A \( 10 \mathrm{C} \) charge is given to a conducting spherical shell, and \( \mathrm{a}-3 \math...

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A \( 10 \mathrm{C} \) charge is given to a conducting spherical shell, and \( \mathrm{a}-3 \mathrm{C} \) point charge is placed inside the shell. For this arrangement, find the correct statement(s).
(1) The charge on the inner surface of the shell will be \( +3 \mathrm{C} \), and it can be distributed uniformly or nonuniformly.
(2) The charge on the inner surface of the shell will be \( +3 \mathrm{C} \), and its distribution would be uniform.
(3) The net charge on the outer surface of the shell will be \( +7 \mathrm{C} \), and its distribution can be uniform or nonuniform.
(4) The net charge on the outer surface of the shell will be \( +7 \mathrm{C} \), and its distribution would be uniform.
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