By definition, the equivalent dose will be:
H=RBEα⋅Dα+RBE⋅Dγ where Dα=mEα and Dγ=mEγ are absorbed dose from alpha particles and gamma rays respectively. Thus:
H=RBEα⋅mEα+RBE⋅mEγ
Substitute numerical values:
H=20⋅75kg3J+1⋅75kg10J=75kg70J≈0.93Sv=93rem
Answer. The equivalent dose is 93 rem.
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