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

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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. Check FAQs

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

E_M - Kinetic Energy gained by Target Nucleus?m - Mass of Incident Particle?M - Mass of Target Nucleus?θ - Angle between Initial and Final Path of Particle?E_m - Kinetic Energy of Incident Particle?

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

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Here is how the Determination of Amount of Energy Transferred to Target in Elastic Scattering equation looks like with Values.

Here is how the Determination of Amount of Energy Transferred to Target in Elastic Scattering equation looks like with Units.

Here is how the Determination of Amount of Energy Transferred to Target in Elastic Scattering equation looks like.

0.0554 = (\frac{4 \cdot 1.7E-27 \cdot 2.7E-25 \cdot {(\cos (12.2))}^{2}}{{(1.7E-27 + 2.7E-25)}^{2}}) \cdot 2.34

0.0554MeV = (\frac{4 \cdot 1.7E-27kg \cdot 2.7E-25kg \cdot {(\cos (12.2°))}^{2}}{{(1.7E-27kg + 2.7E-25kg)}^{2}}) \cdot 2.34MeV

0.0554 = (\frac{4 \cdot 1.7E-27 \cdot 2.7E-25 \cdot {(\cos (12.2))}^{2}}{{(1.7E-27 + 2.7E-25)}^{2}}) \cdot 2.34

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

Follow our step by step solution on how to calculate Determination of Amount of Energy Transferred to Target in Elastic Scattering?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E M = (\frac{4 \cdot 1.7E-27kg \cdot 2.7E-25kg \cdot {(\cos (12.2°))}^{2}}{{(1.7E-27kg + 2.7E-25kg)}^{2}}) \cdot 2.34MeV

Next Step Convert Units

∴

E M = (\frac{4 \cdot 1.7E-27kg \cdot 2.7E-25kg \cdot {(\cos (0.2129rad))}^{2}}{{(1.7E-27kg + 2.7E-25kg)}^{2}}) \cdot 3.7E-13J

Next Step Prepare to Evaluate

∴

E M = (\frac{4 \cdot 1.7E-27 \cdot 2.7E-25 \cdot {(\cos (0.2129))}^{2}}{{(1.7E-27 + 2.7E-25)}^{2}}) \cdot 3.7E-13

Next Step Evaluate

∴

E M = 8.8826783288639E-15J

Next Step Convert to Output's Unit

∴

E M = 0.0554412933109212MeV

LAST Step Rounding Answer

∴

E M = 0.0554MeV

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

Variables

Functions

Kinetic Energy gained by Target Nucleus

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.

Symbol: E_M

Measurement: EnergyUnit: MeV

Note: Value can be positive or negative.

Formulas to find Kinetic Energy gained by Target Nucleus

Mass of Incident Particle

Mass of Incident Particle is the weight of the incident particle that collides with the target nucleus.

Symbol: m

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of Incident Particle

Mass of Target Nucleus

Mass of Target Nucleus is the weight of the target nucleus to which the incident particle collides with.

Symbol: M

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of Target Nucleus

Angle between Initial and Final Path of Particle

Angle between Initial and Final Path of Particle refers to the angle θ between the initial and final path of the particle.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle between Initial and Final Path of Particle

Kinetic Energy of Incident Particle

Kinetic Energy of Incident Particle is the amount of the kinetic energy of the incident particle of mass m.

Symbol: E_m

Measurement: EnergyUnit: MeV

Note: Value can be positive or negative.

Formulas to find Kinetic Energy of Incident Particle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Nuclear Chemistry category

Go Binding Energy Per Nucleon

B.E per nucleon = \frac{∆m \cdot 931.5}{A}

Go Mean Life Time

ζ = 1.446 \cdot T 1/2

Go Packing Fraction

PF = \frac{∆m}{A}

Go Packing Fraction (In Isotopic mass)

PF isotope = \frac{(A isotope - A) \cdot (10^{4})}{A}

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

Determination of Amount of Energy Transferred to Target in Elastic Scattering evaluator 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 evaluate 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 evaluate Determination of Amount of Energy Transferred to Target in Elastic Scattering using this online evaluator? To use this online evaluator 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.

FAQs on Determination of Amount of Energy Transferred to Target in Elastic Scattering

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

The formula of Determination of Amount of Energy Transferred to Target in Elastic Scattering is expressed as 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. Here is an example- 3.5E+11 = ((4*1.67E-27*2.66E-25*(cos(0.212930168743268))^2)/(1.67E-27+2.66E-25)^2)*3.74909495220002E-13.

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

With 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) we can find Determination of Amount of Energy Transferred to Target in Elastic Scattering using the formula - 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. This formula also uses Cosine (cos) function(s).

Can the Determination of Amount of Energy Transferred to Target in Elastic Scattering be negative?

Yes, the Determination of Amount of Energy Transferred to Target in Elastic Scattering, measured in Energy can be negative.

Which unit is used to measure Determination of Amount of Energy Transferred to Target in Elastic Scattering?

Determination of Amount of Energy Transferred to Target in Elastic Scattering is usually measured using the Megaelectron-Volt[MeV] for Energy. Joule[MeV], Kilojoule[MeV], Gigajoule[MeV] are the few other units in which Determination of Amount of Energy Transferred to Target in Elastic Scattering can be measured.

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

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

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

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

Other formulas in Nuclear Chemistry category

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

FAQs on Determination of Amount of Energy Transferred to Target in Elastic Scattering

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