Dane: [latex]W = 1,8eV\ lambda = 300nm = 3 cdot 10^{-7} m\ h = 6,62 cdot 10^{-34}Jcdot s hsapce{10} \ c = 3 cdot 10^8 frac{m}{s} \ m = 9,109 cdot 10^{-31}kg hspace{10} - masa hspace{5} elektronu[/latex] Obliczenia: [latex]h u = W + frac{mV^2}{2} \\ frac{hc}{lambda} = W + frac{mV^2}{2}\\ V = sqrt{ frac{2( frac{hc}{lambda} - W )}{m} }\\ V = sqrt{ frac{2( frac{6,62 cdot 10^{-34}Js cdot 3cdot 10^8 frac{m}{s} }{3 cdot 10^{-7}}- 2,88 cdot 10^{-19}J)}{9,109 cdot 10^{-31}kg} } [/latex] [latex]V = sqrt{ frac{2( 6,62 cdot 10^{-19}J - 2,88 cdot 10^{-19}J)}{9,109 cdot 10^{-31}kg} }\\ V = sqrt{ frac{7,48 cdot 10^{-19}J}{9,109 cdot 10^{-31}kg} } \\ V = sqrt{ frac{7,48cdot 10^{-19}kg frac{m^2}{s^2} }{9,109 cdot 10^{-31}kg} } \\ V approx sqrt{ 0,8212 cdot 10^{12} frac{m^2}{s^2} } [/latex] Wynik: [latex]V approx 9,06 cdot 10^{5} frac{m}{s}[/latex]
