# Uncertainty principle: Quiz

Question 1: In ________, the Heisenberg uncertainty principle states that certain pairs of physical properties, like position and momentum, cannot both be known to arbitrary precision.
Introduction to quantum mechanicsQuantum mechanicsSchrödinger equationWave–particle duality

Question 2: Werner Heisenberg formulated the uncertainty principle in ________'s institute at Copenhagen, while working on the mathematical foundations of quantum mechanics.
J. J. ThomsonWilhelm WienNiels BohrMax Planck

Question 3: It is a fundamental result in ________, the narrower the peak of a function, the broader the Fourier transform.
Discrete Fourier transformFourier analysisFourier seriesConvolution

Question 4: Since energy bears the same relation to time as momentum does to space in special relativity, it was clear to many early founders, ________ among them, that the following relation holds:
Niels BohrWilhelm WienJ. J. ThomsonMax Planck

Question 5: Taking the logarithm of Heisenberg's formulation of uncertainty in ________.
Stoney scale unitsPlanck unitsNatural unitsMeasurement

Question 6: The ________ play Copenhagen (1998) highlights some of the processes that went into the formation of the Uncertainty Principle.
The SeagullMichael FraynNiels BohrAnton Chekhov

Question 7: In the context of harmonic analysis, the uncertainty principle implies that one cannot at the same time localize the value of a function and its ________; to wit, the following inequality holds
ConvolutionHilbert spaceFourier transformFourier analysis

Question 8: Rather, the motion was smeared out in a strange way: the ________ of time only involving those frequencies that could be seen in quantum jumps.
Fourier transformHilbert spaceConvolutionFourier analysis

Question 9: is the ________ of observable X in the state ψ and
MeanArithmetic meanStandard deviationVariance

Question 10: The uncertainty Principle can be seen as a theorem in ________: the standard deviation of the squared absolute value of a function, times the standard deviation of the squared absolute value of its Fourier transform, is at least 1/(16π2) (Folland and Sitaram, Theorem 1.1).
Fourier seriesConvolutionDiscrete Fourier transformFourier analysis