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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Секунда определяется как промежуток времени, равный сумме 9 192 631 770 периодов излучения, соответствующего переходу между двумя сверхтонкими уровнями основного состояния атома цезия - 133. Чему равна длина волны L этого излучения? необходимо решение
Здравствуйте, Оксана! Дано : N = 9192631770 Вычислить [$955$]
Решение : Поскольку за время t=1 сек совершается N колебаний, то период таких колебаний равен T = t/N = 1 / 9192631770 = 1,088·10-10 сек.
Читаем справочную статью "Длина волны" ru.wikipedia.org/wiki/Длина_волны , цитирую : "Длина волны - расстояние между 2мя ближайшими друг к другу точками в пространстве, в которых колебания происходят в одинаковой фазе… Длина волны соответствует пространственному периоду волны, то есть расстоянию, кот-е точка с постоянной фазой "проходит" за интервал времени, равный периоду T колебаний, поэтому [$955$] = V·T Для электромагнитных волн в вакууме скорость V в этой формуле равна скорости света (299 792 458 м/с)"
Скорость света в воздухе практически равна скорости света в вакууме, то есть V = c = 299,8·106 м/с . Таким образом, искомая длина волны [$955$] = с·T = 299,8·106·1,088·10-10 = 0.033 м Ответ : Длина волны излучения равна 33 мм.
См также статью по теме Вашего Вопроса "В погоне за точностью: единый эталон времени" nkj.ru/archive/articles/16859 : за атомную секунду совершается число периодов колебаний цезиевого генератора, равное его частоте, составляющей 9 192 631 770 Гц (~ 9,2 Ггц).
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