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Physics · GRAVITATION

हिन्दी

In the shown figure representing Kepler's second law, a planet moves from point \( P \) to \( P' \) in time interval \( \Delta t \), sweeping an area \( \Delta A \). Which of the following vectors is strictly parallel to the position vector \( \mathbf{r} \) of the planet relative to the Sun \( S \)?

  1. The linear velocity vector \( \mathbf{v} \)
  2. The gravitational force vector \( \mathbf{F} \) (anti-parallel)
  3. The areal velocity vector \( \frac{\Delta \mathbf{A}}{\Delta t} \)
  4. The angular momentum vector \( \mathbf{L} \)

Correct answer · Option 2

The gravitational force vector \( \mathbf{F} \) (anti-parallel)

Explanation

The gravitational attraction \( \mathbf{F} \) is a central force directed along the line joining the planet to the Sun towards \( S \), making it collinear (anti-parallel) to the position vector \( \mathbf{r} \).
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