Hi Anupam, Introducing yourself is about your first chance to say something that will make you memorable to the interviewer. You've got about 20 seconds before you are either on the 'good' or 'bad' list, so make every one of them count. Be prepared to be under observation all the time that you are at the office/interview. Even the secretary/receptionist may be asked for an impression of you after you leave.
When the interviewer approaches you or has you brought into his room, he will usually introduce himself first and make a movement to shake hands. This is your script:
•Look him in the face with a slight smile.
•Shake the offered hand
• Repeat his name (Hello, Mr. Smith! A pleasure to meet you!) in a manner that says, first off, you are pleased to meet him and secondly, that you are repeating his name to lock it into your memory.
• Then say this -- 'I'm Gregory Harper Jones, This sentence ensures he knows your name, but also lets him become a bit 'closer' to you.
Here's a Link this might help you understand it better: