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Physics · GRAVITATION

हिन्दी

Two uniform solid spheres of radii \( R \) have masses \( M \) and \( 4M \), and their centres are separated by a fixed distance of \( 6R \). The distance from the centre of the sphere of mass \( M \) along the line joining their centres where the net gravitational force on a test particle is zero is:

  1. \( 4R \)
  2. \( 3R \)
  3. \( 2R \)
  4. \( 1.5R \)

Correct answer · Option 3

\( 2R \)

Explanation

At the neutral point, \( \frac{GMm}{r^2} = \frac{4GMm}{(6R-r)^2} \implies (6R-r)^2 = 4r^2 \implies 6R-r = 2r \implies r = 2R \).
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