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 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 )`

The kinetic energies of a planet in an elliptical orbit about the Sun,

1.	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 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» Correct Answer - C From angular momentum conservation, `v_(A) ` : maximum, `v_(c )` : minimum `:. K_(A) gt K_(B) gt K_(C )`

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