Each bundle is $1$ cm

long and $10$ m in diameter. In the collision region of the LINAC where the speeds are uniform,

each particle has a total relativistic energy of $36\mathrm{.}134$ MeV. $($a$)$ How long and how wide is each

bundle in its own reference frame? $($b$)$ What must be the minimum proper length of the LINAC

tube for a bundle to have both its ends simultaneously in the accelerator in its own reference

frame?