Physics

Problem

An alpha particle (mass

6.64\times10^{-27}\,\text{kg}

, charge

+3.2\times10^{-19}\,\text{C}

) is accelerated from rest through a potential difference of

2.0\,\text{kV}

and then enters a region of uniform magnetic field

0.10\,\text{T}

at an angle of

60^{\circ}

with the field direction. a. (i) Calculate the speed acquired by the alpha particle before it enters the magnetic field. b. (ii) Determine the radius of the circular component of its motion in the magnetic field. c. (iii) Compute the pitch of the helical path. d. (iv) How much time will the particle take to advance a distance of

5.0\,\text{cm}

along the direction of the magnetic field?

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