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Deducing Mathematically

The planet me...

Question

The planet mercury is revolving in an elliptical orbit around the sun as, shown in the fig. The kinetic energy of a mercury will be greatest at

A

A

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B

B

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C

C

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D

D

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Solution

The correct option is A $A$
Angular momentum is conserved. At $A$ , the moment of inertia is least and hence angular speed is maximum.
Thus the $K . E .$ at $A$ is maximum

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