My laptop cant browse when using wifi(chrome, firefox explore)I get the cant resolve host error. I am able to connect to the wireless router. I am able to browse if connected using ethernet. other wireless laptop and i phone able to browse wirelessly. it seems to be specific with my laptop

Chrome fails?
Firefox fails?
Does Internet Explorer connect?
Does any web-browser on your mom's PC connect?

Obvious thing, but have you already tried restarting the router? Sounds like an odd problem for it to only happen with wireless that that router with that laptop. That error looks like a Google Chrome error. It may be worth seeing if you still get the error with Firefox as well.

There are no defaults for this, but 2 ways to go about.

A. When you have a device like an Android phone which is already able to connect to the wifi network, download WiFi Key Recovery on the Google Play store.

B. Set a new key on the router (this will affect all wireless devices connected to this wifi network)

1. Connect your computer/ laptop with a network cable directly to your SMC router.
2. Open your browser e.g. Internet Explorer, Firefox, Chrome, and type "192.168.2.1" (without quotes) in the addressbar.
3. A password is required to login. The default is smcadmin.
4. Open Security from the menu on the left, click Wireless.
5. You will be able to set a new WEP or WPA key. Use WPA for better security.

Try to do this steps to resolve your selective browsing issues:
1. optimize the browser by clearing cache, deleting histories, and cookies.2. try a different browser such as Internet Explorer, Mozilla Firefox, or Google Chrome.3. try to use a different computer. These three steps should fix your selective browsing issues.
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Your xbox console is getting wifi from your modem router. Make sure that the settings from your modem settings via its modem page. Try to connect a laptop or any wireless end device connecting to your router.
To check the wireless settings of the router:1. from the desktop click the start menu icon on the lower left corner2. select all programs then select run3. you will be provided with a small search box, type cmd4. press enter, then you will be provided with a black screen5. from the black screen type ipconfig6. there will be list of information from the black screen7. look for the default gateway numbers8. write it down to a piece of paper9. close the black screen10. open any browser, (internet explorer, mozilla firefox, google chrome, fedora or safari)11. type the default gateway's number on the address baron top of the screen12. press enter13. look for the wireless settings14. check the wireless settings if its activated and broadcasted.15. saved settings16. go to the back of your console17. you must be using a wireless adapter (the besst wireless adapter is the wireless N adapter)18. turn off xbox19. reseat the wireless adapter.20 reseat all of the cables21. after 2 minutes, turn on xbox22. try to use your xbox, it should be working fine by then, unless there's a problem with your wireless adapter
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Use a different internet browser and try again! Firefox Safari internet explorer or Chrome
That should resolve the problem! also power cycle of router power down and power up will resolve most problems!

If you have access to the router, you may log into its software through web browser (firefox, internet explorer, chrome, etc) then enable WEP security to allow a passcode they would need to use to connect to your router.
To find out how to log into your router software, enter the model number and the phrase "default login" into google to find instructions

A disconnecting wireless and low wireless signal can be caused by any number of things.
Please click on this link and follow my instructions to help resolve your problem.
http://www.fixya.com/support/r3559120-wireless_router_disconnecting

The problem you are describing is typical of Firewall issues: you can try to resolve the issue by trying the following in order: 1) Disable any firewall/anti-spyware software on your PC/Laptop (or try using a different 'working' PC or Laptop 2) Disable all firewall on your wireless router 3) Disable all firewall on your adsl/cable modem
Once you determine where the problem is, re-enable the firewalls/filters as required and add Exceptions for the appropriate IP addresses and/or Ports to enabled Web browsing (in general do not block port 80 or 8080).
Hope it helps.

Check with this tip
Let me know if everything is clear and if you can put every setting matching on both sides: Access Point (= router, AP) and Client (PC).
Radio connection IS different from browsing Net.
Can PC browse internet when connected with LAN cable to same router?
Are both on same subnet?
Have you checked if an access list is installed in router firewall?
Is the Client blocked /allowed in Firewall?
Can you ping router from Client?
Did you see the router as default gateway in Client IPCONFIG?
Is Router IP address in HOST client file?
Any antivirus, firewall (like Zonealarm) software blocking some new LAN connection and requiring to unblock?