Here's why my grammatical and editorial ear thinks that's wrong. Several commenters asked if it wouldn't be correct to write, “I placed the iPhone which screen was broken in the bin.” The sample phrase, for the sake of simplicity: “I placed the iPhone whose screen was broken in the bin.” However, a few of you wrote asking about using “which” in place of “whose”, and I wanted to address those questions and figure out if “which” in that case was a proper use of the word. I'm 100% a rephraser in that respect, and will rewrite the sentence to give it a more natural flow.
If I'm being honest, I'm still not totally comfortable using “whose” for inanimate objects.