Program to compute the decay rate using Euler Algorithm.

  

Date Posted: 11/19/2012 2:28:36 AM

Posted By: sollo  Membership Level: Bronze  Total Points: 25

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The principle of radioactive decay states that “the rate of decay of atoms is inversely proportional to the number of atoms in a particle”. This rate can be determined using a computer program written in ” C language” as the one below.

PROGRAM TO COMPUTE THE DECAY RATE USING THE EULER ALGORITHM

// Program to compute the decay rate using the Euler algorithm
#include
Intmain()
{
// declaring variables
Double NO; // Number of atoms at time To;
Double N; // number of atoms remaining at time t
Double dN; // initial values of
Double To;// start time
Double T;
Double dt;//time step
Double lambda=1 decay constant
// entering data
Cout<<” \n enter the initial number of atoms, No=”;
Cin>>No;
Cout<<”\n enter starting time, To=”;
Cin>>TO;
COUT<<”\n enter the time step, dt=”;
Cin>>dt;
// to print the titles
Cout<<”time”<<\t”rate”<<”\t”<<”number of atoms remaining, N;
Cout<<”\n”;
// to compute the values of T,rate,dN, and N;
N=NO;
T=TO;
While (T<=5)
{
Double rate=- lambda*N;
Dn=Rate*dt;
N=N+Dn;
Cout<Cout<<”\n”;
T=T+dt;
}
Return 0;
}
When building and executing this program , you will be asked to enter the initial number of atoms, No,starting time, To add also to enter the time step in order to compute the values of T,rate,dN, and N;
This will give a computational value at the above specified variables during the first five hours.

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