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Astronomical Units to Bohr radius Converter

Enter Astronomical Units

AU

Bohr radius

b

ResetView CalculationCopy

⇅ Switch toBohr radius to Astronomical Units Converter

How to use this Astronomical Units to Bohr radius Converter 🤔

Follow these steps to convert given length from the units of Astronomical Units to the units of Bohr radius.

1. Enter the input Astronomical Units value in the text field.
2. The calculator converts the given Astronomical Units into Bohr radius in realtime ⌚ using the conversion formula, and displays under the Bohr radius label. You do not need to click any button. If the input changes, Bohr radius value is re-calculated, just like that.
3. You may copy the resulting Bohr radius value using the Copy button.
4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Astronomical Units to Bohr radius?

The formula to convert given length from Astronomical Units to Bohr radius is:

Length_{(Bohr radius)} = Length_{(Astronomical Units)} × 2.8269898411236535e+21

Substitute the given value of length in astronomical units, i.e., Length_{(Astronomical Units)} in the above formula and simplify the right-hand side value. The resulting value is the length in bohr radius, i.e., Length_{(Bohr radius)}.

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that the average distance from Earth to the Sun is 1 astronomical unit (AU).
Convert this distance from astronomical units to Bohr radius.

Answer:

Given:

The length in astronomical units is:

Length_{(Astronomical Units)} = 1

Formula:

The formula to convert length from astronomical units to bohr radius is:

Length_{(Bohr radius)} = Length_{(Astronomical Units)} × 2.8269898411236535e+21

Substitution:

Substitute given weight Length_{(Astronomical Units)} = 1 in the above formula.

Length_{(Bohr radius)} = 1 × 2.8269898411236535e+21

Length_{(Bohr radius)} = 2.8269898411236535e+21

Final Answer:

Therefore, 1 AU is equal to 2.8269898411236535e+21 b.

The length is 2.8269898411236535e+21 b, in bohr radius.

2

Consider that the distance from Earth to Mars at its closest approach is approximately 0.5 astronomical units (AU).
Convert this distance from astronomical units to Bohr radius.

Answer:

Given:

The length in astronomical units is:

Length_{(Astronomical Units)} = 0.5

Formula:

The formula to convert length from astronomical units to bohr radius is:

Length_{(Bohr radius)} = Length_{(Astronomical Units)} × 2.8269898411236535e+21

Substitution:

Substitute given weight Length_{(Astronomical Units)} = 0.5 in the above formula.

Length_{(Bohr radius)} = 0.5 × 2.8269898411236535e+21

Length_{(Bohr radius)} = 1.4134949205618267e+21

Final Answer:

Therefore, 0.5 AU is equal to 1.4134949205618267e+21 b.

The length is 1.4134949205618267e+21 b, in bohr radius.

Astronomical Units to Bohr radius Conversion Table

The following table gives some of the most used conversions from Astronomical Units to Bohr radius.

Astronomical Units (AU)	Bohr radius (b)
0 AU	0 b
1 AU	2.8269898411236535e+21 b
2 AU	5.653979682247307e+21 b
3 AU	8.48096952337096e+21 b
4 AU	1.1307959364494614e+22 b
5 AU	1.4134949205618268e+22 b
6 AU	1.696193904674192e+22 b
7 AU	1.9788928887865576e+22 b
8 AU	2.2615918728989228e+22 b
9 AU	2.544290857011288e+22 b
10 AU	2.8269898411236536e+22 b
20 AU	5.653979682247307e+22 b
50 AU	1.4134949205618267e+23 b
100 AU	2.8269898411236534e+23 b
1000 AU	2.8269898411236535e+24 b
10000 AU	2.8269898411236536e+25 b
100000 AU	2.8269898411236535e+26 b

Astronomical Units

An astronomical unit (AU) is a unit of length used in astronomy to measure distances within our solar system. One astronomical unit is equivalent to approximately 149,597,870.7 kilometers or about 92,955,807.3 miles.

The astronomical unit is defined as the mean distance between the Earth and the Sun.

Astronomical units are used to express distances between celestial bodies within the solar system, such as the distances between planets and their orbits. They provide a convenient scale for describing and comparing distances in a way that is more manageable than using kilometers or miles.

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.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Astronomical Units to Bohr radius in Length?

2. Is this tool free or paid?

3. How do I convert Length from Astronomical Units to Bohr radius?

{
  "conversion": "astronomical_unit-bohr_radius",
  "x_slug": "astronomical_unit",
  "y_slug": "bohr_radius",
  "x": "AU",
  "y": "b",
  "x_desc": "Astronomical Units",
  "y_desc": "Bohr radius",
  "category": "Length",
  "symbol": "m",
  "formula": "x * 2.8269898411236535e+21",
  "precision": 16,
  "examples": "<div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">1</span>\n        <h3 class=\"question\">Consider that the average distance from Earth to the Sun is 1 astronomical unit (AU).<br>Convert this distance from astronomical units to Bohr radius.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The length  in astronomical units is:</p>\n        <p class=\"step\"><span>Length<sub>(Astronomical Units)</sub></span>  = 1</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert length from astronomical units to bohr radius is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Bohr radius)</sub></span> = <span>Length<sub>(Astronomical Units)</sub></span>  &times;  2.8269898411236535e+21</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Length<sub>(Astronomical Units)</sub> = 1</strong> in the above formula.</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span> = <span>1</span>  &times;  2.8269898411236535e+21</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span> = 2.8269898411236535e+21</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>1 AU</strong> is equal to <strong>2.8269898411236535e+21 b</strong>.</p>\n        <p>The length  is <strong>2.8269898411236535e+21 b</strong>, in bohr radius.</p>\n        </div>\n      <div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">2</span>\n        <h3 class=\"question\">Consider that the distance from Earth to Mars at its closest approach is approximately 0.5 astronomical units (AU).<br>Convert this distance from astronomical units to Bohr radius.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The length  in astronomical units is:</p>\n        <p class=\"step\"><span>Length<sub>(Astronomical Units)</sub></span>  = 0.5</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert length from astronomical units to bohr radius is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Bohr radius)</sub></span> = <span>Length<sub>(Astronomical Units)</sub></span>  &times;  2.8269898411236535e+21</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Length<sub>(Astronomical Units)</sub> = 0.5</strong> in the above formula.</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span> = <span>0.5</span>  &times;  2.8269898411236535e+21</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span> = 1.4134949205618267e+21</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>0.5 AU</strong> is equal to <strong>1.4134949205618267e+21 b</strong>.</p>\n        <p>The length  is <strong>1.4134949205618267e+21 b</strong>, in bohr radius.</p>\n        </div>\n      ",
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  "table1n": "<h2><span class=\"x\">Astronomical Units</span> to <span class=\"y\">Bohr radius</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Astronomical Units to Bohr radius.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Astronomical Units (<span class=\"unit\">AU</span>)</th><th scope=\"column\" role=\"columnheader\">Bohr radius (<span class=\"unit\">b</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">AU</span></td><td>0 <span class=\"unit\">b</span></td></tr><tr><td>1 <span class=\"unit\">AU</span></td><td>2<span>.8269898411236535e+21</span> <span class=\"unit\">b</span></td></tr><tr><td>2 <span class=\"unit\">AU</span></td><td>5<span>.653979682247307e+21</span> <span class=\"unit\">b</span></td></tr><tr><td>3 <span class=\"unit\">AU</span></td><td>8<span>.48096952337096e+21</span> <span class=\"unit\">b</span></td></tr><tr><td>4 <span class=\"unit\">AU</span></td><td>1<span>.1307959364494614e+22</span> <span class=\"unit\">b</span></td></tr><tr><td>5 <span class=\"unit\">AU</span></td><td>1<span>.4134949205618268e+22</span> <span class=\"unit\">b</span></td></tr><tr><td>6 <span class=\"unit\">AU</span></td><td>1<span>.696193904674192e+22</span> <span class=\"unit\">b</span></td></tr><tr><td>7 <span class=\"unit\">AU</span></td><td>1<span>.9788928887865576e+22</span> <span class=\"unit\">b</span></td></tr><tr><td>8 <span class=\"unit\">AU</span></td><td>2<span>.2615918728989228e+22</span> <span class=\"unit\">b</span></td></tr><tr><td>9 <span class=\"unit\">AU</span></td><td>2<span>.544290857011288e+22</span> <span class=\"unit\">b</span></td></tr><tr><td>10 <span class=\"unit\">AU</span></td><td>2<span>.8269898411236536e+22</span> <span class=\"unit\">b</span></td></tr><tr><td>20 <span class=\"unit\">AU</span></td><td>5<span>.653979682247307e+22</span> <span class=\"unit\">b</span></td></tr><tr><td>50 <span class=\"unit\">AU</span></td><td>1<span>.4134949205618267e+23</span> <span class=\"unit\">b</span></td></tr><tr><td>100 <span class=\"unit\">AU</span></td><td>2<span>.8269898411236534e+23</span> <span class=\"unit\">b</span></td></tr><tr><td>1000 <span class=\"unit\">AU</span></td><td>2<span>.8269898411236535e+24</span> <span class=\"unit\">b</span></td></tr><tr><td>10000 <span class=\"unit\">AU</span></td><td>2<span>.8269898411236536e+25</span> <span class=\"unit\">b</span></td></tr><tr><td>100000 <span class=\"unit\">AU</span></td><td>2<span>.8269898411236535e+26</span> <span class=\"unit\">b</span></td></tr></table>",
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      "earths_polar_radius",
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      "Earth's polar radius"
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      "earths_distance_from_sun",
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      "earth's distance from sun"
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  "x_long_desc": "An astronomical unit (AU) is a unit of length used in astronomy to measure distances within our solar system. One astronomical unit is equivalent to approximately 149,597,870.7 kilometers or about 92,955,807.3 miles. </p><p>The astronomical unit is defined as the mean distance between the Earth and the Sun.</p><p>Astronomical units are used to express distances between celestial bodies within the solar system, such as the distances between planets and their orbits. They provide a convenient scale for describing and comparing distances in a way that is more manageable than using kilometers or miles.",
  "y_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."
}