Question

A planet revolving in elliptical orbit has:

A. a constant velocity of revolution.

B. has the least velocity when it is nearest to the sun.

C. its areal velocity is directly proportional to its velocity.

D. areal velocity is inversely proportional to its velocity.

E. to follow a trajectory such that the areal velocity is constant.

• A. $A$only
• B. $E$only
• C. $D$only
• D. $C$only

Answer 1

The correct option is B

$E$only

Explanation for the correct option

Option $\left(B\right)$- According to the Kepler's second law of planetary motion, the planet sweeps out the equal area in equal times, that is, the areal velocity is constant.

Explanation for the incorrect option

Option $\left(A\right)$- Planets revolving in the elliptical orbit do not move at constant velocity.

Option $\left(C\right),\left(D\right)$- Areal velocity remains constant.

Hence, the correct option is $\left(B\right)$.