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 :A and D onlyC and D onlyB and C onlyA and C only
Question
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 :A and D onlyC and D onlyB and C onlyA and C only
Solution
The correct answer is A and D only.
Explanation:
A. The force acting on a planet is inversely proportional to square of distance from sun. This is a statement of Kepler's law of planetary motion, which is correct.
B. Force acting on planet is inversely proportional to product of the masses of the planet and the sun. This is incorrect. According to Newton's law of universal gravitation, the force is directly proportional to the product of the masses.
C. The centripetal force acting on the planet is directed away from the sun. This is incorrect. The centripetal force is always directed towards the center of the circle, in this case, towards 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. This is also a statement of Kepler's law of planetary motion, which is correct.
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