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Консультация № 197270
30.11.2019, 13:13
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Здравствуйте! Прошу помощи в следующем вопросе:
Электрон движется в атоме водорода со скоростью 1,5×106 м/с.
Найти:
8) длину волны де Бройля электрона;
9) неопределенность координаты электрона (округлив ее значение до одной значащей цифры), если неопределенность скорости составляет 5% от ее величины
Электрон движется в атоме водорода со скоростью 1,5×106 м/с.
Найти:
8) длину волны де Бройля электрона;
9) неопределенность координаты электрона (округлив ее значение до одной значащей цифры), если неопределенность скорости составляет 5% от ее величины
Обсуждение
05.12.2019, 07:39
общий
это ответ
Здравствуйте, alina.anischenko!
Согласно представлениям квантовой механики, частица массы m, движущаяся со скоростью v, обладает свойствами волны с длиной
где h = 6.6261[$183$]10[sup]-34[/sup] Дж[$183$]с - постоянная Планка. В данном случае m = 9.1094[$183$]10[sup]-31[/sup] кг - масса электрона, v = 1.5[$183$]10[sup]6[/sup] м/с и
м = 6.313 ангстрем - длина волны де Бройля электрона.
Согласно принципу Гейзенберга, для частицы массы m неопределённости её координаты [$916$]x и скорости [$916$]v связаны соотношением
В данном случае [$916$]v = 0.05v = 0.05[$183$]1500000 = 75000 м/с, откуда
м = 15.436 ангстрем.
Согласно представлениям квантовой механики, частица массы m, движущаяся со скоростью v, обладает свойствами волны с длиной
где h = 6.6261[$183$]10[sup]-34[/sup] Дж[$183$]с - постоянная Планка. В данном случае m = 9.1094[$183$]10[sup]-31[/sup] кг - масса электрона, v = 1.5[$183$]10[sup]6[/sup] м/с и
м = 6.313 ангстрем - длина волны де Бройля электрона.Согласно принципу Гейзенберга, для частицы массы m неопределённости её координаты [$916$]x и скорости [$916$]v связаны соотношением
В данном случае [$916$]v = 0.05v = 0.05[$183$]1500000 = 75000 м/с, откуда
м = 15.436 ангстрем.
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