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Консультация № 200294
19.02.2021, 10:13
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Здравствуйте! У меня возникли сложности с таким вопросом: Однозарядные ионы неона с массовыми числами 20 и 22 и кинетической энергией 6,2*10-16 Дж влетают в однородное магнитное поле перпендикулярно к линиям магнитной индукции и, описав полуокружность, вылетают из поля двумя пучками. Определить расстояние между пучками, если магнитное поле находится в вакууме и его индукция В=0,5 Тл.
Обсуждение
19.02.2021, 14:31
общий
это ответ
Здравствуйте, vladislav.makeev88!
Приравняем центростремительную силу силе Лоренца и найдем радиус окружности R,
по которой движутся ионы:
mv^2/R = q*v*B, R = (m*v)/q*B) = sqrt(2m*E)/q*B. (1)
Массы ионов равны:
m1 = 20*1,66*10-27 кг, m2 = 22*1,66*10-27 кг,
где 1,66*10-27 кг - атомная единица массы.
Заряды однозарядных ионов равны q = 1,602*10-19 Кл (заряд электрона).
Подставляя в формулу (1) эти значения и E, B из условий задачи, найдем
R1 = sqrt(2*20*1.66*10-27*6.2*10-16)/(1.6*10-19*0.5) = 0.0802 м = 8 см
R2 = sqrt(2*22*1.66*10-27*6.2*10-16)/(1.6*10-19*0.5) = 0,0841 м = 8,4 см
Расстояние между пучками равно разности диаметров орбит, т.е., примерно 8 мм.
Приравняем центростремительную силу силе Лоренца и найдем радиус окружности R,
по которой движутся ионы:
mv^2/R = q*v*B, R = (m*v)/q*B) = sqrt(2m*E)/q*B. (1)
Массы ионов равны:
m1 = 20*1,66*10-27 кг, m2 = 22*1,66*10-27 кг,
где 1,66*10-27 кг - атомная единица массы.
Заряды однозарядных ионов равны q = 1,602*10-19 Кл (заряд электрона).
Подставляя в формулу (1) эти значения и E, B из условий задачи, найдем
R1 = sqrt(2*20*1.66*10-27*6.2*10-16)/(1.6*10-19*0.5) = 0.0802 м = 8 см
R2 = sqrt(2*22*1.66*10-27*6.2*10-16)/(1.6*10-19*0.5) = 0,0841 м = 8,4 см
Расстояние между пучками равно разности диаметров орбит, т.е., примерно 8 мм.
5
спасибо большое!!!
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