Which of the following statements are true according to Heisenberg's uncertainty principle? Check all that apply. Check all that apply. There is a limit to the accuracy of certain measurements. This limit is a restriction inherent in nature. The wave-particle duality accounts for some of the limits on accuracy of measurements. The unavoidable interaction between the thing to be observed and the observing instrument accounts for some of the limits on the accuracy of measurements. The position and momentum of an object cannot both be precisely given at the same time. There is a limit to the accuracy of certain measurements. This limit restricts how well measuring instruments can be constructed.