Dear Shruthi
There is no match for Comp science from IIT. But it doesn't mean that it ends here. you have to work hard and perform well also. Be it any branch in IIT or NIT your performance always matter. name of college can give initial push only for 1-2 years not more than that.
All the best.                                                           
AKASH GOYAL
AskiitiansExpert-IITD
 
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That's just depend on your interest.
Both are really good branches. 
But if u want an opinion then I would say CS.
CS always had an edge over other branches of Engg.