I just took my GRE today and I must say I did very mediocre on it. I did not fail but did mediocre. If one looked at my score they would never guess I';m a physics major. I got 156 in both verbal and quantitative. On my physics GRE I'm probably going to get in the 70 to 80th percentile. My GPA is 3.7. This includes getting an A in a graduate dynamics class. I had an REU this summer which turned into my senior project. I'm getting one excellent in depth recommendation letters and 2 good recommendation letter. I want to get into a physics PhD program with a stipend. How strong is my application and do you think I have a shot?