A planet moves around the sun. At a given point P, it is closest from the sun at a distance \[{{d}_{1}}\] and has a speed \[{{v}_{1}}\]. At another point Q, when it is farthest from the sun at a distance \[{{d}_{2}}\], its speed will be [MP PMT 1987; DCE 2002]

\[\frac{d_{2}^{2}{{v}_{1}}}{d_{1}^{2}}\]

\[\frac{d_{1}^{2}{{v}_{1}}}{d_{2}^{2}}\]

\[\frac{{{d}_{2}}{{v}_{1}}}{{{d}_{1}}}\]

\[\frac{{{d}_{1}}{{v}_{1}}}{{{d}_{2}}}\]

A planet moves around the sun. At a given point P, it is closest from

1.	A planet moves around the sun. At a given point P, it is closest from the sun at a distance \[{{d}_{1}}\] and has a speed \[{{v}_{1}}\]. At another point Q, when it is farthest from the sun at a distance \[{{d}_{2}}\], its speed will be [MP PMT 1987; DCE 2002]
A.	\[\frac{d_{1}^{2}{{v}_{1}}}{d_{2}^{2}}\]
B.	\[\frac{{{d}_{2}}{{v}_{1}}}{{{d}_{1}}}\]
C.	\[\frac{{{d}_{1}}{{v}_{1}}}{{{d}_{2}}}\]
D.	\[\frac{d_{2}^{2}{{v}_{1}}}{d_{1}^{2}}\]
Answer» D. \[\frac{d_{2}^{2}{{v}_{1}}}{d_{1}^{2}}\]