A student analyzes Compton-scattering data and obtains a straight-line fit given by

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

A student analyzes Compton-scattering data and obtains a straight-line fit given by Δλ=(2.55×10−12 m)(1−cos⁡θ)\Delta\lambda=(2.55\times10^{-12}\,\text{m})(1-\cos\theta). Using the electron mass me=9.11×10−31 kgm_e=9.11\times10^{-31}\,\text{kg} and the speed of light c=3.00×108 m s−1c=3.00\times10^{8}\,\text{m\,s}^{-1}, which of the following is the best estimate of Planck’s constant hh implied by the data? (a) 9.1×10−34 J s9.1\times10^{-34}\,\text{J\,s} (b) 7.0×10−33 J s7.0\times10^{-33}\,\text{J\,s} (c) 6.7×10−34 J s6.7\times10^{-34}\,\text{J\,s} (d) 3.5×10−34 J s3.5\times10^{-34}\,\text{J\,s}

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