 27 25 24 23 21 20 19 18 16 24 15 14 12 11 10 08 07 06 05 03 25 02 01 99 98 97 95 94 92 91 90 26 1-4188 87 86 84 83 82 80 79 77 76 27 75 73 72 71 69 68 67 65 64 62 28 61 60 58 57 56 54 53 51 50 49 29 47 46 45 43 42 41 39 38 36 35 30 1-4134 32 31 29 28 27 25 24 22 21 E.M.F. OF CADMIUM CELL. Temperature. E.M.F. Temperature. E.M.F. Temperature. E.M.F. 10° 1-0189 17° 1-0187 24° 1-0184 11* 9 18 7 25 4 12 9 19 6 26 3 13 8 20 6 27 3 14 8 21 6 2S 3 15 8 22 5 29 2 16 7 23 5 APPENDIX 619 TABLE XXVII. — Connection between the Units in the C.G.S. System and the Practical System. (See Watson's "Physics" §§ 539, 540, 541.) Quantity. Name of Unit in C.G.S. System. Dimensions. Name of Unit in Practical System. Value of Practical Unit in C.G.S. System. Length . .. Centimetre L Quadrant 109cm. Mass .... Gram M IO-11 gram. Time .... Second T Second 1 second. Force . . . * Dyne LMT-2 Work . . .. Erg VMT-* Joule IO7 ergs. Power .... Erg per sec. VMT-* Watt IO7 ergs per sec. Resistance .. LT-^ Ohm IO9 cm./sec. Current . .. ^Miz-V-i Ampere IO-1. Quantity . .. zfcrtH Coulomb 10-1. E.M.F L*M*T^ Volt IO8. Magnetic field. Gauss Lr^M^T^I^ None io-10. Magnetic flux density or in- duction Maxwell L~%M^T~II$ None IO-". Inductance .. Centimetre L» Henry IO9. Capacity . .. zr^V Farad Microfarad IO-9. io-15. Ratios of Electrostatic Units to Electromagnetic Units. Unit in Electrostatic System. Value in Electromag- netic Units (c.g.s.).1 Value in Practical Units. Quantity. Dimensions. Resistance . .. IrW 72 IO-9 F2 ohms. Current .... itMiT*** F-1 10 F-1 amperes. Quantity . .. E.M.F LK V F-2 10 F-1 coulombs. IO-8 F volts. 109F-2 farads, or 1015F2 microfarads. Capacity . .. The value of V is 3'OOXlO10. 620 APPENDIX TABLE XXVIII. Substance. Density. Temperature. Hydrogen .... •00009004 0° C. Oxygen .... •0014292 0 Nitrogen .... •0012542 0 Carbon dioxide •0019652 0 Anilin 1-0342 4 Carbon bisulphide 1-2922 0 Carbon tetrachloride. 1-5947 0 Ethyl alcohol 0-7937 15 Methyl alcohol 0-810 0 Benzene .... 0-8799 20 Ether. 0-736 0 Xylene. 0-8903 4 Substance. Density. Aluminium 2-6 Lead . . .-•-.. 11-4 Gold 19-3 Iridium 22-4 Copper 8-9 Nickel 8-9 Platinum 21-5 Sulphur (Rhombic) .... 2-07 Silver 10-5 Bismuth 9-8 Zinc 7'1 Tin 7'3 Iceland spar 2-7 Quartz ...... 2'65 Iron 7-8 Steel 7-6-7-8 Fluorspar ...... 3-2 Ice(0°) •9167 INDEX Absorption hygrometer, 249 Absorption of light, 390 Accumulators, small, 570 Adjustable carbon resistance, 473 Air, density of, 77, 599 Air thermometer, 203 constant pressure, 209 constant volume, 204 reduction of readings of mercury thermometer to, 182, and Table XIX. Algebraical expression, to find an, to represent a series of results, 10 Alternating current met hod of measur- ing self-induction, 548 Alternating current method of measur- ing the resistance of electrolytes, 483 Ammeter, calibration of, 513, 516 Analysis, harmonic, 35 Anderson's method of measuring self- induction, 543 Angle, measurement of, of prism, 290 Apparent expansion of a liquid, 191, 201 Approximate formulae, 597 Area, measurement of, 32 Arithmometer, 29 Aspirator, 249 Atmospheric pressure, measurement of, 155 Ayrton and Perry's secohmmeter, 538 B Balance, 63 — ratio of arms of, 68 Ballistic galvanometer, 518, 520, 522 Ballistic method of measuring- permea- bility, 563 Barometer, 155 — corrections to readings, 157, 603 604, and Table I. Battery resistance, Beetz's method, 476 - Mance's method, 475 Baume, hydrometer scale, 95 Beats of two notes, 277, 281 Beckmann's apparatus for measuring the boiling point, 264 apparatus for measuring the freezing point, 258 thermometer, 262 Beetz's method of measuring the re- sistance of a cell, 476 Berthelot's method of measuring latent heat, 237 Biprism, Fresnel's, 316, 320 Bird call for producing high note, 286 Brasheur's method of silvering o-lass 590 Bunsen photometer, 383 Bunsen's ice calorimeter, 230 Buoyancy, correction for, 76, 79, 601 Burette, calibration of, 97 C Cable, measurement of insulation re- sistance of, 461 Cadmium cell, 487 - E.M.F. of, 618 Calculating machines, 29 Calibration of ammeter, 513, 516 — of a Callendar and Griffiths bridge, — of a dial-pattern Wheatstone's bridge, 452 — of a spectroscope, 311, 312 - of a wire, 437, 440, 441 — of burette, 97 — of tube of thermometer, 162 Callendar and Griffiths pattern Wheat- stone's bridge, 455 Calorimeter, 214 Calorimetry, 213 Candle-power of incandescent lamp 387 Capacity, absolute measurement of, 533 comparison of, by de Sauty's method, 530 - comparison of, by method of mixture, 531 — comparison of, with ballistic gal- vanometer, 525 621 622 INDEX Capacity of quadrant electrometer, 571 Capillarity, 139 Capillary electrometer, 498 Carbon resistance, adjustable, 473 Carey Foster's method of calibrating a wire, 437 — method of comparing resistances, 442 Cathetometer, 53 Chemical (absorption) hygrometer, 249 Clark cell, E.M.F. of, 493, 618 Clement and Desorme's method of measuring the ratio of the specific heats, 2(57 Clock, determination of rate of, 131, 135 Coincidence, method of, when deter- mining a period, 124 Collimation, adjustment for, 54 Colour-blindness, 394 Colour mixtures, 391 top, 392 Commutator, Pohl's, 426 Cool column, correction of thermometer readings for, 180 Cooling, specific heat by the method of, 224 Comparator, 51 Comparison of thermometers, 174 Comptometer, 32 Condensers, comparison of capacity of, 525, 530, 531, 571 Conductivity for heat, 270, 272 of electrolytes, 475, 617 Copper, deposition of, for current measurement, 512 — voltameter, 512 Corrections to observed quantities, 3 Cross- wires, mounting, 592 Curves, application of, to reduction of observations, 5 drawing, with spline, 9 D Declination, 396 Demagnetisation of iron, 567 Demagnetising factor, 562 Density, 79 correction for buoyancy of air, 79, 601 — of air, 77, Table IV. of ice, 228 - of liquids, 87, 89, 92, 94, 96 of solids, 82, 84, 85 of various substances, 620 Depression of zero in mercury thermo- meters, 182, 185, 611 Depression of freezing point, 258, 261 de Sauty's method of comparing capa- city, 530 Dew point, 247 Dial-pattern Wheatstone's bridge, 450, 452 Differential galvanometer, 469 Diffraction fringes, 322 grating, 314 — through a slit, 335 Dilatometer, volume, 197 weight, 193 Dip, 415 Discharge key, 525 Dispersion, 305 Dividing scales on glass, 586 Dolezalek's method of measuring self- induction, 548 — quadrant electrometer, 569 Double bridge for measuring low resist- ances, 465 E Earth inductor, 527 Electrolytes, conductivity of, 617 — resistance of, 475 Electrometer, capillary, 498 — quadrant, 569 Elliptically polarised light, 378, 380 Emergent column, correction of ther- mometer readings for, 180 E.M.F. Kater's reversible, 128 — simple, 118 Period, determination of, by method of coincidence, 124 measurement of, by eye and ear method, 107 Permeability, 552 by the ballistic method, 563 by the magnetometer method, 553 Photographic lens, test of, 363 Photometers, 383 Photoped, 385 Pigments, luminosity of, 394 Pitch comparison of, of two forks, 281 of tuning fork, 275, 277, 279 Planimeter, 33 Platinum thermometer, 501 Pohl commutator, 426 Polarisation, rotation of the plane of, 370 Potentiometer method of measuring current, 516 Potentiometers, 494 Poynting's polariscope, 373 Prism, measurement of angle of, 290 Pyknometer, 85 Q Quadrant electrometer, 569 capacity of, 571 Quartz fibres, 581 Radius of curvature of mirrors, 352 of curvature with optical lever, 61 — of curvature with spherometer, 46 Rate of clock, 131,135,602 Ratio of specific heats (Clement and Desorme's method), 267 of specific heats from velocity of sound, 286 Rayleigh's method of measuring self- induction, 536 — refractometer, 343 Reduction of barometer readings, 157, and Tables I., X., and XI. Refraction of sun or star, 602 Refractive index by total reflection, 297, 299, 303 — index of gases, 345 index of prism, 295, 302 — index of various substances, 614 Refractometer, Rayleigh's, 343 Regnault's hygrometer, 247 Resistance coils, construction of, 593 •mi i;i PUT. ON TIU: I.VST ivvrr. vixirrn i:r.i.o\v AN iNiiiAi MNF: OF 25 CENTS ' BK A80KHSKD FOR PAII.URK TO RKTl'K-N INK- PHI DATK DUt. THK PKNALTY v\n -K TO BO CKNT8 ON 1 Ml IOUM1H »l 00 ON THK «CVKNTH DAY 21 MAY 4 1940 APR 4 946 19' REC'D LD PM I.DSI-. 