Which has a larger file format JPEG file or tiff file?

These are different file formats. jpeg uses a lossy compression algorithm. Tiff can use a lossless algorithm (the compression algorithithm can be defined for each image).
TIFF is a flexible, adaptable file format for handling images and data within a single file, by including the header tags (size, definition, image-data arrangement, applied image compression) defining the image's geometry. For example, a TIFF file can be a container holding compressed (lossy) JPEG and (lossless) PackBits compressed images. A TIFF file also can include a vector-based Clipping path (outlines, croppings, image frames). The ability to store image data in a lossless format makes a TIFF file a useful image archive, because, unlike standard JPEG files, a TIFF file using lossless compression (or none) may be edited and re-saved without losing image quality. This is not the case when using the TIFF as a container holding compressed JPEG. Other TIFF options are layers and pages, neither are supported by JPEG.