Why do you think the area swept out by a planet in a given period of time remains constant, even as the planet speeds up and slows down?

Since there is no torque on the planet with respect to position of Sun

So the angular momentum of the planet is always constant

hence the rate of change in area with respect to sun is always constant

Explanation:

As we know that rate of area swept by the planet is given as

here we know that small area swept by the planet is given as

now rate of area swept by the planet is given as

so we have

here we know that angular momentum of the planet with respect to sun is given as

so we have

since we know that there is no torque on the system of planet with respect to sun

So angular momentum of the planet will remain constant

hence we can say

= constant always

4

explanation:

4

d is the correct answer