SATHEE: Gravitation Question 204

Gravitation Question 204

Question: In planetary motion the areal velocity of position vector of a planet depends on angular velocity $[(ω)]$ and the distance of the planet from sun (r). If so the correct relation for areal velocity is[EAMCET 2003]

Options:

A) $[\frac{d A}{d t} \propto ω r]$

B) $[\frac{d A}{d t} \propto ω^{2} r]$

C) $[\frac{d A}{d t} \propto ω r^{2}]$

D) $[\frac{d A}{d t} \propto \sqrt{ω r}]$

Show Answer

Answer:

Correct Answer: C

Solution:

$[\frac{d A}{d t} = \frac{L}{2 m} = \frac{d A}{d t} \propto v r \propto ω r^{2}]$

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Gravitation Question 204

Question: In planetary motion the areal velocity of position vector of a planet depends on angular velocity [(ω)] and the distance of the planet from sun (r). If so the correct relation for areal velocity is[EAMCET 2003]

Options:

Answer:

Solution:

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Question: In planetary motion the areal velocity of position vector of a planet depends on angular velocity $[(ω)]$ and the distance of the planet from sun (r). If so the correct relation for areal velocity is[EAMCET 2003]