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Decay Rate Calculator

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Nuclear Physics Transistor Characteristics

✖Decay Constant is a measure of the rate at which unstable atoms undergo radioactive decay, emitting ionizing radiation, and is a fundamental concept in nuclear physics and chemistry.ⓘ Decay Constant [λ]			+10% -10%
✖Total Number of Particles in Sample is the count of particles present in a given sample, typically used in nuclear physics to quantify the amount of substance or material.ⓘ Total Number of Particles in Sample [N_total]			+10% -10%

✖Decay Rate is the rate at which unstable atomic nuclei lose their radioactivity and approach a more stable state, measured by the number of nuclei decaying per unit time.ⓘ Decay Rate [D]

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Formula

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Decay Rate

Formula

D = - λ \cdot N total

Example

-26 = - 0.4 Hz \cdot 65

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Decay Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Decay Rate = -Decay Constant*Total Number of Particles in Sample
D = -λ*N_total
This formula uses 3 Variables

Variables Used

Decay Rate - Decay Rate is the rate at which unstable atomic nuclei lose their radioactivity and approach a more stable state, measured by the number of nuclei decaying per unit time.
Decay Constant - (Measured in Hertz) - Decay Constant is a measure of the rate at which unstable atoms undergo radioactive decay, emitting ionizing radiation, and is a fundamental concept in nuclear physics and chemistry.
Total Number of Particles in Sample - Total Number of Particles in Sample is the count of particles present in a given sample, typically used in nuclear physics to quantify the amount of substance or material.

STEP 1: Convert Input(s) to Base Unit

Decay Constant: 0.4 Hertz --> 0.4 Hertz No Conversion Required
Total Number of Particles in Sample: 65 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = -λ*N_total --> -0.4*65

Evaluating ... ...

D = -26

STEP 3: Convert Result to Output's Unit

-26 --> No Conversion Required

FINAL ANSWER

-26 <-- Decay Rate

(Calculation completed in 00.004 seconds)

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< Nuclear Physics Calculators

Population at Time

Go Number of Particles at Time = Number of Particles in Sample Initially*e^(-(Decay Constant*Time)/(3.156*10^7))

Decay Rate

Go Decay Rate = -Decay Constant*Total Number of Particles in Sample

Nuclear Radius

Go Nuclear Radius = Radius of Nucleon*Mass Number^(1/3)

Half Life for Nuclear Decay

Go Half Life Period = 0.693/Decay Constant

Decay Rate Formula

Decay Rate = -Decay Constant*Total Number of Particles in Sample
D = -λ*N_total

What is Nuclear Reaction ?

A nuclear reaction is a process in which atomic nuclei collide and interact, leading to a change in their composition, structure, or energy state. This can result in the transformation of elements, the release of energy, and the emission of particles or radiation.

How to Calculate Decay Rate?

Decay Rate calculator uses Decay Rate = -Decay Constant*Total Number of Particles in Sample to calculate the Decay Rate, Decay Rate formula is defined as a measure of the rate at which unstable atoms lose their radioactivity, describing the exponential decrease in the number of radioactive atoms over time, providing valuable insights into the half-life of radioactive substances and their applications in various fields. Decay Rate is denoted by D symbol.

How to calculate Decay Rate using this online calculator? To use this online calculator for Decay Rate, enter Decay Constant (λ) & Total Number of Particles in Sample (N_total) and hit the calculate button. Here is how the Decay Rate calculation can be explained with given input values -> -26 = -0.4*65.

FAQ

What is Decay Rate?

Decay Rate formula is defined as a measure of the rate at which unstable atoms lose their radioactivity, describing the exponential decrease in the number of radioactive atoms over time, providing valuable insights into the half-life of radioactive substances and their applications in various fields and is represented as D = -λ*N_total or Decay Rate = -Decay Constant*Total Number of Particles in Sample. Decay Constant is a measure of the rate at which unstable atoms undergo radioactive decay, emitting ionizing radiation, and is a fundamental concept in nuclear physics and chemistry & Total Number of Particles in Sample is the count of particles present in a given sample, typically used in nuclear physics to quantify the amount of substance or material.

How to calculate Decay Rate?

Decay Rate formula is defined as a measure of the rate at which unstable atoms lose their radioactivity, describing the exponential decrease in the number of radioactive atoms over time, providing valuable insights into the half-life of radioactive substances and their applications in various fields is calculated using Decay Rate = -Decay Constant*Total Number of Particles in Sample. To calculate Decay Rate, you need Decay Constant (λ) & Total Number of Particles in Sample (N_total). With our tool, you need to enter the respective value for Decay Constant & Total Number of Particles in Sample 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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