This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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2rF'$) will be:
Here are the solutions to the multiple-choice questions:
1. If distance between two charges is doubled, the Coulomb force becomes: Step 1: Recall Coulomb's Law, which states that the electrostatic force () between two charges is inversely proportional to the square of the distance () between them: . Step 2: If the distance is doubled (), the new force () will be: The force becomes one-fourth of the original force. The correct option is (B) One-fourth.
2. The dimensional formula of electric potential is: Step 1: Electric potential () is defined as work done () per unit charge (): . Step 2: The dimensions of work (energy) are . Step 3: The dimensions of charge are (current time). Step 4: Substitute these dimensions into the formula for electric potential:
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This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.