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Velocity of alpha particle using distance of closest approach Formula

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Velocity of alpha particle is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of a particle). Check FAQs

v = \sqrt{\frac{[Coulomb] \cdot Z \cdot ({[Charge-e]}^{2})}{[Atomic-m] \cdot r 0}}

v - Velocity of alpha particle?Z - Atomic Number?r₀ - Distance of Closest Approach?[Coulomb] - Coulomb constant?[Charge-e] - Charge of electron?[Atomic-m] - Atomic mass unit?

Velocity of alpha particle using distance of closest approach Example

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Here is how the Velocity of alpha particle using distance of closest approach equation looks like with Values.

Here is how the Velocity of alpha particle using distance of closest approach equation looks like with Units.

Here is how the Velocity of alpha particle using distance of closest approach equation looks like.

19840.6208 = \sqrt{\frac{9E+9 \cdot 17 \cdot ({1.6E-19}^{2})}{1.7E-27 \cdot 60}}

19840.6208m/s = \sqrt{\frac{9E+9 \cdot 17 \cdot ({1.6E-19C}^{2})}{1.7E-27kg \cdot 60A}}

19840.6208 = \sqrt{\frac{9E+9 \cdot 17 \cdot ({1.6E-19}^{2})}{1.7E-27 \cdot 60}}

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Velocity of alpha particle using distance of closest approach Solution

Follow our step by step solution on how to calculate Velocity of alpha particle using distance of closest approach?

FIRST Step Consider the formula

v = \sqrt{\frac{[Coulomb] \cdot Z \cdot ({[Charge-e]}^{2})}{[Atomic-m] \cdot r 0}}

Next Step Substitute values of Variables

∴

v = \sqrt{\frac{[Coulomb] \cdot 17 \cdot ({[Charge-e]}^{2})}{[Atomic-m] \cdot 60A}}

Next Step Substitute values of Constants

∴

v = \sqrt{\frac{9E+9 \cdot 17 \cdot ({1.6E-19C}^{2})}{1.7E-27kg \cdot 60A}}

Next Step Convert Units

∴

v = \sqrt{\frac{9E+9 \cdot 17 \cdot ({1.6E-19C}^{2})}{1.7E-27kg \cdot 6E-9m}}

Next Step Prepare to Evaluate

∴

v = \sqrt{\frac{9E+9 \cdot 17 \cdot ({1.6E-19}^{2})}{1.7E-27 \cdot 6E-9}}

Next Step Evaluate

∴

v = 19840.6208398467m/s

LAST Step Rounding Answer

∴

v = 19840.6208m/s

Velocity of alpha particle using distance of closest approach Formula Elements

Variables

Constants

Functions

Velocity of alpha particle

Velocity of alpha particle is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of a particle).

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of alpha particle

Atomic Number

Atomic Number is the number of protons present inside the nucleus of an atom of an element.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

Distance of Closest Approach

Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.

Symbol: r₀

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Distance of Closest Approach

Coulomb constant

Coulomb constant appears in Coulomb's law and quantifies the electrostatic force between two point charges. It plays a fundamental role in the study of electrostatics.

Symbol: [Coulomb]

Value: 8.9875E+9

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Atomic mass unit

Atomic mass unit is a standard unit of mass used to express atomic and molecular weights on a scale relative to the mass of an unbound neutral atom of carbon-12.

Symbol: [Atomic-m]

Value: 1.66054E-27 kg

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.

Syntax: sqrt(Number)

Other formulas in Distance of Closest Approach category

Go Distance of closest approach

r 0 = \frac{[Coulomb] \cdot 4 \cdot Z \cdot ({[Charge-e]}^{2})}{[Atomic-m] \cdot (v^{2})}

Go Internal Energy of Ideal Gas using Law of Equipartition Energy

U EP = (\frac{F}{2}) \cdot N moles \cdot [R] \cdot T g

How to Evaluate Velocity of alpha particle using distance of closest approach?

Velocity of alpha particle using distance of closest approach evaluator uses Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach)) to evaluate the Velocity of alpha particle, The Velocity of alpha particle using distance of closest approach is the speed by which an alpha particle travels in an atomic nucleus. Velocity of alpha particle is denoted by v symbol.

How to evaluate Velocity of alpha particle using distance of closest approach using this online evaluator? To use this online evaluator for Velocity of alpha particle using distance of closest approach, enter Atomic Number (Z) & Distance of Closest Approach (r₀) and hit the calculate button.

FAQs on Velocity of alpha particle using distance of closest approach

What is the formula to find Velocity of alpha particle using distance of closest approach?

The formula of Velocity of alpha particle using distance of closest approach is expressed as Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach)). Here is an example- 19840.62 = sqrt(([Coulomb]*17*([Charge-e]^2))/([Atomic-m]*6E-09)).

How to calculate Velocity of alpha particle using distance of closest approach?

With Atomic Number (Z) & Distance of Closest Approach (r₀) we can find Velocity of alpha particle using distance of closest approach using the formula - Velocity of alpha particle = sqrt(([Coulomb]*Atomic Number*([Charge-e]^2))/([Atomic-m]*Distance of Closest Approach)). This formula also uses Coulomb constant, Charge of electron, Atomic mass unit constant(s) and Square Root (sqrt) function(s).

Can the Velocity of alpha particle using distance of closest approach be negative?

Yes, the Velocity of alpha particle using distance of closest approach, measured in Speed can be negative.

Which unit is used to measure Velocity of alpha particle using distance of closest approach?

Velocity of alpha particle using distance of closest approach is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of alpha particle using distance of closest approach can be measured.

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Velocity of alpha particle using distance of closest approach Formula

Velocity of alpha particle using distance of closest approach Example

Velocity of alpha particle using distance of closest approach Solution

Velocity of alpha particle using distance of closest approach Formula Elements

Other formulas in Distance of Closest Approach category

How to Evaluate Velocity of alpha particle using distance of closest approach?

FAQs on Velocity of alpha particle using distance of closest approach

Variable Name