To answer this question, you need to understand the lifecycle of an applet in Java.
When a web browser encounters an applet embedded in a webpage, it follows a specific sequence of method calls to initialize and start the applet. The correct answer is C) init method.
The init method is the first method called by a web browser when it encounters a new applet. This method is responsible for initializing the applet and setting up any necessary resources. It is typically used to perform tasks such as initializing variables, setting the applet's size, and loading any necessary resources.
After the init method is called, the browser will call the start method, which is responsible for starting the execution of the applet. The start method is typically used to start any threads or timers needed for the applet's functionality.
The main method, option A, is not applicable to applets. The main method is the entry point for standalone Java applications, not applets.
The run method, option D, is also not applicable to applets. The run method is used for multi-threaded programming in Java, but applets run in a single thread controlled by the browser.
Therefore, the correct answer is C) init method.