That I know! I just saw the 1950 movie on TCM, and posted about it over at the Stumbling Upon Old Movies thread, which is where I first asked this question.
The dramatic device seemed familiar, and I’m more familiar with Asimov’s work than RAH’s. I haven’t read the original Heinlein story, but I should have been clear that I was asking about his other works, since I assumed it was in that one.