It depends on the app.
Mail - yes
Safari - yes
Calendar - mostly no
Phone - no
Music - no if you are playing songs that are physically stored on the phone
Videos - no if you are viewing videos that are physically stored on the phone
Camera - no
Photos - no if you are viewing pictures that are physically stored on the phone
App Store - yes
iTunes Store - yes
Maps - yes
Phone - no
Join the forum and provide more details about what apps you are interested in, and more assistance can be provided.