Problem 2.13 The mass of an electron is 9.1. 10-31 kg. If its K.E. is 3.0. 10-25 J, calculate its wavelength.

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begin{aligned}( lambda &=frac{h}{sqrt{2 m(k-E)}}=frac{6 cdot 63 times 10^{-34}}{sqrt{2 times 9.1 times 10^{-31} times 3 times 10^{-25}}} mathrm{m} =& frac{6.63 times 10^{-6}}{sqrt{54.6}} mathrm{m}=0.897 times 10^{-6} &=8.97 times 10^{-7} mathrm{m} )hline ( &=0.897 mathrm{nm} end{aligned} )

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