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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawHard2 minQB

PhysicsHardsingle choice

Passage / Comprehension

In the picture below, the planet orbits around the sun with a period of 40 months and takes 12 months totranslate from the point D to point E and 1 month from point B to C. The area of the ellipse is A. Mass of thesatellite is m.

The angular momentum of planet per unit mass per unit area is :

Options:

Answer:

Solution:

$\frac{dA}{dt} = \frac{L}{2 m} = \frac{A}{T}$ $\frac{L}{Am} = \frac{2}{T}$ $= \frac{2}{40} = \frac{1}{20 \times 30 \times 24 \times 60 \times 60}$ $= \frac{1}{2 \times 3 \times 24 \times 36} (1 0^{- 4})$ $= \frac{1}{6 \times 24 \times 36} (1 0^{- 4})$ $= \frac{1}{24 \times 216} 1 0^{- 4}$ $\frac{L}{Am} = 2 \times 1 0^{- 8} / s$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Kepler's Law

⏱ 2mℹ️ Source: QB

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