Concept explainers
According to Coulomb’s law, a pair of particles that are placed twice as close to each other will experience forces
(a) twice as strong.
(b) four times as strong.
(c) half as strong.
(d) one-quarter as strong.
The correct option for the statement “According to Coulomb’s law, a pair of particles that are placed twice as close to each other will experience forces”.
Answer to Problem 2RAT
The correct option for the statement “According to Coulomb’s law, a pair of particles that are placed twice as close to each other will experience forces” is option (d).
Explanation of Solution
According to Coulomb’s law, the force between a pair of particles depends inversely to the square of separated distance between them.
The distance between the particles is twice, then the force between them as depends inversely to the square of distance becomes one-quarter times.
Now, the particles placed closed to each other experience a less force that is one-quarter times of the initial ones, so if the particles have similar charges between them, then they experience a less repulsive force. If the charges are of opposite kind, then they experience less attractive force by one-quarter times it was experiencing initially.
Conclusion:
Therefore, the correct option for the statement “According to Coulomb’s law, a pair of particles that are placed twice as close to each other will experience forces” is option (d).
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