A physicist has developed a device that generates a beam of alpha particles each of which is a helium nucleus, consisting of two

protons, two neutrons, and no electrons. The device ejects a steady stream of $4910$ alpha particles per second.

In order to test different shielding materials for a test chamber that will house the alpha particle generator, prepare a sheet of one

potential material in an electrically neutral state, mount it on a perfectly insulating stand, and fire the alpha particle device at it

for $37\mathrm{.}3$ seconds.

Afterward, the charge of the sheet is $2\mathrm{.}58{10}^{-14}C.$ Assume that none of the alpha particles bounced back from the sheet,

meaning that the alpha particles were either captured by the shielding or penetrated completely through the shielding. What

percentage of the alpha particles penetrated completely through the shielding material?

percentage of alpha particles: