0 - 1 of 1 tags for Minimum Value

Dear All,
I have a Table where i have 2 fields - date_col and time_col.
DATE_COL - DATE FORMAT 'YY/MM/DD'
TIME_COL - TIME(6)
I am trying to select the min(time_col) for a particular date / current_date...
When i select all the records from the table for a particular date, i can see the min of time_col is '00:01:33'