Figure shows a planet in an elliptical orbit around the Sun `S`. Where is the kinetic energy of the planet maximum?

Options

A. `P_(1)`
B. `P_(2)`
C. `P_(3)`
D. `P_(4)`

Answer

D

Explanation

Here angular momentum is conserved. According to it,
`I_(1)omega_(1)=I_(2)omega_(2)`
or `MR_(1)^(2)omega_(1)=MR_(1)^(2)omega_(2)` or `R_(1)v_(1)=R_(2)v_(2)`
At point `P_(4)` the value of `R` is minimum and hence the velocity is maximum or `KE` is maximum.