How to use this Bohr radius to Planck length Converter π€
Follow these steps to convert given length from the units of Bohr radius to the units of Planck length.
Enter the input Bohr radius value in the text field.
The calculator converts the given Bohr radius into Planck length in realtime β using the conversion formula, and displays under the Planck length label. You do not need to click any button. If the input changes, Planck length value is re-calculated, just like that.
You may copy the resulting Planck length value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
You can also reset the input by clicking on Reset button present below the input field.
What is the Formula to convert Bohr radius to Planck length?
The formula to convert given length from Bohr radius to Planck length is:
Substitute the given value of length in bohr radius, i.e., Length(Bohr radius) in the above formula and simplify the right-hand side value. The resulting value is the length in planck length, i.e., Length(Planck length).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that an electron in a hydrogen atom is found at 2 Bohr radii from the nucleus. Convert this distance from Bohr radii to Planck length.
Answer:
Given:
The length in bohr radius is:
Length(Bohr radius) = 2
Formula:
The formula to convert length from bohr radius to planck length is:
Substitute given weight Length(Bohr radius) = 2 in the above formula.
Length(Planck length) = 2 × 3.27451037363587e+24
Length(Planck length) = 6.54902074727174e+24
Final Answer:
Therefore, 2 b is equal to 6.54902074727174e+24 Planck length.
The length is 6.54902074727174e+24 Planck length, in planck length.
2
Consider that a quantum state calculation places an electron 3.5 Bohr radii away from the nucleus. Convert this distance from Bohr radii to Planck length.
Answer:
Given:
The length in bohr radius is:
Length(Bohr radius) = 3.5
Formula:
The formula to convert length from bohr radius to planck length is:
Therefore, 3.5 b is equal to 1.1460786307725545e+25 Planck length.
The length is 1.1460786307725545e+25 Planck length, in planck length.
Bohr radius to Planck length Conversion Table
The 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+24Planck length
2 b
6.54902074727174e+24Planck length
3 b
9.82353112090761e+24Planck length
4 b
1.309804149454348e+25Planck length
5 b
1.6372551868179351e+25Planck length
6 b
1.964706224181522e+25Planck length
7 b
2.292157261545109e+25Planck length
8 b
2.619608298908696e+25Planck length
9 b
2.947059336272283e+25Planck length
10 b
3.2745103736358702e+25Planck length
20 b
6.5490207472717405e+25Planck length
50 b
1.637255186817935e+26Planck length
100 b
3.27451037363587e+26Planck length
1000 b
3.27451037363587e+27Planck length
10000 b
3.27451037363587e+28Planck length
100000 b
3.27451037363587e+29Planck 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 Γ 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 Γ 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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Bohr radius to Planck length in Length?
The formula to convert Bohr radius to Planck length in Length is:
Bohr radius * 3.27451037363587e+24
2. Is this tool free or paid?
This Length conversion tool, which converts Bohr radius to Planck length, is completely free to use.
3. How do I convert Length from Bohr radius to Planck length?
To convert Length from Bohr radius to Planck length, you can use the following formula:
Bohr radius * 3.27451037363587e+24
For example, if you have a value in Bohr radius, you substitute that value in place of Bohr radius in the above formula, and solve the mathematical expression to get the equivalent value in Planck length.
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