Answer
The dose equivalent is $~~60~mrem$
Work Step by Step
Radiation Dose = (Absorbed Dose) X (RBE)
The RBE for beta radiation is 1.5
We can find the radiation dose of beta radiation:
$Radiation ~Dose = (Absorbed ~Dose) \times (RBE)$
$Radiation ~Dose = (\frac{E}{m}) \times (RBE)$
$Radiation ~Dose = (\frac{0.020~J}{50~kg}) \times (1.5)$
$Radiation ~Dose = 0.60~mSv$
$Radiation ~Dose = (0.60~mSv)(\frac{100~mrem}{1~mSv})$
$Radiation ~Dose = 60~mrem$
The dose equivalent is $~~60~mrem$