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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Physics
Chapter
Gravitation

BITSAT 2021 · Physics · Gravitation

Suppose the law of gravitational attraction suddenly changes and...

Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e. F ∝1r3\propto \frac{1}{r^{3}}, but still remaining a central force. Then

Options

  1. AKepler's law of area still holds
  2. BKepler's law of period still holds
  3. CKepler's law of area and period still holds
  4. Dneither the law of area, nor the law of period still holds

Correct answer

A. Kepler's law of area still holds

Step-by-step solution

According to kepler's law of area dAdt=L2m\frac{\mathrm{d} \mathrm{A}}{\mathrm{dt}}=\frac{\mathrm{L}}{2 \mathrm{ m}} For central forces, torque =0∴L==0\therefore \mathrm{L}= constant ∴dAdt=\therefore \frac{\mathrm{d} \mathrm{A}}{\mathrm{dt}}= constant
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