where variable and objects are stored

hai,
in java where variables,methods and objects are stored.

Not an advanced question. Moving...

objects are stored on the heap

When methods are called they live on the stack.

instance variables are on the heap with its object

local variables(primitive and object references) go on the stack. In the case of an object reference, the object itself of course is on the heap.

The byte-code for the methods, the static variables and the constants in a class only have to be loaded once. So once a class is loaded onto the heap the JVM can use that stuff all day long. There are some conditions under which this stuff is unloaded, but I wouldn't count on it.

When you instantiate an object the JVM allocates the member variables. These go in the heap as well. Objects are created and garbage collected in different orders which can leave holes in the heap. The GC can move things around to close up the holes and make the remaining contiguous chunk bigger.

When you call a method and as the method executes, the JVM allocates the local variables. These go on the stack. Method calls exit in reverse order of how they were called, so the JVM can de-allocate in reverse order. It doesn't get holes in the stack.

Does that make sense?

See Where storage lives from Eckel's Thinking in Java.