Bond Length given Masses and Radius 2 Calculator

✖Radius of Mass 2 is a distance of mass 2 from the center of mass.ⓘ Radius of Mass 2 [R₂]			+10% -10%
✖Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 [m₁]			+10% -10%
✖Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.ⓘ Mass 2 [m₂]			+10% -10%

✖Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).ⓘ Bond Length given Masses and Radius 2 [L_bond]

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Bond Length given Masses and Radius 2 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bond Length = Radius of Mass 2*(Mass 1+Mass 2)/Mass 1
L_bond = R₂*(m₁+m₂)/m₁
This formula uses 4 Variables

Variables Used

Bond Length - (Measured in Meter) - Bond Length in a diatomic molecule is the distance between center of two molecules(or two masses).
Radius of Mass 2 - (Measured in Meter) - Radius of Mass 2 is a distance of mass 2 from the center of mass.
Mass 1 - (Measured in Kilogram) - Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Mass 2 - (Measured in Kilogram) - Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

STEP 1: Convert Input(s) to Base Unit

Radius of Mass 2: 3 Centimeter --> 0.03 Meter (Check conversion here)
Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_bond = R₂*(m₁+m₂)/m₁ --> 0.03*(14+16)/14

Evaluating ... ...

L_bond = 0.0642857142857143

STEP 3: Convert Result to Output's Unit

0.0642857142857143 Meter -->6.42857142857143 Centimeter (Check conversion here)

FINAL ANSWER

6.42857142857143 ≈ 6.428571 Centimeter <-- Bond Length

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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National Institute of Information Technology (NIIT), Neemrana

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< Bond Length Calculators

Bond Length given Masses and Radius 1

LaTeX Go Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2

Radius 1 of Rotation given Bond Length

LaTeX Go Radius of Mass 1 = Bond Length-Radius of Mass 2

Radius 2 of Rotation given Bond Length

LaTeX Go Radius of Mass 2 = Bond Length-Radius of Mass 1

Bond Length

LaTeX Go Bond Length = Radius of Mass 1+Radius of Mass 2

< Bond length Calculators

Bond Length of Diatomic Molecule in Rotational Spectrum

LaTeX Go Bond Length of Diatomic Molecule = sqrt([hP]/(8*(pi^2)*[c]*Wave Number in Spectroscopy*Reduced Mass))

Bond Length given Masses and Radius 1

LaTeX Go Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2

Bond Length given Masses and Radius 2

LaTeX Go Bond Length = Radius of Mass 2*(Mass 1+Mass 2)/Mass 1

Bond Length

LaTeX Go Bond Length = Radius of Mass 1+Radius of Mass 2

Bond Length given Masses and Radius 2 Formula

LaTeX Go

Bond Length = Radius of Mass 2*(Mass 1+Mass 2)/Mass 1
L_bond = R₂*(m₁+m₂)/m₁

How do we get Bond length in terms of masses and radius 1 ?

Using the concept of reduced mass (M1*R1=M2*R2) and bond length is a sum of both radii (L= R1+ R2). Through simple algebra, the radius can be found in terms of masses and bond length. That is, radius 2 of rotation is mass fraction of body 1 times bond length.
So by this, we obtained the relation of bond length as radius 2 divided by mass fraction of body 1.

How to Calculate Bond Length given Masses and Radius 2?

Bond Length given Masses and Radius 2 calculator uses Bond Length = Radius of Mass 2*(Mass 1+Mass 2)/Mass 1 to calculate the Bond Length, The Bond Length given Masses and Radius 2 formula is defined as distance between two bodies in a diatomic molecule in terms of radius and masses. As radius of 2 is equal to bond length times mass fraction of 1 (i.e. M1/(M1+M2) ). So by that relation bond length can be calculated as radius 2 divided by mass fraction of 1. Bond Length is denoted by L_bond symbol.

How to calculate Bond Length given Masses and Radius 2 using this online calculator? To use this online calculator for Bond Length given Masses and Radius 2, enter Radius of Mass 2 (R₂), Mass 1 (m₁) & Mass 2 (m₂) and hit the calculate button. Here is how the Bond Length given Masses and Radius 2 calculation can be explained with given input values -> 642.8571 = 0.03*(14+16)/14.

FAQ

What is Bond Length given Masses and Radius 2?

The Bond Length given Masses and Radius 2 formula is defined as distance between two bodies in a diatomic molecule in terms of radius and masses. As radius of 2 is equal to bond length times mass fraction of 1 (i.e. M1/(M1+M2) ). So by that relation bond length can be calculated as radius 2 divided by mass fraction of 1 and is represented as L_bond = R₂*(m₁+m₂)/m₁ or Bond Length = Radius of Mass 2*(Mass 1+Mass 2)/Mass 1. Radius of Mass 2 is a distance of mass 2 from the center of mass, Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it & Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

How to calculate Bond Length given Masses and Radius 2?

The Bond Length given Masses and Radius 2 formula is defined as distance between two bodies in a diatomic molecule in terms of radius and masses. As radius of 2 is equal to bond length times mass fraction of 1 (i.e. M1/(M1+M2) ). So by that relation bond length can be calculated as radius 2 divided by mass fraction of 1 is calculated using Bond Length = Radius of Mass 2*(Mass 1+Mass 2)/Mass 1. To calculate Bond Length given Masses and Radius 2, you need Radius of Mass 2 (R₂), Mass 1 (m₁) & Mass 2 (m₂). With our tool, you need to enter the respective value for Radius of Mass 2, Mass 1 & Mass 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bond Length?

In this formula, Bond Length uses Radius of Mass 2, Mass 1 & Mass 2. We can use 2 other way(s) to calculate the same, which is/are as follows -

Bond Length = Radius of Mass 1+Radius of Mass 2
Bond Length = Radius of Mass 1+Radius of Mass 2

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