In planetary motion the areal velocity of position vector of a planet depends on angular velocity - and the distance of the planet from sun r- If so the correct relation for areal velocity isA- d A-d t-B- d A-d t-2 rC- d A-d t- r2D- d A-d t- r

The correct option is C dA/dt=L/2m=dA/dt∝ vr ∝ω r^2 ...

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Standard XII

Physics

Kepler's Law

In planetary ...

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

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Solution

The correct option is C
$\frac{d A}{d t} = \frac{L}{2 m} = \frac{d A}{d t} \propto v r \propto ω r^{2}$

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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

The correct option is C dAdt=L2m=dAdt∝vr∝ωr2

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

The correct option is C
$\frac{d A}{d t} = \frac{L}{2 m} = \frac{d A}{d t} \propto v r \propto ω r^{2}$