The Maximum Permissible Workday Dose for Occupational Exposure to Radiation $11 \mathrm { mrem }$

The maximum permissible workday dose for occupational exposure to radiation is $11 \mathrm { mrem }$ . A 77-kg laboratory technician absorbs $2.3 \mathrm {~mJ}$ of $0.5 - \mathrm { MeV }$ gamma rays in a work day. The relative biological effectiveness (RBE) for gamma rays is $1.00$ . What is the number of gamma-ray photons absorbed by the technician in a workday?

A) $1 \times 10 ^ { 9 }$
B) $1 \times 10 ^ { 8 }$
C) $3 \times 10 ^ { 9 }$
D) $3 \times 10 ^ { 8 }$
E) $3 \times 10 ^ { 10 }$