A planet is moving around the sun in an ellip | vedclass

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(D) Concept: Angular momentum $(L)$ is conserved because the gravitational force exerted by the sun on the planet is a central force, resulting in zer

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$C$

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(D) Concept: Angular momentum $(L)$ is conserved because the gravitational force exerted by the sun on the planet is a central force, resulting in zero torque about the sun.$L = mvr \sin(	heta) = 	ext{constant}$.At the perihelion (the point closest to the sun), the distance $r$ is minimum.Since $L = mvr$ (where $v$ is the orbital velocity perpendicular to the radius vector at perihelion), for a constant $L$, the velocity $v$ must be maximum when $r$ is minimum.Kinetic energy $(K.E.)$ is given by $K.E. = \frac{1}{2}mv^2$.Therefore, when the velocity $v$ is maximum, the kinetic energy is also maximum.Looking at the diagram, point $C$ is the closest to the sun (perihelion).Thus, the planet has the maximum kinetic energy at position $C$.

$A$ planet is moving around the sun in an elliptical orbit at different positions $A, B, C, D$. The maximum kinetic energy of the planet is at position:

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