First of all its safe to assume your BSNL EVDO wireless modem has nothing to do with your problem. It's either your Operating System or your Browser.
I have a few questions to ask you...
1) are you able to open task manager by any chance? ( Ctrl + Shift + Esc )
2) what Internet browser are you using?
3) what security software did you use to check for viruses?
4) what format are the songs and where are you downloading them from, and does your system still freeze if you try to download songs from another location online?
5) try another youtube like site does this make a difference?
http://www.dailymotion.com/us
6) does trying a different browser remedy the situation? Try Firefox if your not already using it to see if that works.
7) If you use your other Network Interface Cards does that help? For example if you hook up to a wired network using your RJ-45 or you hook up to a WIFI network using your wireless NIC?