Physics - Gravitation Question with Solution | TestHub
Given below are two statements:
Statement-1: Kepler's second law, which states that the line joining a planet to the Sun sweeps out equal areas in equal intervals of time, is a consequence of the conservation of angular momentum.
Statement-2: According to Kepler's third law, the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its elliptical orbit.
Options:
Answer:
Solution:
Statement-1: Kepler's second law, also known as the law of areas, states that the areal velocity () of a planet is constant. This is a direct consequence of the conservation of angular momentum for a body moving under a central force. Thus, Statement-1 is true.
Statement-2: Kepler's third law, also known as the law of periods, states that for any planet, the square of its orbital period () is directly proportional to the cube of the semi-major axis () of its orbit, i.e., . Thus, Statement-2 is true.
