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What is the direction of areal velocity of the earth around the sun?

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प्रश्न

What is the direction of areal velocity of the earth around the sun?

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उत्तर

Areal velocity of the earth around the sun is given by `(dA)/(dt) = L/(2m)` where L is the angular momentum and m is the mass of the earth.

But angular momentum `L = r xx p = r xx mv`

∴ Areal velocity `((dA)/(dt)) = 1/(2m) (r xx mv) = 1/2 (r xx v)`

Therefore, the direction of areal velocity `((dA)/(dt))` is the direction of `(r xx v)`, i.e., perpendicular to the plane containing r and v and directed as given by the right-hand rule.

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अध्याय 8: Gravitation - Exercises [पृष्ठ ६१]

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एनसीईआरटी एक्झांप्लर Physics [English] Class 11
अध्याय 8 Gravitation
Exercises | Q 8.20 | पृष्ठ ६१

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