Can any one tell me the advantage of synchronized method over synchronized block with an example?
As a practical matter, the advantage of synchronized methods over synchronized blocks is that they are more idiot-resistant; because you can't choose an arbitrary object to lock on, you can't misuse the synchronized method syntax to do stupid things like locking on a string literal or locking on the contents of a mutable field that gets changed out from under the threads.
On the other hand, with synchronized methods you can't protect the lock from getting acquired by any thread that can get a reference to the object.
So using synchronized as a modifier on methods is better at protecting your cow-orkers from hurting themselves, while using synchronized blocks in conjunction with private final lock objects is better at protecting your own code from the cow-orkers.