An electron in hydrogen is reported to be in a circular orbit of radius with a speed of

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Problem

An electron in hydrogen is reported to be in a circular orbit of radius 2.12×10−10 m2.12\times10^{-10}\,\text{m} with a speed of 1.10×106 m s−11.10\times10^{6}\,\text{m s}^{-1}. Using me=9.11×10−31 kgm_e = 9.11\times10^{-31}\,\text{kg} and ℏ=1.055×10−34 J s\hbar = 1.055\times10^{-34}\,\text{J s}, what is the approximate percentage difference between its calculated angular momentum and the nearest allowed Bohr value? (a) 0\% (b) 5\% (c) 0.7\% (d) 1.4\%

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