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Yes our form works perfectly on iphones and other mobile devices.
Is your form embedded on a website? Please share your web page URL of your website were the form is embed and we will take a look. I just checked your form in iPhone simulator and it seems to work just fine.
Since you want to use your form on mobile device you should add a "Ink File Picker" tool to allow uploading files from any mobile device. The following guide should help you: http://www.jotform.com/help/218-How-to-Take-Pictures-on-Your-Forms