A. \({{2,29.10}^{4}}\)m/s.
B. \({{9,24.10}^{3}}\) m/s.
C. \({{9,61.10}^{5}}\)m/s.
D. \({{1,34.10}^{6}}\)m/s.
C
Ta có:
\(v={{v}_{max}}\) → \(\varepsilon ={{\varepsilon }_{max}}\) tương ứng \(\lambda =0,243\)μm.
\(\frac{hc}{\lambda }=\frac{hc}{{{\lambda }_{0}}}+\frac{1}{2}mv_{max}^{2}\) → \({{v}_{max}}=\sqrt{\frac{2hc}{m}\left( \frac{1}{\lambda }-\frac{1}{{{\lambda }_{0}}} \right)}\).
thay số \({{v}_{max}}=\sqrt{\frac{2\left( {{6,625.10}^{-34}} \right).\left( {{3.10}^{8}} \right)}{\left( {{9,1.10}^{-31}} \right)}\left( \left( \frac{1}{0,243}-\frac{1}{0,5} \right).\left( \frac{1}{{{10}^{-6}}} \right) \right)}={{9,61.10}^{5}}\)m/s.
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