UPDATE: There is a workaround to the problem. It is to force IE10 into compatibility mode by including one of the following meta tags:
Thanks for all workarounds solution but this is obviously a bug with Silverlight plugin.
We have raised few tickets directly with Internet explorer development team and they said the issue is from an external problem. It is not a good answer from Microsoft.
Anyway, this time our developers raised ticket through Silverlight development team which still waiting for their response. To get a good response from them, we need to get more people who are facing this issue.
You can vote this issue from Connect website which is Microsoft's official bug reporting platform.
The link to our ticket is: http://connect.microsoft.com/VisualStudio/feedback/details/789004/ie10-shows-blank-page-upon-refreshing-silverlight-app
Cheers
Moh