Question:
The earth moves in an elliptical orbit with the sun S at one of foci as shown in the figure. Its rotational kinetic energy is maximum at the point
The earth moves in an elliptical orbit with the sun S at one of foci as shown in the figure. Its rotational kinetic energy is maximum at the point
Updated On: Jul 7, 2022
- A
- B
- C
- D
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The earth revolves around the sun once in a year. In order to find the rotational kinetic energy about the sun, we may treat the earth as a point mass, of moment of inertia I. If $\omega$ is angular velocity of earth, then
$\hspace30mm K_{rot} = \frac{1}{2} I \omega^2$
In planetary motion, angular momentum remains conserved.
At A, the moment of inertia is least, so angular speed is maximum. So, at A, rotational kinetic energy is maximum.
Was this answer helpful?
0
0
Top Questions on Keplers Laws
- If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon = 27 days and gravitational attraction between the satellite and the moon is neglected.
- JEE Main - 2025
- Physics
- Keplers Laws
- Applying the principle of homogeneity of dimensions, determine which one is correct. Where \( T \) is the time period, \( G \) is the gravitational constant, \( M \) is the mass, and \( r \) is the radius of the orbit.
- JEE Main - 2024
- Physics
- Keplers Laws
- Correct formula for height of a satellite from earths surface is :
- JEE Main - 2024
- Physics
- Keplers Laws
- The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.
- JEE Main - 2023
- Physics
- Keplers Laws
- Every planet revolves around the sun in an elliptical orbit:-
A. The force acting on a planet is inversely proportional to square of distance from sun
B. Force acting on planet is inversely proportional to product of the masses of the planet and the sun
C. The Centripetal force acting on the planet is directed away from the sun
D. The square of time period of revolution of planet around sun is directly proportional to cube of semi-major axis of elliptical orbit
Choose the correct answer from the options given below:- JEE Main - 2023
- Physics
- Keplers Laws
View More Questions
Concepts Used:
Keplers Laws
Kepler’s laws of planetary motion are three laws describing the motion of planets around the sun.
Kepler First law – The Law of Orbits
All the planets revolve around the sun in elliptical orbits having the sun at one of the foci.
Kepler’s Second Law – The Law of Equal Areas
It states that the radius vector drawn from the sun to the planet sweeps out equal areas in equal intervals of time.
Kepler’s Third Law – The Law of Periods
It states that the square of the time period of revolution of a planet is directly proportional to the cube of its semi-major axis.
T2 ∝ a3