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Physics · GRAVITATION

हिन्दी

A point mass \( m \) is placed inside a thin, uniform hollow spherical shell of total mass \( M \) and radius \( R \) at a distance \( r = \frac{R}{3} \) from the centre. The gravitational force exerted on the point mass by the shell is:

  1. Zero
  2. \( \frac{G M m}{3 R^2} \)
  3. \( \frac{9 G M m}{R^2} \)
  4. \( \frac{3 G M m}{R^2} \)

Correct answer · Option 1

Zero

Explanation

According to Newton's shell theorem, the force of attraction due to a hollow spherical shell of uniform density on a point mass situated anywhere inside it is identically zero.
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