Convert Online Unit Length Bohr radius to Planck length
Convert Bohr radius to Planck length
Bohr radius
b Planck length
Planck length
How to use this Bohr radius to Planck length Converter 🤔 Follow these steps to convert given Bohr radius value from Bohr radius units to Planck length units.
Enter the input Bohr radius value in the text field. The given Bohr radius is converted to Planck length in realtime ⌚ using the formula, and displayed under the Planck length label. You may copy the resulting Planck length value using the Copy button. Calculation Calculation will be done after you enter a valid input.
Bohr radius to Planck length Conversion TableThe following table gives some of the most used conversions from Bohr radius to Planck length.
Bohr radius (b ) Planck length (Planck length ) 0 b 0 Planck length 1 b 3.27451037363587e+24 Planck length 2 b 6.54902074727174e+24 Planck length 3 b 9.82353112090761e+24 Planck length 4 b 1.309804149454348e+25 Planck length 5 b 1.6372551868179351e+25 Planck length 6 b 1.964706224181522e+25 Planck length 7 b 2.292157261545109e+25 Planck length 8 b 2.619608298908696e+25 Planck length 9 b 2.947059336272283e+25 Planck length 10 b 3.2745103736358702e+25 Planck length 20 b 6.5490207472717405e+25 Planck length 50 b 1.637255186817935e+26 Planck length 100 b 3.27451037363587e+26 Planck length 1000 b 3.27451037363587e+27 Planck length 10000 b 3.27451037363587e+28 Planck length 100000 b 3.27451037363587e+29 Planck length
Bohr radius The Bohr radius is a fundamental unit of length used in atomic physics to describe the size of the ground state orbit of an electron around a proton in a hydrogen atom. One Bohr radius is approximately 5.29177 × 10^(-11) meters or about 0.529 angstroms.
The Bohr radius is derived from the Bohr model of the atom, which describes the electron's orbit as quantized and stable. It provides a characteristic length scale for the electron's position in its lowest energy state, known as the ground state.
The Bohr radius is used in atomic and quantum physics to understand the size of atoms, atomic orbitals, and the fundamental structure of matter. It is a key parameter in the Bohr model and provides insight into the scale of atomic interactions and energy levels.
Planck length The Planck length is a fundamental unit of length in physics, representing the smallest measurable distance in the universe. One Planck length is approximately 1.616 × 10^(-35) meters.
The Planck length is defined based on fundamental physical constants, including the speed of light, the gravitational constant, and Planck's constant. It represents a theoretical limit below which the concept of distance may not have any physical meaning due to quantum fluctuations and the effects of gravity.
The Planck length is used in theoretical physics to explore the limits of our understanding of space and time, particularly in quantum gravity and theories of quantum mechanics. It provides a scale for studying the fundamental structure of the universe and the interplay between quantum mechanics and gravity.
{
"conversion": "bohr_radius-planck_length",
"x_slug": "bohr_radius",
"y_slug": "planck_length",
"x": "b",
"y": "Planck length",
"x_desc": "Bohr radius",
"y_desc": "Planck length",
"category": "Length",
"symbol": "m",
"formula": "x * 3.27451037363587e+24",
"precision": 16,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that an electron in a hydrogen atom is found at 2 Bohr radii from the nucleus.<br>Convert this distance from Bohr radii to Planck length.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The length in bohr radius is:</p>\n <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert length from bohr radius to planck length is:</p>\n <p class=\"formula step\"><span>Length<sub>(Planck length)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> × 3.27451037363587e+24</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Length<sub>(Bohr radius)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Length<sub>(Planck length)</sub></span> = <span>2</span> × 3.27451037363587e+24</p>\n <p class=\"step\"><span>Length<sub>(Planck length)</sub></span> = 6.54902074727174e+24</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 b</strong> is equal to <strong>6.54902074727174e+24 Planck length</strong>.</p>\n <p>The length is <strong>6.54902074727174e+24 Planck length</strong>, in planck length.</p>\n </div>\n <div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">2</span>\n <h3 class=\"question\">Consider that a quantum state calculation places an electron 3.5 Bohr radii away from the nucleus.<br>Convert this distance from Bohr radii to Planck length.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The length in bohr radius is:</p>\n <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span> = 3.5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert length from bohr radius to planck length is:</p>\n <p class=\"formula step\"><span>Length<sub>(Planck length)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> × 3.27451037363587e+24</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Length<sub>(Bohr radius)</sub> = 3.5</strong> in the above formula.</p>\n <p class=\"step\"><span>Length<sub>(Planck length)</sub></span> = <span>3.5</span> × 3.27451037363587e+24</p>\n <p class=\"step\"><span>Length<sub>(Planck length)</sub></span> = 1.1460786307725545e+25</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>3.5 b</strong> is equal to <strong>1.1460786307725545e+25 Planck length</strong>.</p>\n <p>The length is <strong>1.1460786307725545e+25 Planck length</strong>, in planck length.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Bohr radius</span> to <span class=\"y\">Planck length</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Bohr radius to Planck length.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Bohr radius (<span class=\"unit\">b</span>)</th><th scope=\"column\" role=\"columnheader\">Planck length (<span class=\"unit\">Planck length</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">Planck length</span></td></tr><tr><td>1 <span class=\"unit\">b</span></td><td>3<span>.27451037363587e+24</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>2 <span class=\"unit\">b</span></td><td>6<span>.54902074727174e+24</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>3 <span class=\"unit\">b</span></td><td>9<span>.82353112090761e+24</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>4 <span class=\"unit\">b</span></td><td>1<span>.309804149454348e+25</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>5 <span class=\"unit\">b</span></td><td>1<span>.6372551868179351e+25</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>6 <span class=\"unit\">b</span></td><td>1<span>.964706224181522e+25</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>7 <span class=\"unit\">b</span></td><td>2<span>.292157261545109e+25</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>8 <span class=\"unit\">b</span></td><td>2<span>.619608298908696e+25</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>9 <span class=\"unit\">b</span></td><td>2<span>.947059336272283e+25</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>10 <span class=\"unit\">b</span></td><td>3<span>.2745103736358702e+25</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>20 <span class=\"unit\">b</span></td><td>6<span>.5490207472717405e+25</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>50 <span class=\"unit\">b</span></td><td>1<span>.637255186817935e+26</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>100 <span class=\"unit\">b</span></td><td>3<span>.27451037363587e+26</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>1000 <span class=\"unit\">b</span></td><td>3<span>.27451037363587e+27</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>10000 <span class=\"unit\">b</span></td><td>3<span>.27451037363587e+28</span> <span class=\"unit\">Planck length</span></td></tr><tr><td>100000 <span class=\"unit\">b</span></td><td>3<span>.27451037363587e+29</span> <span class=\"unit\">Planck length</span></td></tr></table>",
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"y_long_desc": "The Planck length is a fundamental unit of length in physics, representing the smallest measurable distance in the universe. One Planck length is approximately 1.616 × 10^(-35) meters. </p><p>The Planck length is defined based on fundamental physical constants, including the speed of light, the gravitational constant, and Planck's constant. It represents a theoretical limit below which the concept of distance may not have any physical meaning due to quantum fluctuations and the effects of gravity.</p><p>The Planck length is used in theoretical physics to explore the limits of our understanding of space and time, particularly in quantum gravity and theories of quantum mechanics. It provides a scale for studying the fundamental structure of the universe and the interplay between quantum mechanics and gravity.",
"x_long_desc": "The Bohr radius is a fundamental unit of length used in atomic physics to describe the size of the ground state orbit of an electron around a proton in a hydrogen atom. One Bohr radius is approximately 5.29177 × 10^(-11) meters or about 0.529 angstroms. </p><p>The Bohr radius is derived from the Bohr model of the atom, which describes the electron's orbit as quantized and stable. It provides a characteristic length scale for the electron's position in its lowest energy state, known as the ground state.</p><p>The Bohr radius is used in atomic and quantum physics to understand the size of atoms, atomic orbitals, and the fundamental structure of matter. It is a key parameter in the Bohr model and provides insight into the scale of atomic interactions and energy levels."
} 
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