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A proton, a deuteron and an o particle e...

A proton, a deuteron and an o particle enter a magnetic field perpendicular to field with same velocity. What is the ratio of the radii of circular paths?

A

`1:2:2`

B

`2:1:1`

C

`1:1:2`

D

`1:2:1`

Text Solution

Verified by Experts

The correct Answer is:
A

When a charged particles of charge q and mass m enters with velocity v perpendicular to magnetic field B,it follows a circular path whose radius is given by `r=(mv)/(Bq)`
`rprop(m)/(q)` for the same value of v and B.
`:.r_(p):r_r_(alpha)= (mp)/(qp):(md)/(qd):(m_(alpha))/(q_(alpha))`
where subscripts p, d and `alpha` represent proton , deuteron and `alpha` particles respectively.
`:.r_(p):r_r_(alpha)= (m)/(qp):(2m)/(e):(4m)/(2_(e))=1:2:2`
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