Question 386: Gravitation

Question

The kinetic energies of
a planet in an elliptical
orbit about the Sun, at
positions A, B and C are
K
A
, K
B
and K
C
, respectively. AC is the major
axis and SB is perpendicular to AC at the position
of the Sun S as shown in the figure. Then
![](https://neetcare-image.cdn.examgoal.net/1qpqahkka42m8vz/026398ad-536b-4002-bc25-78353ce615cf/5da120f0-9465-11ea-aedc-f1c8d8e0194b/file-1qpqahkka42m8w0-333w.png)

Accepted Answer

Speed of the planet will be maximum when
its distance from the sun is minimum as mvr =
constant.
Point A is perihelion and C is aphelion.
Clearly, V
A
> V
B
> V
C
So, K
A
> K
B
> K
C
![](https://neetcare-image.cdn.examgoal.net/1qpqahkka42r67j/93033029-d6b3-45ab-8a2f-386a552ac34c/e69b0bf0-9465-11ea-aedc-f1c8d8e0194b/file-1qpqahkka42r67k-320w.png)

Answer

K
A
< K
B
< K
C

Answer

K
A
> K
B
> K
C

Answer

K
B
< K
A
< K
C

Answer

K
B
> K
A
> K
C

Gravitation

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are K A , K B and K C , respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

Choose the correct answer: