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_(B) lt K_(A) lt K_(C )`
B. `K_(B) gt K_(A) gt K_(C )`
C. `K_(A)B gt K_(B) gt K_(C )`
D. `K_(A) lt K_(B) lt K_(C )`

Answer

C

Explanation

From angular momentum conservation, `v_(A) ` : maximum, `v_(c )` : minimum
`:. K_(A) gt K_(B) gt K_(C )`