As the inductance is relatively difficult to adjust (compared with a variable capacitor), equipment designed to work on several frequencies usually has several fixed coils which are selectable via a panel-mounted switch to act as a course frequency adjustment with a variable capacitor for the fine tuning.
The small picture to the left shows the top of an iron-dust core inside a coil. The slot is to adjust the position of the core within the coil in order to change its value. These cores are always brittle and should not be adjusted without the proper tools and test equipment.