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Mathematical Constants

Intriguing, ubiquitous, and at times mysterious, numerical constants set the allowable limits for all universal phenomena. Whether your questions involves π, Avogadro's number, Planck's constant, the atomic mass unit, or any of the other multitudes of immutable numbers used in science, this is the category where they should be asked.

2,332 Questions

What does planck's constant represent?

The ratio of a photon's energy to its frequency.

Anwer2: Planck's Constant represents the Photon Potential Energy and more!

Planck's Energy E= hf=hc/r = zQ2c/r = WQc/r is the key to Planck's constant.

Here Planck's Constant represents the Photon Charge, h= zQ2 =QW.

Q is Photon Electric Charge and W is the Photon Magnetic Charge in Webers and z is the free space resistance , 375 Ohms.

Planck's Constant h = zQ2, where z is the free space resistance and Q is the Photon Electric Charge. The free space resistance is 375 Ohms. The free space resistance and Planck's Constant are related; z=W/Q and h=WQ. W and Q are the fundamental constants of Quantum Theory. Knowing both z and h the values of W and Q can be found. W = 500 E-18 Webers(volt seconds) and Q= 4/3 E-18 Coulombs.

The Photon Charge Q is related to the Fine Structure Constant Alpha:

Alpha = e2z/2h = 1/2 (e/Q)2 = 7.2E-3 where e is the electron charge.

The Fine Structure Constant relates the Photon Charge to the Electron Charge.

The Photon Charge has the same charge as 2 U quarks 2x2/3 and is 8 1/3 electrons.

Planck's constant times c the speed of light, hc, represents the fundamental Charge quantity in the Universe, and Potential Charge Energy E= - hc/r and GmM is the fundamental Matter quantity in the Universe and Potential Matter Energy E = -GmM/r.

Are commas important in number system why?

Yes, they are used as separators to make numbers more legible.

For instance it is much easier to read 1,000,000,000 than 1000000000

When you drop a small object is the mass and veloctiy low or high?

Galileo was the first to discover that, when released at the same time, objects with different weights will reach the ground at the same time. This is true because the Earth's gravitation pull is constant. Generally speaking, the velocity of an object will initially be low (zero) and will, given time and distance, increase to reach its terminal velocity. Mass, on the other hand, will remain constant.

How many zeros at the product of in 1 to 100 answer should be 127?

If I understand the question correctly, the answer is 24, not 127.

Dimension of universal gas constant R?

From the Wikipedia: "In SI units... R has the value 8.314 J·K−1·mol−1." That's can also be expressed as J/(K x mol). In other words, energy divided by (temperature x amount of substance).

Is it true that the speed of light in vacuum is the same value regardless of wavelength?

Yes.

No experimental evidence has ever been found that would suggest that any wavelength of light travels at a different speed than any other.

We speak, of course, only about electromagnetic radiation in a vacuum.

What is a composite number with a list?

Composite numbers have more than two factors.

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 152, 153, 154, 155, 156, 158, 159, 160, 161, 162, 164, 165, 166, 168, 169, 170, 171, 172, 174, 175, 176, 177, 178, 180, 182, 183, 184, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, 198, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 224, 225, 226, 228, 230, 231, 232, 234, 235, 236, 237, 238, 240, 242, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 255, 256, 258, 259, 260, 261, 262, 264, 265, 266, 267, 268, 270, 272, 273, 274, 275, 276, 278, 279, 280, 282, 284, 285, 286, 287, 288, 289, 290, 291, 292, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 308, 309, 310, 312, 314, 315, 316, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 332, 333, 334, 335, 336, 338, 339, 340, 341, 342, 343, 344, 345, 346, 348, 350, 351, 352, 354, 355, 356, 357, 358, 360, 361, 362, 363, 364, 365, 366, 368, 369, 370, 371, 372, 374, 375, 376, 377, 378, 380, 381, 382, 384, 385, 386, 387, 388, 390, 391, 392, 393, 394, 395, 396, 398, 399, 400, 402, 403, 404, 405, 406, 407, 408, 410, 411, 412, 413, 414, 415, 416, 417, 418, 420, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 434, 435, 436, 437, 438, 440, 441, 442, 444, 445, 446, 447, 448, 450, 451, 452, 453, 454, 455, 456, 458, 459, 460, 462, 464, 465, 466, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 480, 481, 482, 483, 484, 485, 486, 488, 489, 490, 492, 493, 494, 495, 496, 497, 498, 500, 501, 502, 504, 505, 506, 507, 508, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 522, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 542, 543, 544, 545, 546, 548, 549, 550, 551, 552, 553, 554, 555, 556, 558, 559, 560, 561, 562, 564, 565, 566, 567, 568, 570, 572, 573, 574, 575, 576, 578, 579, 580, 581, 582, 583, 584, 585, 586, 588, 589, 590, 591, 592, 594, 595, 596, 597, 598, 600, 602, 603, 604, 605, 606, 608, 609, 610, 611, 612, 614, 615, 616, 618, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 632, 633, 634, 635, 636, 637, 638, 639, 640, 642, 644, 645, 646, 648, 649, 650, 651, 652, 654, 655, 656, 657, 658, 660, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 674, 675, 676, 678, 679, 680, 681, 682, 684, 685, 686, 687, 688, 689, 690, 692, 693, 694, 695, 696, 697, 698, 699, 700, 702, 703, 704, 705, 706, 707, 708, 710, 711, 712, 713, 714, 715, 716, 717, 718, 720, 721, 722, 723, 724, 725, 726, 728, 729, 730, 731, 732, 734, 735, 736, 737, 738, 740, 741, 742, 744, 745, 746, 747, 748, 749, 750, 752, 753, 754, 755, 756, 758, 759, 760, 762, 763, 764, 765, 766, 767, 768, 770, 771, 772, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 788, 789, 790, 791, 792, 793, 794, 795, 796, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 810, 812, 813, 814, 815, 816, 817, 818, 819, 820, 822, 824, 825, 826, 828, 830, 831, 832, 833, 834, 835, 836, 837, 838, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 854, 855, 856, 858, 860, 861, 862, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 878, 879, 880, 882, 884, 885, 886, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 908, 909, 910, 912, 913, 914, 915, 916, 917, 918, 920, 921, 922, 923, 924, 925, 926, 927, 928, 930, 931, 932, 933, 934, 935, 936, 938, 939, 940, 942, 943, 944, 945, 946, 948, 949, 950, 951, 952, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 968, 969, 970, 972, 973, 974, 975, 976, 978, 979, 980, 981, 982, 984, 985, 986, 987, 988, 989, 990, 992, 993, 994, 995, 996, 998, 999 and 1000 are composite.

What are the first 500 numbers of pi?

3.

14159265358979323846264338327950288419716939937510

58209749445923078164062862089986280348253421170679

82148086513282306647093844609550582231725359408128

48111745028410270193852110555964462294895493038196

44288109756659334461284756482337867831652712019091

45648566923460348610454326648213393607260249141273

72458700660631558817488152092096282925409171536436

78925903600113305305488204665213841469519415116094

33057270365759591953092186117381932611793105118548

07446237996274956735188575272489122793818301194912

What is the constant used in coulomb's law?

In the MKS system of units, the proportionality constant in Coulomb's law is 1/( 4 pi �µ0 )

' �µ0 ' is the electrostatic permittivity of free space.

It does seem unnecessarily complicated. But there are reasons for it, and it all works out.

Answer2:

The constant used in Coulomb's law is one of the most important constants in Physics. It is related to Planck,s Constant, h. The permittivity e0= 1/zc where c is the speed of light and z is the free space impedance, z= w/q ; w is the quantum magnetic charge in webers ,volt-second and q is the quantum electric charge q. Planck's Constant h= qw = 2/3 E-33 and z = 375 ohms.= w/q

The q= 4/3 E-18 Coulomb and w = 500 E-18 volt second.

The quantum electric charge q=4/3 E-18 C x 6.25E18e/C= 25/3 e = (13U1d) in Quarks., U=Up and d=down.

The electron is an rms charge F= -e^2/4pi e0 r^2 = - e^2zc/22pir^2=e^2hc/2q^22pir^2= -alpha ch/2pir^2.

The Fine Structure Constant alpha = 0 .5 (e/q)^2 = .5( .16/4/3) = .5 (.12)^2 = .5 (.0144) = 7.2E-3

F = -ach/2pi r^2 = -vp/r where v=ac = 7.2E-3 300Mm/s = 2.16Mm/s.

What does constant mean in alegbra?

a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

What is constant exceloration?

Not sure what you mean by exceloration.

Constant acceleration is the state when the velocity of an object is changing at the same rate with respect to time.