Question

Match the Column I with Column II

Column I	Column II
(A) Kepler's first law	(p) $T^2\propto a^3$
(B) Kepler's second law	(q) Inverse square law
(C) Kepler's third law	(r) Orbit of planet is elliptical
(D) Newton's law of gravitation	(s) Law of conservation of angular momentum

• A. A-s, B-p, C-q, D-r
• B. A-p, B-q, C-r, D-s
• C. A-r, B-s, C-p, D-q
• D. A-s, B-p, C-q, D-s

Answer 1

Answer: (C)

A-r, B-s, C-p, D-q

According to Kepler's first law, all planets move in elliptical orbits with the sun situated at one of the foci. $A-r$

Kepler's second law is a consequence of law of conservation of angular momentum. $B-s$

According to the Kepler's third law, the square of the time period of revolution of a planet is proportional to the cube of the semi-major axis of the ellipse traced out by the planet. $T^2\propto a^3\therefore C-p$

According to Newton's law of gravitation. everybody in the universe attracts every other body with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. $D-q$