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Radioactive decay of radio active materials can be modeled by the equation: At =

ID: 3651927 • Letter: R

Question

Radioactive decay of radio active materials can be modeled by the equation:
At = Ao*e^(-t*[log2/h])
where At is the amount of the material at time t, Ao is the original amount and h is the half-life. Technetium-99 is a radio isotope that is used in imaging of the brain. It has a half-life of 6 hours.
Write a program that collects Ao as double input. Then have your program display the level of technetium-99 remaining after every 3 hours in a 24 hour time period.
When completed, write a sentinel while loop that repeats this work until the user types in "quit".

Explanation / Answer

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Program RadioActive.java

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import java.util.Scanner;

class RadioActive
{
    public static void main(String args[])
    {
        Scanner s=new Scanner(System.in);
        Scanner s1=new Scanner(System.in);
        while(true)
        {
            System.out.print("Enter the value of Ao: ");
            double a0=s.nextDouble();
            int t;
            double at;
            for(t=0;t<=24;t=t+3)
            {
                at=a0*Math.exp(-t*((Math.log(2))/6));
                System.out.println("At "+t+" hours: At= "+at);
            }
            System.out.print("Do you want to enter Ao once again [y for yes]: ");
            String ch=s1.nextLine();
            if(ch.charAt(0)!='y')break;
        }
    }
}

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Sample output: