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You are designing a Lead shield for an experiment in a nuclear research lab. You have...

You are designing a Lead shield for an experiment in a nuclear research lab. You have a large number of high-quality plates made out of the same Lead alloy. A 14.0 mm thick plate made out of this alloy absorbs 33.1 percent of the incoming gamma radiation with an energy of 1.61 MeV.

What is the minimum thickness of the shield, if the desired radiation intensity in the protected area cannot be higher than 8.00 % of the incoming radiation intensity?

Also according to my homework website, the answer isn't 84.00 mm, 98.00 mm, or 112.0 mm.

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