A planet is revolving around the sun in an el | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to Kepler's second law of planetary motion,the radius vector joining the sun and the planet sweeps out equal areas in equal intervals of

Vedclass · Accepted Answer

The time taken in travelling $DAB$ is less than that for $BCD$.

Vedclass · Answer

(A) According to Kepler's second law of planetary motion,the radius vector joining the sun and the planet sweeps out equal areas in equal intervals of time.In the given figure,the sun $S$ is at one of the foci of the elliptical orbit.The area swept by the planet in path $DAB$ is less than the area swept in path $BCD$ because the sun is closer to the arc $DAB$.Since the area swept in path $DAB$ is smaller than the area swept in path $BCD$,the time taken to travel $DAB$ must be less than the time taken to travel $BCD$ to satisfy the condition of equal area in equal time.Alternatively,according to the law of conservation of angular momentum,the orbital velocity of the planet is higher when it is closer to the sun (near $A$) and lower when it is farther away (near $C$).Thus,the planet travels faster along the path $DAB$ and slower along the path $BCD$,confirming that the time taken for $DAB$ is less than that for $BCD$.

$A$ planet is revolving around the sun in an elliptical path as shown in the figure. Which of the following is the correct option?

Similar Questions

Which graph best represents the variation of radius $r$ of a circular orbit of a satellite against its time period $T$?

An earth satellite $S$ has an orbit radius which is $4$ times that of a communication satellite $C$. The period of revolution of $S$ is ........ $days$.

The time period of a satellite revolving around earth in a given orbit is $7 \, hours$. If the radius of orbit is increased to three times its previous value,then the approximate new time period of the satellite will be ...... $hours$.

$A$ satellite is launched into a circular orbit of radius $R$ around Earth,while a second satellite is launched into an orbit of radius $1.02 R$. The percentage difference in the time periods of the two satellites is:

If $A$ is the areal velocity of a planet of mass $M$,its angular momentum is

Vedclass Test Series

Exam Paper Generator

Online Exam Module