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An alpha- particle and a proton are acce...

An `alpha-` particle and a proton are accelerated through same potential difference. Find the ratio. `(v_(alpha)//v_(p))` of velocities acquired by two particles.

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If a particle of mass m and charge q on accelerating through a potential difference V acquires a velocity v then `(1)/(2)mv^(2)=qV or v=sqrt((2qV)/(m))`
`rArr" "(v_(alpha))/(v_(p))=sqrt((a_(alpha))/(q_(p))xx(m_(p))/(m_(alpha)))" [Since V = constant]"`
`rArr" "(v_(alpha))/(v_(p))=sqrt(2xx(1)/(4))=sqrt((1)/(2)) or v_(alpha):v_(p)=1:sqrt2`.
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