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Консультация № 191837
21.11.2017, 21:16
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Протон и однозарядный ион Лития влетают со скоростью 10 км/с каждый в однородное магнитное поле с индукцией 0,5 Тл перпендикулярно линиям индукции. На сколько отличаются радиусы их траектрорий ?
Протон и однозарядный ион Лития влетают со скоростью 10 км/с каждый в однородное магнитное поле с индукцией 0,5 Тл перпендикулярно линиям индукции. На сколько отличаются радиусы их траектрорий ?
Обсуждение
21.11.2017, 23:34
общий
это ответ
Здравствуйте, valermironova!
Дано:
1. p+
2. Li1+
v=104 м/с
B=0.5 Тл
[$945$]=90[$186$]
Найти: [$916$]R
Решение:
1. На заряд, движущийся в магнитном поле, действует сила Лоренца
F=q*v*B, sin[$945$]=1, т.к. [$945$]=90[$186$] (1)
2. Согласно 2 закону Ньютона
F=m*a=m*v2/R (2)
Следовательно, приравнивая правые части (1) и (2), получаем
R=(mv)/(qB) (3)
Поскольку q1=q2=e=1.6*10-19 Кл
Тогда
[$916$]R=R2-R1=(v/eB)*(m2-m1) (3) - расчетная формула.
Здесь
m1=1 а.е.м. - масса протона
m2=7 а.е.м. - масса иона лития
1 а.е.м. = 1,7*10-27 кг.
Подставляем значения величин в формулу (3)
Получаем
[$916$]R=[10-4/(1.6*10-19*0.5)]*(7-1)*1.7*10-27=12,75*10-4 м = 1,3 мм
Удачи
Дано:
1. p+
2. Li1+
v=104 м/с
B=0.5 Тл
[$945$]=90[$186$]
Найти: [$916$]R
Решение:
1. На заряд, движущийся в магнитном поле, действует сила Лоренца
F=q*v*B, sin[$945$]=1, т.к. [$945$]=90[$186$] (1)
2. Согласно 2 закону Ньютона
F=m*a=m*v2/R (2)
Следовательно, приравнивая правые части (1) и (2), получаем
R=(mv)/(qB) (3)
Поскольку q1=q2=e=1.6*10-19 Кл
Тогда
[$916$]R=R2-R1=(v/eB)*(m2-m1) (3) - расчетная формула.
Здесь
m1=1 а.е.м. - масса протона
m2=7 а.е.м. - масса иона лития
1 а.е.м. = 1,7*10-27 кг.
Подставляем значения величин в формулу (3)
Получаем
[$916$]R=[10-4/(1.6*10-19*0.5)]*(7-1)*1.7*10-27=12,75*10-4 м = 1,3 мм
Удачи
5
Спасибо огромное!!!
Об авторе:
С уважением
shvetski
С уважением
shvetski
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