Answer
600 Gy of gamma-ray photons causes the same biological damage.
Work Step by Step
Radiation Dose = (Absorbed Dose) X (RBE)
The RBE for gamma rays is 1.0
The RBE for alpha radiation is 20
We can find the radiation dose of alpha radiation:
Radiation Dose = (Absorbed Dose) X (RBE)
Radiation Dose = (30) X (20)
Radiation Dose = 600
We can find the required absorbed dose of gamma-ray photons:
Radiation Dose = (Absorbed Dose) X (RBE) = 600
(Absorbed Dose) X (1.0) = 600
Absorbed Dose = 600 Gray
Therefore, 600 Gy of gamma-ray photons causes the same biological damage.