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Rutherford Scattering Formula

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Number of Particles Deflected is the number of particles which does not strike the thin gold foil in Rutherford's experiment. Check FAQs

N = \frac{κ}{{(\sin (\frac{θ}{2}))}^{4}}

N - Number of Particles Deflected?κ - Rutherford Scattering Constant?θ - Scattering Angle?

Rutherford Scattering Example

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Here is how the Rutherford Scattering equation looks like with Values.

Here is how the Rutherford Scattering equation looks like with Units.

Here is how the Rutherford Scattering equation looks like.

3.236 = \frac{0.809}{{(\sin (\frac{90}{2}))}^{4}}

3.236 = \frac{0.809}{{(\sin (\frac{90°}{2}))}^{4}}

3.236 = \frac{0.809}{{(\sin (\frac{90}{2}))}^{4}}

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Rutherford Scattering Solution

Follow our step by step solution on how to calculate Rutherford Scattering?

FIRST Step Consider the formula

N = \frac{κ}{{(\sin (\frac{θ}{2}))}^{4}}

Next Step Substitute values of Variables

∴

N = \frac{0.809}{{(\sin (\frac{90°}{2}))}^{4}}

Next Step Convert Units

∴

N = \frac{0.809}{{(\sin (\frac{1.5708rad}{2}))}^{4}}

Next Step Prepare to Evaluate

∴

N = \frac{0.809}{{(\sin (\frac{1.5708}{2}))}^{4}}

Next Step Evaluate

∴

N = 3.23600000000192

LAST Step Rounding Answer

∴

N = 3.236

Rutherford Scattering Formula Elements

Variables

Functions

Number of Particles Deflected

Number of Particles Deflected is the number of particles which does not strike the thin gold foil in Rutherford's experiment.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Particles Deflected

Rutherford Scattering Constant

Rutherford Scattering Constant is the constant value for scattering experiment.

Symbol: κ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rutherford Scattering Constant

Scattering Angle

Scattering Angle is the angle through which a scattered particle or beam is deflected.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Scattering Angle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

How to Evaluate Rutherford Scattering?

Rutherford Scattering evaluator uses Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4 to evaluate the Number of Particles Deflected, The Rutherford Scattering formula is defined as the number of particles that would be deflected by an angle θ due to scattering from fixed nuclei. Number of Particles Deflected is denoted by N symbol.

How to evaluate Rutherford Scattering using this online evaluator? To use this online evaluator for Rutherford Scattering, enter Rutherford Scattering Constant (κ) & Scattering Angle (θ) and hit the calculate button.

FAQs on Rutherford Scattering

What is the formula to find Rutherford Scattering?

The formula of Rutherford Scattering is expressed as Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4. Here is an example- 3.236 = 0.809/(sin(1.5707963267946/2))^4.

How to calculate Rutherford Scattering?

With Rutherford Scattering Constant (κ) & Scattering Angle (θ) we can find Rutherford Scattering using the formula - Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4. This formula also uses Sine (sin) function(s).

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Rutherford Scattering Formula

Rutherford Scattering Example

Rutherford Scattering Solution

Rutherford Scattering Formula Elements

How to Evaluate Rutherford Scattering?

FAQs on Rutherford Scattering

Variable Name