Average Life Calculator

⤿

Nucleus

Atom

Photoelectric Effect

Vacuum Tubes and Semiconductors

✖The decay constant is its probability of decay per unit time.ⓘ Decay Constant [λ]

+10%

-10%

✖Average Life is the reciprocal of the decay constant.ⓘ Average Life [t_avg]

⎘ Copy

👎

Formula

✖

Average Life

Formula

`"t"_{"avg"} = 1/"λ"`

Example

`"2.5s"=1/"0.4Hz"`

Calculator

LaTeX

Reset

👍

Download Nucleus Formulas PDF PDF Image

Average Life Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Life = 1/Decay Constant
t_avg = 1/λ
This formula uses 2 Variables

Variables Used

Average Life - (Measured in Second) - Average Life is the reciprocal of the decay constant.
Decay Constant - (Measured in Hertz) - The decay constant is its probability of decay per unit time.

STEP 1: Convert Input(s) to Base Unit

Decay Constant: 0.4 Hertz --> 0.4 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_avg = 1/λ --> 1/0.4

Evaluating ... ...

t_avg = 2.5

STEP 3: Convert Result to Output's Unit

2.5 Second --> No Conversion Required

FINAL ANSWER

2.5 Second <-- Average Life

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Modern Physics » Nucleus » Average Life

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ more calculators!

< 11 Nucleus Calculators

Binding Energy

Go Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2

Mass Defect

Go Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom

Population at Time t

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

Population after N Half Lives

Go Number of Particles at Time t = Number of Particles in Sample Initially/(2^(Number of Half Lives))

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)

Change in Mass in Nuclear Reaction

Go Mass Defect = Mass Reactant-Mass Product

Q-Value

Go Q Value = Initial Energy-Final Energy

Half Life for Nuclear Decay

Go Half Life Period = 0.693/Decay Constant

Average Life

Go Average Life = 1/Decay Constant

Energy Released in Nuclear Reaction

Go Energy = Mass Defect*[c]^2

Average Life Formula

Average Life = 1/Decay Constant
t_avg = 1/λ

How long does radioactive decay last?

Each radioactive material has a decay rate. The time that it takes for half of the radioactive atoms to decay is called a half-life. For example, the technetium-99m has a half-life of six hours which means that, starting with 100 percent, after six hours, we will have 50 percent left.

How to Calculate Average Life?

Average Life calculator uses Average Life = 1/Decay Constant to calculate the Average Life, The Average Life formula is defined as the reciprocal of the decay constant. For example, free neutrons decay with a half-life of about 10.3 minutes. This corresponds to a decay constant of . 067/min and an average lifetime of 14.8 minutes or 890 seconds. Average Life is denoted by t_avg symbol.

How to calculate Average Life using this online calculator? To use this online calculator for Average Life, enter Decay Constant (λ) and hit the calculate button. Here is how the Average Life calculation can be explained with given input values -> 2.5 = 1/0.4.

FAQ

What is Average Life?

The Average Life formula is defined as the reciprocal of the decay constant. For example, free neutrons decay with a half-life of about 10.3 minutes. This corresponds to a decay constant of . 067/min and an average lifetime of 14.8 minutes or 890 seconds and is represented as t_avg = 1/λ or Average Life = 1/Decay Constant. The decay constant is its probability of decay per unit time.

How to calculate Average Life?

The Average Life formula is defined as the reciprocal of the decay constant. For example, free neutrons decay with a half-life of about 10.3 minutes. This corresponds to a decay constant of . 067/min and an average lifetime of 14.8 minutes or 890 seconds is calculated using Average Life = 1/Decay Constant. To calculate Average Life, you need Decay Constant (λ). With our tool, you need to enter the respective value for Decay Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search