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AP EAMCET · PHYSICS · Gravitation

Two bodies of equal masses are some distance apart. If \(20 \%\) of mass is transferred from the first body to the second body, then the gravitational force between them

  1. A increase by \(4 \%\)
  2. B increase by \(14 \%\)
  3. C decreases by \(4 \%\)
  4. D decreases by \(14 \%\)
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Correct Answer

(C) decreases by \(4 \%\)

Step-by-step Solution

Detailed explanation

(c) Initially force, \[ F_1=\frac{G m^2}{r^2} \] When \(20 \%\) mass is transferred from one body to another, then their masses are \[ m_1=\frac{80}{100} m \text { and } m_2=\frac{120}{100} m \] So, force is finally \[ F_2=\frac{G m^2}{r^2} \times\left(\frac{24}{25}\right) \]…
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