KVPY SA Exam 2015 Question Paper

Question : 28 of 80

Marks: +1, -0

A planet is orbiting the sun in an elliptical orbit. Let U denote the potential energy and K denote the kinetic energy of the planet at an arbitrary point on the orbit.
Choose the correct statement.

K < |U| always.
K > |U| always.
K = |U| always.
K = |U| for two positions of the planet in the orbit.

Validate

Solution:

Planet sun system is bounded system
∴ Total energy of the system is negative
TE = KE + PE
⇒

K – | U |

{PE is negative here}
as TE is negative
∴

| U | > K

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