A proton and an `alpha` particle accellerated throught the same potential differenc e enter a region of uniform magnetic field normally if the radius

Question

A proton and an `alpha` particle accellerated throught the same potential differenc e enter a region of uniform magnetic field normally if the radius

A proton and an `alpha` particle accellerated throught the same potential differenc e enter a region of uniform magnetic field normally if the radius of the proton orbit is 10 cm ten radius of `alpha` particle is
A. `10 cm`
B. `10sqrt(2)cm`
C. `20cm`
D. `5sqrt(2)cm`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
Radius of path `r_(1)=(1)/(B)sqrt(2mv)/(q)`
`therefore (r_(alpha))/(r_(p))=sqrt(m_(alpha))/(m_(p))sqrt(q_(p))/(q_(alpha))`
`rarr (r_(alpha))/(10)=sqrt(4/2) rarr r_(alpha) =10sqrt(2) cm`

4 views Answered 2023-02-05 15:29