Question

Kepler’s second law is based on:
$\left( A \right)$ Newton’s first law
$\left( B \right)$ Newton’s second law
$\left( C \right)$ Special theory of relativity
$\left( D \right)$ Conservation of angular momentum

Answer 1

Hint: In this question using the property that the law of angular momentum conservation states that when no external torque acts on an object, there will be no change in angular momentum which is the concept of Kepler's second law. So using this definition to get the problem solved.

Complete Step-by-Step solution:
Kepler’s second law
A line joining a planet and the Sun sweeps out equal areas over equal time intervals.
Newton’s first law
An object at rest stays at rest, or if in motion, remains in motion at a constant velocity until a net external force acts on it.
Newton’s second law
The second law of Newton's motion is F = ma, or force is equal to acceleration in mass times.
Special theory of relativity
Special relativity theory describes how space and time are related for objects that travel in a straight line at a consistent velocity.
Conservation of angular momentum
In physics the angular momentum is the linear momentum rotational analog. It is an important quantity in physics since it is a conserved quantity-a closed system's total angular momentum remains constant.
So we can say from the above description that Kepler's second law is based on angular momentum conservation.
The rate $\left( {\dfrac{{dA}}{{dt}}} \right)$ at which area is swept out on the orbit is constant, as equal areas (A) in equal times (t) "implies.
Hence angular momentum is conserved.
So this is the required answer.
Hence option (D) is the correct answer.

Note – Whenever we face these types of questions, always remember all the meanings of the laws in question, which are all mentioned above, then check the law best defines the law in the statement of question which is the answer needed.