A solid, conducting sphere of radius \( a=0.40 \mathrm{~m} \) has a total
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charge \( Q=5 \mathrm{nC} \) is placed at the center of a conducting spherical shell with radii ( \( b=0.8 \mathrm{~m} \) and \( c=1.0 \mathrm{~m} \) ). If the conducting shell carries a net charge of 15 nC , the net induced charges on the outer and inner surface of the shell are respectively:
A. \( (-5 \mathrm{nC}, 15 \mathrm{nC}) \)
B. \( (-5 \mathrm{nC}, 20 \mathrm{nC}) \)
C. \( (5 \mathrm{nC}, 15 \mathrm{nC}) \)
D. \( (5 \mathrm{nC}, 10 \mathrm{nC}) \)