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Консультация № 198170
07.04.2020, 19:12
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Атомарный водород, находящийся в основном состоянии, облучается монохроматическим светом с длиной волны 88,6 нм и ионизируется. Электроны, вылетающие из атомов в результате ионизации, попадают в магнитное поле перпендикулярно линиям индукции и начинают двигаться по окружности радиусом 1 мм. Определить величину индукции магнитного поля 𝐵. Изобразите на рисунке энергетическую диаграмму атома водорода; на отдельном рисунке изобразите движение электронов в магнитном поле.
Атомарный водород, находящийся в основном состоянии, облучается монохроматическим светом с длиной волны 88,6 нм и ионизируется. Электроны, вылетающие из атомов в результате ионизации, попадают в магнитное поле перпендикулярно линиям индукции и начинают двигаться по окружности радиусом 1 мм. Определить величину индукции магнитного поля 𝐵. Изобразите на рисунке энергетическую диаграмму атома водорода; на отдельном рисунке изобразите движение электронов в магнитном поле.
Обсуждение
13.04.2020, 17:59
общий
это ответ
Здравствуйте, dar777!
Согласно уравнению Планка, энергия фотона с длиной волны [$955$] и частотой [$957$] равна
где h = 6.625[$183$]10[sup]-34[/sup] Дж[$183$]с - постоянная Планка, c = 2.998[$183$]10[sup]8[/sup] м/с - скорость света. При ионизации атома часть этой энергии расходуется на нейтрализацию энергии связи электрона E[sub]1[/sub], остальная энергия переходит в кинетическую энергию освободившегося электрона, то есть
где m = 9.11[$183$]10[sup]-31[/sup] кг и v - масса и скорость электрона. Попав в магнитное поле с индукцией B, электрон будет описывать окружность радиусом
где e = 1.6[$183$]10[sup]-19[/sup] Кл - заряд электрона. Тогда
и
откуда
В данном случае r = 1 мм = 0.001 м, [$955$] = 88.6 нм = 8.86[$183$]10[sup]-8[/sup] м, для атомарного водорода E[sub]1[/sub] = 13.6 эВ = 2.17[$183$]10[sup]-18[/sup] Дж и
Тл
или примерно 2.26 мТл.
Согласно уравнению Планка, энергия фотона с длиной волны [$955$] и частотой [$957$] равна
где h = 6.625[$183$]10[sup]-34[/sup] Дж[$183$]с - постоянная Планка, c = 2.998[$183$]10[sup]8[/sup] м/с - скорость света. При ионизации атома часть этой энергии расходуется на нейтрализацию энергии связи электрона E[sub]1[/sub], остальная энергия переходит в кинетическую энергию освободившегося электрона, то есть
где m = 9.11[$183$]10[sup]-31[/sup] кг и v - масса и скорость электрона. Попав в магнитное поле с индукцией B, электрон будет описывать окружность радиусом
где e = 1.6[$183$]10[sup]-19[/sup] Кл - заряд электрона. Тогда
и
откуда
В данном случае r = 1 мм = 0.001 м, [$955$] = 88.6 нм = 8.86[$183$]10[sup]-8[/sup] м, для атомарного водорода E[sub]1[/sub] = 13.6 эВ = 2.17[$183$]10[sup]-18[/sup] Дж и
Тлили примерно 2.26 мТл.
5
Это самое лучшее решение!
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