Assuming the boulder Superboy
is carrying is roughly a sphere with a diameter of 1.20 meters (3.94
feet) then the radius of the boulder is 0.60 m, or 60 cm.
The volume of the boulder
would be:
4/3 π r3 = 4/3 π (60cm)3 = 9.05 x 105cm3
The density of uraninite is 10.88 g/cm3, so the mass of
the boulder is:
9.05 x 105 cm3 x
10.88 g/cm3 = 9.85 x 106 g
Uraninite gives off 1.98 millirems/hour/gram, so the boulder emits
9.85 x 106 g x
1.98 mrem/hr/g = 1.95 x 107mrem/hour
Now some fudge factors
come into play:
The radiation exposure
given above is the exposure at the surface of the boulder. I’m going to say that Ted and the teacher are
twice as far back as Superboy was, so their exposure
is one-fourth as much (thanks to the inverse square law). I’m also going to assume that the class is
standing next to the boulder for five minutes (after all, who wouldn’t want to
see the boulder Superboy flew in, especially since it
allowed Ted to show up the spoiled rich kid).
Thus, Ted and the teacher
received:
1.95 x 107 mrem/hour
divided by 12 (length of exposure) divided by four (distance from
boulder), or
4.06 x 105 mrem (406000 mrem = 406 rem = 4060 mSv = 4.06 Sv)
An exposure of this magnitude
is considered “Acute Radiation Poisoning,” with a fatality rate of 60%.
Now, I’m also assuming
that Superboy found a vein of pitchblende
particularly high in uranium ore content -- because he’s Superboy
and he doesn’t do things by half. On the
other hand, the average pitchblende is about 80% uranium ore, which would
decrease Ted’s exposure by 20%, or make it 325 rem. This is
a little better as it’s just “Severe Radiation Poisoning,” with a 50% fatality
rate.