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Задать вопрос экспертам

Консультация № 178912

05.06.2010, 15:31

0.00 руб.

0 1 1

Образование

Здравствуйте,
426. Ионы двух изотопов с массами m1 = 6,510–26 кг и m2 = 6,810–26 кг, ускорен-ные разностью потенциалов U=0,5 кВ, влетают в однородное магнитное поле с ин-дукцией В=0,5 Тл перпендикулярно линиям индукции. Принимая заряд каждого иона равным элементарному электрическому заряду, определить, насколько будут отличаться радиусы траекторий ионов изотопов в магнитном поле

Обсуждение

давно

Киселев Виталий Сергеевич

Академик
324866
619

08.06.2010, 12:25

общий

это ответ

Здравствуйте, max123.
Потенциальная энергия ионов W=qU=eU
Эта энергия переходит в кинетическую W=mV²/2
eU=mV²/2
V=[$8730$](2eU/m)
В магнитном поле на ионы действует сила Лоренца F=eVBsina=eVB
По второму закону Ньютона F=ma=mV²/R
eVB=mV²/R
V=eBR/m
[$8730$](2eU/m)=eBR/m
R=1/B*[$8730$](2mU/e)
R₁=1/0.5*[$8730$](2*6.5*10^-26*500/1.6*10^-19)=4 см
R₂=1/0.5*[$8730$](2*6.8*10^-26*500/1.6*10^-19)=4,1 см

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