Rutherford Scattering Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4
N = κ/(sin(θ/2))^4
This formula uses 1 Functions, 3 Variables
Functions Used
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., sin(Angle)
Variables Used
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.
Rutherford Scattering Constant - Rutherford Scattering Constant is the constant value for scattering experiment.
Scattering Angle - (Measured in Radian) - Scattering Angle is the angle through which a scattered particle or beam is deflected.
STEP 1: Convert Input(s) to Base Unit
Rutherford Scattering Constant: 0.809 --> No Conversion Required
Scattering Angle: 90 Degree --> 1.5707963267946 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = κ/(sin(θ/2))^4 --> 0.809/(sin(1.5707963267946/2))^4
Evaluating ... ...
N = 3.23600000000192
STEP 3: Convert Result to Output's Unit
3.23600000000192 --> No Conversion Required
FINAL ANSWER
3.23600000000192 3.236 <-- Number of Particles Deflected
(Calculation completed in 00.004 seconds)

Credits

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Created by Sangita Kalita
National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur
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National University of Judicial Science (NUJS), Kolkata
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Rutherford Scattering Calculators

Rutherford Scattering
​ LaTeX ​ Go Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4

Rutherford Scattering Formula

​LaTeX ​Go
Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4
N = κ/(sin(θ/2))^4

What is Rutherford's Scattering Experiment?

Rutherford’s experiment consisted of bombarding a very thin foil with monoenergetic alpha (α) particles (doubly ionized helium nuclei). Rutherford found that a small percentage of α particles were deflected as much as 180 degrees. The only way to explain such deflections was to assume that the positive charge and virtually all of the atom’s mass was highly concentrated at the center of the atoms in the foil. Only a high concentration of charge would produce the necessary coulomb force for the observed large angle scattering to occur.

How to Calculate Rutherford Scattering?

Rutherford Scattering calculator uses Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4 to calculate 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 calculate Rutherford Scattering using this online calculator? To use this online calculator for Rutherford Scattering, enter Rutherford Scattering Constant (κ) & Scattering Angle (θ) and hit the calculate button. Here is how the Rutherford Scattering calculation can be explained with given input values -> 3.236 = 0.809/(sin(1.5707963267946/2))^4.

FAQ

What is Rutherford Scattering?
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 and is represented as N = κ/(sin(θ/2))^4 or Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4. Rutherford Scattering Constant is the constant value for scattering experiment & Scattering Angle is the angle through which a scattered particle or beam is deflected.
How to calculate Rutherford Scattering?
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 is calculated using Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4. To calculate Rutherford Scattering, you need Rutherford Scattering Constant (κ) & Scattering Angle (θ). With our tool, you need to enter the respective value for Rutherford Scattering Constant & Scattering Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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