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Консультация № 189865
11.10.2016, 06:15
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Здравствуйте! Прошу помощи в следующем вопросе:
Фотон с длиной волны 0,08 мкм выбил электрон из невозбуждённого атома водорода. С какой скоростью электрон вылетит из атома, если энергия ионизации равна 13,5 эВ?
Фотон с длиной волны 0,08 мкм выбил электрон из невозбуждённого атома водорода. С какой скоростью электрон вылетит из атома, если энергия ионизации равна 13,5 эВ?
Обсуждение
13.10.2016, 14:40
общий
это ответ
Здравствуйте, alenchik2545!
Энергия фотона определяется формулой Планка:
или, с учётом того, что [$957$] = c/[$955$]:
где [$955$] - длина волны, c = 2.998[$183$]10[sup]8[/sup] м/с - скорость света, h = 6.582[$183$]10[sup]-15[/sup] эВ[$183$]с - постоянная Планка. В данном случае для [$955$] = 0.08 мкм = 8[$183$]10[sup]-8[/sup] м получается
По условию задачи часть этой энергии (13.5 эВ) затрачивается на ионизацию атома водорода. Остальная переходит в кинетическую энергию выбитого электрона, которая таким образом составит W = 24.666 - 13.5 = 11.166 эВ.
С другой стороны, кинетическая энергия объекта массой m, движущегося со скоростью v, определяется выражением
откуда для электрона массой m = 5.11[$183$]10[sup]5[/sup] эВ
(в системе единиц, где энергия и масса частиц измеряется в электронвольтах, скорость выражается в долях скорости света).
Энергия фотона определяется формулой Планка:
или, с учётом того, что [$957$] = c/[$955$]:
где [$955$] - длина волны, c = 2.998[$183$]10[sup]8[/sup] м/с - скорость света, h = 6.582[$183$]10[sup]-15[/sup] эВ[$183$]с - постоянная Планка. В данном случае для [$955$] = 0.08 мкм = 8[$183$]10[sup]-8[/sup] м получается
По условию задачи часть этой энергии (13.5 эВ) затрачивается на ионизацию атома водорода. Остальная переходит в кинетическую энергию выбитого электрона, которая таким образом составит W = 24.666 - 13.5 = 11.166 эВ.
С другой стороны, кинетическая энергия объекта массой m, движущегося со скоростью v, определяется выражением
откуда для электрона массой m = 5.11[$183$]10[sup]5[/sup] эВ
(в системе единиц, где энергия и масса частиц измеряется в электронвольтах, скорость выражается в долях скорости света).
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