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A beam of mixture of `alpha` particle and protons are accelerted through same potential difference before entering into the magnetic field of strength B. if `r_1=5` cm then `r_2` is

A

`5 cm`

B

`5sqrt2cm`

C

`10sqrt2cm`

D

`20 cm`

Text Solution

Verified by Experts

The correct Answer is:
b
`r=(mv)/(qB) =sqrt(2mE)/(qB)=sqrt(2mqV)/(qB)=sqrt(m/q)xx(sqrt2V)/B`
`implies (r_2)/(r_1)=sqrt(4/1)xxsqrt(1/2)=sqrt2implies r_2=sqrt2r_1=5sqrt2cm`
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