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Here's one way to generate radio buttons dynamically in Java:

1. Create a container (such as a JPanel) to hold the radio buttons.
2. Create an array or list of strings that represent the individual radio button options.
3. Use a loop to create a JRadioButton for each option in the array/list.
4. Add each JRadioButton to the container using the add() method.
5. Once all of the radio buttons have been added, make sure to set one of them as selected (using the setSelected() method).

Here is some sample code that demonstrates this process:

import javax.swing.*;
import java.awt.*;

public class RadioButtonExample {

    public static void main(String[] args) {

        // Create a JFrame to hold the radio buttons
        JFrame frame = new JFrame();
        frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        frame.setSize(300, 200);
        Container contentPane = frame.getContentPane();

        // Create a JPanel to hold the radio buttons
        JPanel buttonPanel = new JPanel();
        buttonPanel.setLayout(new GridLayout(0, 1)); // Vertical layout

        // Create an array of radio button options
        String[] options = {"Option 1", "Option 2", "Option 3"};

        // Loop through the options and create a JRadioButton for each one
        for (String option : options) {
            JRadioButton radioButton = new JRadioButton(option);
            buttonPanel.add(radioButton);
        }

        // Set the first radio button as selected
        JRadioButton firstButton = (JRadioButton) buttonPanel.getComponent(0);
        firstButton.setSelected(true);

        // Add the panel of radio buttons to the main content pane
        contentPane.add(buttonPanel, BorderLayout.CENTER);

        // Show the frame
        frame.setVisible(true);
    }
}

This code creates a JFrame that contains a single panel of radio buttons with three options ("Option 1", "Option 2", "Option 3"). It loops through the options array and creates a JRadioButton for each one, which is then added to the buttonPanel using the add() method. It then sets the first radio button as selected using the setSelected() method. Finally, the buttonPanel is added to the main content pane of the frame, and the frame is set visible to display the radio buttons.