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Консультация № 161196
23.02.2009, 15:33
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Под каким углом виден спектр второго порядка при освещении дифракционной решетки светом с длиной волны 656 нм? Период дифракционной решетки равен 5*10^-3 мм.
Обсуждение
Неизвестный
23.02.2009, 21:54
общий
26.02.2009, 19:37
это ответ
Здравствуйте, Krasnov M!
Согласно формуле дифракционной рещетки
d*sin([$966$])=k*L
d - период решетки
L- длина волна
k - порядок спектра
sin([$966$]) = (2*656*10-9)/(5*10[sup]-3[/sup])=262.4*10[sup]-6[/sup]
sin([$966$]) = (2*656*10-9 м)/(5*10-6 м)=0,2624
по таблицам синусов этому значению соответствуюет угол0.15 15,21 градусов
Согласно формуле дифракционной рещетки
d*sin([$966$])=k*L
d - период решетки
L- длина волна
k - порядок спектра
sin([$966$]) = (2*656*10-9)/(
sin([$966$]) = (2*656*10-9 м)/(5*10-6 м)=0,2624
по таблицам синусов этому значению соответствуюет угол
Неизвестный
25.02.2009, 22:13
общий
Опечатка,
.../(5*10^-3) это в миллиметрах
А если в формулу подставить правильное значение
5e-6 (м)
то получим значение угла для второго порядка
f= arcsin(2*656e-9/5e-6)= 0,265509 (рад)= 15,2 (градуса)
____
кстати arcsin(262.4*10^-6) это не 0.15 градусов, 0.015.
По мнению виндоусовского калькулятора.
Вообще то для нахождения арксинуса малых углов инженерный колькулятор и не нужен.
Пройдет любой калькулятор, типа такого каким продавцы пользуются
(262.4*180/3.142)/1000 000= 0,0150 (градусов)
а в радианах само малое число и есть
262.4*10^-6 (рад)
.../(5*10^-3) это в миллиметрах
А если в формулу подставить правильное значение
5e-6 (м)
то получим значение угла для второго порядка
f= arcsin(2*656e-9/5e-6)= 0,265509 (рад)= 15,2 (градуса)
____
кстати arcsin(262.4*10^-6) это не 0.15 градусов, 0.015.
По мнению виндоусовского калькулятора.
Вообще то для нахождения арксинуса малых углов инженерный колькулятор и не нужен.
Пройдет любой калькулятор, типа такого каким продавцы пользуются
(262.4*180/3.142)/1000 000= 0,0150 (градусов)
а в радианах само малое число и есть
262.4*10^-6 (рад)
Форма ответа
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