Ionized hydrogen atoms and \alpha - particle with same momentum enters perpendicular to a constant magnetic field B . The ratio of their radii of their paths r _H : r _ \alpha will be : 

 

  • Option 1)

    2: 1 

  • Option 2)

    1 : 2 

  • Option 3)

    4 : 1 

  • Option 4)

    1 : 4 

 

Answers (1)

r = mv/qB = P / qB 

p is same for both 

He^+ \: \: \: \: \Rightarrow q _{He ^+ } = 1 e \\\\ He ^{2+ }\Rightarrow \: \: \: q _{ He ^{2+}}= 2 e \\\\ so \: \: \frac{r _H }{r _{He}}= \frac{q _{He ^{2+}}}{q _{He ^+ }} = 2


Option 1)

2: 1 

Option 2)

1 : 2 

Option 3)

4 : 1 

Option 4)

1 : 4 

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