Between 11:20 to 12:00 of specified date Java

Calendar cal = Calendar.getInstance();
cal.setTime(date);
int hour = cal.get(Calendar.HOUR_OF_DAY);
int minutes = cal.get(Calendar.MINUTE);
if (hour == 11 && minutes >= 20 || hour == 12 && minutes <= 0) 
{
  //Your Logic
}