Two masses are separated by a distance r. If both masses are doubled, the force of interaction between the two masses changes by a factor of ______?

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Two masses are separated by a distance r. If both masses are doubled, the force of interaction between the two masses changes by a factor of ______? Answer: 4

According to Newton’s Law of Gravitation: 𝐹 =𝐺⋅𝑚1⋅𝑚2/𝑟2 If both masses 𝑚1 and 𝑚2 are doubled, the new force becomes: 𝐹′=𝐺⋅(2𝑚1)⋅(2𝑚2)/𝑟2 =4⋅𝐹=4⋅F So, the force increases by a factor of 4.

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This question is part of 🔬 General Science within the broader 🌐 Current Affairs & GK subject and appears in the ETEA Educational Testing and Evaluation Agency preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.