7.Gravitation
medium

In planetary motion the areal velocity of position vector of a planet depends on angular velocity $(\omega )$ and the distance of the planet from sun $(r)$. If so the correct relation for areal velocity is

A

$\frac{{dA}}{{dt}} \propto \omega r$

B

$\frac{{dA}}{{dt}} \propto {\omega ^2}r$

C

$\frac{{dA}}{{dt}} \propto \omega {r^2}$

D

$\frac{{dA}}{{dt}} \propto \sqrt {\omega r} $

Solution

(c)$\frac{{dA}}{{dt}} = \frac{L}{{2m}} = \frac{{dA}}{{dt}} \propto vr \propto \omega {r^2}$

Standard 11
Physics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.