Display apparatus and home appliance having same

A dishwasher comprising:

• a display apparatus configured to project an image including state information of the dishwasher onto a floor on which the dishwasher is installed, a washing chamber, and a door configured to open or close forwardly of the washing chamber,
• wherein the display apparatus is arranged inside the door, and
• wherein the display apparatus comprises:
• an image generator comprising a light source, a display device configured to transmit light generated by the light source and display the image, and an illumination lens configured to condense the light generated by the light source to the display device,
• an adjustor including a refractive lens configured to adjust a size of the image displayed on the display device to allow a size of the image projected from the display apparatus to be adjustable, and
• a housing configured to accommodate the image generator and the adjustor,
• wherein the housing comprises a first housing configured to accommodate the image generator, and a second housing configured to accommodate the adjustor, and
• the first housing comprises an inlet through which air flows into the housing and disposed at a lower portion of the first housing along a vertical direction of the housing, and an outlet disposed at a higher position along the vertical direction of the housing than a position of the light source.