Determination of Amount of Energy Transferred to Target in Elastic Scattering Calculator

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✖Mass of Incident Particle is the weight of the incident particle that collides with the target nucleus.ⓘ Mass of Incident Particle [m]			+10% -10%
✖Mass of Target Nucleus is the weight of the target nucleus to which the incident particle collides with.ⓘ Mass of Target Nucleus [M]			+10% -10%
✖Angle between Initial and Final Path of Particle refers to the angle θ between the initial and final path of the particle.ⓘ Angle between Initial and Final Path of Particle [θ]			+10% -10%
✖Kinetic Energy of Incident Particle is the amount of the kinetic energy of the incident particle of mass m.ⓘ Kinetic Energy of Incident Particle [E_m]			+10% -10%

✖Kinetic Energy gained by Target Nucleus is the amount of kinetic energy that the target nucleus of mass M gains when collided with a particle of mass m.ⓘ Determination of Amount of Energy Transferred to Target in Elastic Scattering [E_M]

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Formula

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Determination of Amount of Energy Transferred to Target in Elastic Scattering

Formula

E M = (\frac{4 \cdot m \cdot M \cdot {(\cos (θ))}^{2}}{{(m + M)}^{2}}) \cdot E m

Example

0.055441 MeV = (\frac{4 \cdot 1.67E-27 kg \cdot 2.66E-25 kg \cdot {(\cos (12.2 °))}^{2}}{{(1.67E-27 kg + 2.66E-25 kg)}^{2}}) \cdot 2.34 MeV

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Determination of Amount of Energy Transferred to Target in Elastic Scattering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy gained by Target Nucleus = ((4*Mass of Incident Particle*Mass of Target Nucleus*(cos(Angle between Initial and Final Path of Particle))^2)/(Mass of Incident Particle+Mass of Target Nucleus)^2)*Kinetic Energy of Incident Particle
E_M = ((4*m*M*(cos(θ))^2)/(m+M)^2)*E_m
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Kinetic Energy gained by Target Nucleus - (Measured in Joule) - Kinetic Energy gained by Target Nucleus is the amount of kinetic energy that the target nucleus of mass M gains when collided with a particle of mass m.
Mass of Incident Particle - (Measured in Kilogram) - Mass of Incident Particle is the weight of the incident particle that collides with the target nucleus.
Mass of Target Nucleus - (Measured in Kilogram) - Mass of Target Nucleus is the weight of the target nucleus to which the incident particle collides with.
Angle between Initial and Final Path of Particle - (Measured in Radian) - Angle between Initial and Final Path of Particle refers to the angle θ between the initial and final path of the particle.
Kinetic Energy of Incident Particle - (Measured in Joule) - Kinetic Energy of Incident Particle is the amount of the kinetic energy of the incident particle of mass m.

STEP 1: Convert Input(s) to Base Unit

Mass of Incident Particle: 1.67E-27 Kilogram --> 1.67E-27 Kilogram No Conversion Required
Mass of Target Nucleus: 2.66E-25 Kilogram --> 2.66E-25 Kilogram No Conversion Required
Angle between Initial and Final Path of Particle: 12.2 Degree --> 0.212930168743268 Radian (Check conversion here)
Kinetic Energy of Incident Particle: 2.34 Megaelectron-Volt --> 3.74909495220002E-13 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_M = ((4*m*M*(cos(θ))^2)/(m+M)^2)*E_m --> ((4*1.67E-27*2.66E-25*(cos(0.212930168743268))^2)/(1.67E-27+2.66E-25)^2)*3.74909495220002E-13

Evaluating ... ...

E_M = 8.8826783288639E-15

STEP 3: Convert Result to Output's Unit

8.8826783288639E-15 Joule -->0.0554412933109212 Megaelectron-Volt (Check conversion here)

FINAL ANSWER

0.0554412933109212 ≈ 0.055441 Megaelectron-Volt <-- Kinetic Energy gained by Target Nucleus

(Calculation completed in 00.004 seconds)

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Determination of Amount of Energy Transferred to Target in Elastic Scattering Formula

What is Elastic Scattering?

Elastic scattering is a form of particle scattering in scattering theory, nuclear physics and particle physics. In this process, the kinetic energy of a particle is conserved in the center-of-mass frame, but its direction of propagation is modified (by interaction with other particles and/or potentials) meaning the two particles in the collision do not lose energy. Furthermore, while the particle's kinetic energy in the center-of-mass frame is constant, its energy in the lab frame is not. Generally, elastic scattering describes a process in which the total kinetic energy of the system is conserved. During elastic scattering of high-energy subatomic particles, linear energy transfer (LET) takes place until the incident particle's energy and speed has been reduced to the same as its surroundings, at which point the particle is "stopped".

How to Calculate Determination of Amount of Energy Transferred to Target in Elastic Scattering?

Determination of Amount of Energy Transferred to Target in Elastic Scattering calculator uses Kinetic Energy gained by Target Nucleus = ((4*Mass of Incident Particle*Mass of Target Nucleus*(cos(Angle between Initial and Final Path of Particle))^2)/(Mass of Incident Particle+Mass of Target Nucleus)^2)*Kinetic Energy of Incident Particle to calculate the Kinetic Energy gained by Target Nucleus, The Determination of Amount of Energy Transferred to Target in Elastic Scattering formula is defined as the type of collision in which the kinetic energy of the incident particle which collides with the target molecule, gets transferred to the target nucleus, which in turn breaks into smaller fragments. Kinetic Energy gained by Target Nucleus is denoted by E_M symbol.

How to calculate Determination of Amount of Energy Transferred to Target in Elastic Scattering using this online calculator? To use this online calculator for Determination of Amount of Energy Transferred to Target in Elastic Scattering, enter Mass of Incident Particle (m), Mass of Target Nucleus (M), Angle between Initial and Final Path of Particle (θ) & Kinetic Energy of Incident Particle (E_m) and hit the calculate button. Here is how the Determination of Amount of Energy Transferred to Target in Elastic Scattering calculation can be explained with given input values -> 3.5E+11 = ((4*1.67E-27*2.66E-25*(cos(0.212930168743268))^2)/(1.67E-27+2.66E-25)^2)*3.74909495220002E-13.

FAQ

What is Determination of Amount of Energy Transferred to Target in Elastic Scattering?

The Determination of Amount of Energy Transferred to Target in Elastic Scattering formula is defined as the type of collision in which the kinetic energy of the incident particle which collides with the target molecule, gets transferred to the target nucleus, which in turn breaks into smaller fragments and is represented as E_M = ((4*m*M*(cos(θ))^2)/(m+M)^2)*E_m or Kinetic Energy gained by Target Nucleus = ((4*Mass of Incident Particle*Mass of Target Nucleus*(cos(Angle between Initial and Final Path of Particle))^2)/(Mass of Incident Particle+Mass of Target Nucleus)^2)*Kinetic Energy of Incident Particle. Mass of Incident Particle is the weight of the incident particle that collides with the target nucleus, Mass of Target Nucleus is the weight of the target nucleus to which the incident particle collides with, Angle between Initial and Final Path of Particle refers to the angle θ between the initial and final path of the particle & Kinetic Energy of Incident Particle is the amount of the kinetic energy of the incident particle of mass m.

How to calculate Determination of Amount of Energy Transferred to Target in Elastic Scattering?

The Determination of Amount of Energy Transferred to Target in Elastic Scattering formula is defined as the type of collision in which the kinetic energy of the incident particle which collides with the target molecule, gets transferred to the target nucleus, which in turn breaks into smaller fragments is calculated using Kinetic Energy gained by Target Nucleus = ((4*Mass of Incident Particle*Mass of Target Nucleus*(cos(Angle between Initial and Final Path of Particle))^2)/(Mass of Incident Particle+Mass of Target Nucleus)^2)*Kinetic Energy of Incident Particle. To calculate Determination of Amount of Energy Transferred to Target in Elastic Scattering, you need Mass of Incident Particle (m), Mass of Target Nucleus (M), Angle between Initial and Final Path of Particle (θ) & Kinetic Energy of Incident Particle (E_m). With our tool, you need to enter the respective value for Mass of Incident Particle, Mass of Target Nucleus, Angle between Initial and Final Path of Particle & Kinetic Energy of Incident Particle 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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