Question

A planet is revolving around the sun in an elliptical orbit as shown in figure. At which point will its K.E. be maximum?

Options

• P₁

• P₂

• P₃

• P₄

Answer 1

P₄

Explanation:

Here, angular momentum is conserved.

`"I"_1  omega_1 = "I"_2  omega_2`

`therefore "MR"_1^2  omega_1 = "MR"_2^2  omega_2` 

R₁ V₁ = R₂ V₂

At the point P₄, the value of R is minimum and hence velocity is maximum. So K.E. is maximum.