To analyze the situation described, we need to understand the interactions of charges.
- A positively charged rod is brought near sphere A.
- Sphere A is initially neutral, meaning it has equal amounts of positive protons and negative electrons.
- The presence of the positively charged rod induces a separation of charges within sphere A, attracting the negative electrons closer to the rod and repelling the positive protons away. This makes sphere A have an excess of negative charge on the side closer to the rod and a positive charge on the side farther from the rod.
- Sphere B, which is also neutral, is affected by the field but remains neutral overall unless charged.
Now let's evaluate the answer choices provided:
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Sphere A is negative and sphere B is positive because protons from sphere A are attracted to the rod and move to sphere B.
- This isn't correct; protons do not move through conductors in this situation.
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Sphere A is negative and sphere B is positive because electrons from sphere B are attracted to the rod and move to sphere A.
- This is not correct; sphere B remains neutral, and the electrons move towards the positively charged rod instead.
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Sphere A is positive and sphere B is negative because electrons from the rod move to sphere B and protons then move to sphere A.
- This choice suggests that electrons from the rod are transferred to sphere B, which isn't correct. Electrons from the rod do not move to sphere B in this setup.
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Sphere A is positive and sphere B is negative because protons move from sphere B to the rod and also to sphere A.
- This isn't accurate either; protons do not move in this scenario.
In conclusion, none of the provided answer choices accurately describe the situation as presented. Sphere A becomes negatively charged due to the attraction of negative electrons towards the positively charged rod, while sphere B remains neutral. If the spheres are conductive and allowed to touch or if they were connected, the charges could redistribute, but as stated, one sphere does not gain a charge from the other in this circumstance based solely on the description provided.