Problem 19.29

a) จาก \(Δλ = \frac{h}{m_{0}c}(1 - \cos \theta )\)

\(\Delta \lambda =\frac{(6.626\times 10^{-34} J·s)}{(9.11\times 10^{-31} kg)(3.00\times 10^{8} m/s)}(1 - \cos (37.0°))\)

\(\Delta \lambda = 4.88\times 10^{-13} m \;\blacksquare\)

b) จาก \(E′ = \frac{1,240}{\lambda '}eV\)

\(E' =\frac{1,240}{\lambda  + \Delta \lambda}eV\)

\(E' =\frac{1,240}{\frac{1,240}{E}+ \Delta \lambda}eV\)

\(E' =\frac{1,240}{\frac{1,240}{300\times 10^{3}}+ (4.88\times 10^{-4})}eV = 268 keV \;\blacksquare\)

c) จาก \(E′ + E_{e}= E + E_{0}\)

\(E_{e}- E_{0} = E - E'\)

\(K = 300 - 268 keV; K = E_{e}- E_{0}\)

\(K = 32 keV \;\blacksquare\)