Handling date in SQL Server
Solution 1:
Don't pass dates as strings. Pass them as DateTime.
The .Net DateTime maps directly to SQL Server's DateTime. All you have to do is parse the string to a DateTime struct in your .Net code and pass it as a parameter to your stored procedure.
To search for a specific date and ignore the Time portion of the DateTime, better use >= and < in your sql:
select *
from table
where acceptedDate >= @Date
AND acceptedDate < DATEADD(DAY, 1, @Date);