Here is a useful gadget for lighting up dark drawers from IKEA.
The DIODER drawer light consists of an LED array (which has a life of 50,000 hours) and is battery operated.
There is no switch for the light as it has a sensor built into it. The drawer light will light up for 15 seconds when you open the drawer and it goes out 5 seconds after you close it. The length of the drawer light is 29cm.
More information at IKEA