Your quality control$/$quality assurance manager has requested your assistance in the testing and repair facility. One of the test procedures utilizes a radiation source that is emitting gamma radiation at a rate of $50$ mrem$/$hour at a distance of $1$ foot. This testing is done for approximately $2$ hours per day, $2$ days per week. The Occupational Safety and Health Administration $($OSHA$)$ has a PEL of $1\mathrm{.}25$ rem per quarter and $5$ rem per year.a$.$ Determine the employee's exposure for $1$ year.b$.$ Calculate the exposure rate if the employee was moved to a distance of $3$ feet from the radiation source.c$.$ Calculate the exposure rate of the employee if a $5$ cm lead shield was installed between the source and thedetector. The employee is working at a distance of $1$ foot from the source. $[$ for lead, $(662$ keV gamma ray$)=1\mathrm{.}23$cm$-1]$