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Charge is distributed within a sphere of radius \( R \) with a volume charge density \( \rho(r)=\frac{A}{r^{2}} e^{\frac{-2 r}{a}} \), where \( A \) and \( a \) are constants. If \( Q \) is the total charge of this charge distribution, the radius \( R \) is
 
(a) a \( \log \left(\frac{1}{1-\frac{Q}{2 \pi a A}}\right) \)
(b) \( a \log \left(1-\frac{Q}{2 \pi a A}\right) \)
(c) \( \frac{a}{2} \log \left(1-\frac{Q}{2 \pi a A}\right) \)
(d) \( \frac{a}{2} \log \left(\frac{1}{1-\frac{Q}{2 \pi a A}}\right) \)
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