ENTER THE FINAL ANSWER TO PART B INTO THE ANSWER BOX BELOW.

An isolated conducting sphere of radius $10cm,$ initially uncharged, is illuminated by

ultraviolet light of wavelength $210nm.$ With each photoelectron emitted from the

conductor, there will be an increasing positive charge building on the surface of the

sphere.

A$)$ What is the maximum kinetic energy of the first electron emitted from the

surface of the sphere?

B$)$ What is total charge$($maximum$)$ that the photoelectric effect will induce on the

sphere? The work function for this conductor is $1\mathrm{.}6eV.$ State the answer in $pC$ to

the nearest hundredth of $pC.$

Take Planck's constant to be $h={6\mathrm{.}626}^{**}{10}^{-34}J*s,$ the speed of light to be $c=3^{**}{10}^8$

$\frac{m}{s},1eV={1\mathrm{.}6}^{**}{10}^{-19}J,$ and the mass of an electron to be $m_e={9\mathrm{.}11}^{**}{10}^{-31}$

$kg=0\mathrm{.}511Me\frac{V}{c^2}.$Take the permittivity of free space to be ${}_0=\frac{1}{4k_e}$;

$k_e=8\mathrm{.}99{10}^{9}N\frac{m^2}{C^2}$

NOTE: $1pC=1$ picoCoulomb $=1{10}^{-12}C\mathrm{.}1e=1\mathrm{.}6{10}^{-19}C.$