Bond Length given Reduced Mass Calculator

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖The Reduced Mass is the "effective" inertial mass appearing in the two-body problem. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem.ⓘ Reduced Mass [μ]			+10% -10%

✖Bond Length given Moment of Inertia2 is the distance between center of two molecules(or two masses).ⓘ Bond Length given Reduced Mass [L_bond2]

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Formula

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Bond Length given Reduced Mass

Formula

`"L"_{"bond2"} = sqrt("I"/"μ")`

Example

`"37.5cm"=sqrt("1.125kg·m²"/"8kg")`

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Bond Length given Reduced Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass)
L_bond2 = sqrt(I/μ)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Bond Length given Moment of Inertia2 - (Measured in Meter) - Bond Length given Moment of Inertia2 is the distance between center of two molecules(or two masses).
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Reduced Mass - (Measured in Kilogram) - The Reduced Mass is the "effective" inertial mass appearing in the two-body problem. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Reduced Mass: 8 Kilogram --> 8 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_bond2 = sqrt(I/μ) --> sqrt(1.125/8)

Evaluating ... ...

L_bond2 = 0.375

STEP 3: Convert Result to Output's Unit

0.375 Meter -->37.5 Centimeter (Check conversion here)

FINAL ANSWER

37.5 Centimeter <-- Bond Length given Moment of Inertia2

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 8 Bond Length Calculators

Bond Length given Moment of Inertia

Go Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2)))

Bond Length of Diatomic Molecule in Rotational Spectrum

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

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

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

Bond Length given Reduced Mass

Go Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass)

Radius 1 of Rotation given Bond Length

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

Radius 2 of Rotation given Bond Length

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

Bond Length

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

< 8 Bond length Calculators

Bond Length given Moment of Inertia

Go Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2)))

Bond Length of Diatomic Molecule in Rotational Spectrum

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

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

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

Bond Length given Reduced Mass

Go Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass)

Radius 1 of Rotation given Bond Length

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

Radius 2 of Rotation given Bond Length

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

Bond Length

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

Bond Length given Reduced Mass Formula

Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass)
L_bond2 = sqrt(I/μ)

How to get bond length using reduced mass?

Bond length is distance between two bodies in a diatomic molecule in terms of reduced mass. As we know moment of inertia is product of reduced mass and square of bond length. Numerically written as μ*(l^2). Thus we can get bond length from this formula.

How to Calculate Bond Length given Reduced Mass?

Bond Length given Reduced Mass calculator uses Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass) to calculate the Bond Length given Moment of Inertia2, The Bond length given reduced mass formula is defined as distance between two bodies in a diatomic molecule in terms of reduced mass. Basically a rearranged equation of moment of inertia in terms of reduced mass. Bond Length given Moment of Inertia2 is denoted by L_bond2 symbol.

How to calculate Bond Length given Reduced Mass using this online calculator? To use this online calculator for Bond Length given Reduced Mass, enter Moment of Inertia (I) & Reduced Mass (μ) and hit the calculate button. Here is how the Bond Length given Reduced Mass calculation can be explained with given input values -> 3750 = sqrt(1.125/8).

FAQ

What is Bond Length given Reduced Mass?

The Bond length given reduced mass formula is defined as distance between two bodies in a diatomic molecule in terms of reduced mass. Basically a rearranged equation of moment of inertia in terms of reduced mass and is represented as L_bond2 = sqrt(I/μ) or Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass). Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & The Reduced Mass is the "effective" inertial mass appearing in the two-body problem. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem.

How to calculate Bond Length given Reduced Mass?

The Bond length given reduced mass formula is defined as distance between two bodies in a diatomic molecule in terms of reduced mass. Basically a rearranged equation of moment of inertia in terms of reduced mass is calculated using Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass). To calculate Bond Length given Reduced Mass, you need Moment of Inertia (I) & Reduced Mass (μ). With our tool, you need to enter the respective value for Moment of Inertia & Reduced Mass 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 given Moment of Inertia2?

In this formula, Bond Length given Moment of Inertia2 uses Moment of Inertia & Reduced Mass. We can use 2 other way(s) to calculate the same, which is/are as follows -

Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2)))
Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2)))

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