A proton and an α -particle, accelerated through the same potential difference, enter in a uniform magnetic field normally. If the radius of the proton orbit is 10 cm , then the radius of α -particle

Question

A proton and an α -particle, accelerated through the same potential difference, enter in a uniform magnetic field normally. If the radius of the proton orbit is 10 cm , then the radius of α -particle is

TestHub · Accepted Answer

R = m v q B R α R p = m α v α q α m p v p q p = 2 v α v p Beacuse q α = 2 q p m α = 4 m p as they are acclerated by same potential Equation of α = q α V = 2 q p V 1 2 m α × V α 2 = 2 1 2 m P V p 2 V α V P = 1 2 Hence R α R P = 2 × 1 2 = 2 R α = 2 R P = 10 2 cm

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