A hand-held detector indicates that Alpha particles of charge q=+2e(qe+1.60*10^-

Question

A hand-held detector indicates that Alpha particles of charge q=+2e(qe+1.60*10^-19 C) and mass m= 6.6*10^-27 kg are being emitted froma sample of radioactive rock at a speed of 1.6*10^5 m/s Determine: i) the magnetic field strength required to bend theseparticles into circular path of radius r = 0.05m in thedetector. ii)the total change in kinetic energy of the particles oncethey have entered the magnetic field. iii)the electric potential difference needed to stop theparticles. i) the magnetic field strength required to bend theseparticles into circular path of radius r = 0.05m in thedetector. ii)the total change in kinetic energy of the particles oncethey have entered the magnetic field. iii)the electric potential difference needed to stop theparticles.

Explanation / Answer

magnetic force: F=qvB=m*v^2/r => r=mv/qB =>B=mv/qr=0.066 T ii) there is no change in kinetic energy of theparticle: iii) the electric potential difference needed to stop theparticles. Eq=m*v^2/2 => E= 264 V

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