English

The rate of change of the area swept by the radius vector, Δ⁢𝐴Δ⁢𝑡 ​, is shown to be constant and equal to:

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Question

The rate of change of the area swept by the radius vector, \[\frac {ΔA}{Δt}\] ​, is shown to be constant and equal to:

Options

  • 2mL

  • \[\frac {2m}{L}\]

  • \[\frac {L}{2m}\]

  • \[\frac {1}{2}\](r × p)

MCQ
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Solution

\[\frac {L}{2m}\]

Explanation:

This formula correctly relates the constant rate of area sweep to the conserved angular momentum (L) and the planet's mass (m).

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