A metal strip $7\mathrm{.}97$ cm long, $0\mathrm{.}836$ cm wide, and $0\mathrm{.}638$ mm thick moves with constant velocity through a uniform magnetic field $B=1\mathrm{.}13$ mT directed perpendicular to the strip, as shown in the figure. A potential difference of $4\mathrm{.}29V$ is measured between points $x$ and $y$ across the strip. Calculate the speed $v.$

hat$(v)vec(v)$

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An alpha particle $(q=+2e,m=4\mathrm{.}00u)$ travels in a circular path of radius $6\mathrm{.}40$ cm in a uniform magnetic field with $B=1\mathrm{.}78$ T$.$ Calculate $($a$)$ its speed, $($b$)$ its period of revolution, $($c$)$ its kinetic energy, and $($d$)$ the potential difference through which it would have to be accelerated to achieve this energy.

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