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 as shown in the figure. Then

Options

A. `K_A lt K_B lt K_C`
B. `K_A gt K_B gt K_C`
C. `K_B lt K_A lt K_C`
D. `K_B gt K_A gt K_C`

Answer

B

Explanation

\Point A is perihelion and C is aphelion.
So, `v_A gt v_B gt v_C`
As kinetic energy `k = 1//2 mv^2` or `k prop v^2`
So , `K_A gt K_B gt K_C`