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

Question

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.

TestHub · Accepted Answer

The gravitational force is central, so its torque about the Sun is zero.

$\frac{d A}{d t} = \frac{L}{2 m} = constant$

Thus Statement 1 is true.

$T^{2} = \frac{4 π ^{2}}{GM} a^{3}$

For planets about the same Sun, Statement 2 is also true. Answer A.

Physics - Gravitation Question with Solution | TestHub

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JEE Main 2027 (Class 12+)