Are two Java objects with same hashcodes not necessarily equal?

Question

I understand why providing same hashcode for two equal (through equals) objects is important. But is the vice versa true as well, if two objects have same hash

Answer 1

hashCode value depends on the implementation. for example String class implements hashCode() function depending upon the value. it means

String a=new String("b");
String b=new String("b");

will have same hashcode but, these are two different objects. and a==b will return false.