Step 1: Understanding the Question:
The question asks us to identify the statements and examples that correctly demonstrate Newton's Third Law of Motion.
Newton's Third Law states that "for every action, there is an equal and opposite reaction."
Step 2: Detailed Explanation:
1. Newton's Third Law of Motion states that forces always exist in matched action-reaction pairs. If body A exerts a force on body B, body B simultaneously exerts an equal and opposite force on body A.
2. Let us analyze each of the given options:
3. (A) Recoil of a gun: When a bullet is fired from a gun, the gunpowder explosion exerts a forward force on the bullet (action). The bullet exerts an equal and opposite backward force on the gun (reaction), causing it to recoil. This is a correct example.
4. (B) Running horse stops suddenly, the rider bends forward: This is an example of inertia of motion, which is governed by Newton's First Law of Motion (Law of Inertia), not the Third Law.
5. (C) Motion of rocket: A rocket engine burns fuel and expels hot exhaust gases downwards (action). These gases exert an equal and opposite upward thrust force on the rocket (reaction), propelling it upwards. This is a correct example.
6. (D) It gives the definition of force: Newton's First Law defines force qualitatively, and the Second Law defines it quantitatively (\( F = ma \)). The Third Law does not define what a force is, so this statement is incorrect.
7. (E) Swimming: A swimmer pushes the water backward with their hands and legs (action). The water simultaneously exerts an equal and opposite forward force on the swimmer (reaction), propelling them forward. This is a correct example.
8. Therefore, options (A), (C), and (E) are correct examples of Newton's Third Law. This corresponds to option (B).
Step 3: Final Answer:
The correct statements representing Newton's Third Law are (A), (C), and (E) only.