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Консультация № 174639
28.11.2009, 16:46
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Доброго времени суток уважаемые эксперты! Помогите пожалуйста в решении задачи.
Узкий пучок γ-излучения (энергия ε гамма-фотонов равна 2,4 МэВ) проходит через бетонную плиту толщиной x1=1м. Какой толщины x2 плита из чугуна дает такое же ослабление данного пучка γ-излучения? При вычислениях воспользоваться таблицей 1.
Заранее благодарю!
С уважением, Дмитрий.
Приложение:
Таблица 1:
http://s42.radikal.ru/i097/0911/a9/8301a2d56afa.jpg
Узкий пучок γ-излучения (энергия ε гамма-фотонов равна 2,4 МэВ) проходит через бетонную плиту толщиной x1=1м. Какой толщины x2 плита из чугуна дает такое же ослабление данного пучка γ-излучения? При вычислениях воспользоваться таблицей 1.
Заранее благодарю!
С уважением, Дмитрий.
Приложение:
Таблица 1:
http://s42.radikal.ru/i097/0911/a9/8301a2d56afa.jpg
Обсуждение
28.11.2009, 17:54
общий
это ответ
Здравствуйте, Веселов Дмитрий Валерьевич.
Пусть интенсивность исходного излучения I0
Физический смысл коэфициента поглощения dI/dx=I*[$956$]
решение данного диф. уравнения I=I0*e-[$956$]x
I0*e-[$956$]1x1=I0*e-[$956$]2x2
e-[$956$]1x1=e-[$956$]2x2
[$956$]1x1=[$956$]2x2
x2=x1[$956$]1/[$956$]2
Считываем данные с графика
[$956$]1=0,08 см-1
[$956$]2=0,27 см-1
х2=1м*0,08см[sup]-1[/sup]/0,27см[sup]-1[/sup]=0,296≈0,3 м=30 см
Пусть интенсивность исходного излучения I0
Физический смысл коэфициента поглощения dI/dx=I*[$956$]
решение данного диф. уравнения I=I0*e-[$956$]x
I0*e-[$956$]1x1=I0*e-[$956$]2x2
e-[$956$]1x1=e-[$956$]2x2
[$956$]1x1=[$956$]2x2
x2=x1[$956$]1/[$956$]2
Считываем данные с графика
[$956$]1=0,08 см-1
[$956$]2=0,27 см-1
х2=1м*0,08см[sup]-1[/sup]/0,27см[sup]-1[/sup]=0,296≈0,3 м=30 см
Форма ответа
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