The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are\[{{\text{K}}_{\text{A}}}\], \[{{\text{K}}_{\text{B}}}\] and\[{{\text{K}}_{\text{C}}}\], 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 [NEET - 2018] |
A) \[{{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{C}}}\]
B) \[{{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{C}}}\]
C) \[{{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{C}}}\]
D) \[{{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{C}}}\]
Correct Answer: B
Solution :
[b] |
Point A is perihelion and C is aphelion. |
So, \[{{\text{V}}_{\text{A}}}\text{}{{\text{V}}_{\text{B}}}\text{}{{\text{V}}_{\text{C}}}\] |
So, \[{{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{C}}}\] |
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