Newton’s law of gravitation applies toa. All bodies irrespective of their sizeb. Big bodies onlyc.For solar systemd.  Small bodies only

Breakdown of the Problem

To determine which option correctly describes the applicability of Newton's law of gravitation, we need to analyze the choices provided.

Relevant Concepts

Newton's law of gravitation states that every point mass attracts every other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula is given by:

$F = G \frac{{m_1 m_2}}{{r^2}}$

Where:

• $F$ is the gravitational force between two objects,
• $G$ is the gravitational constant,
• $m_1$ and $m_2$ are the masses of the objects,
• $r$ is the distance between their centers.

Analysis and Detail

1. Option a (All bodies irrespective of their size)
   This aligns with the law, which applies universally to all masses, regardless of their size.

2. Option b (Big bodies only)
   This is incorrect because the law does not discriminate based on size; it applies to all bodies.

3. Option c (For solar system)
   While it is true that the law applies in the solar system, this is a subset of the broader applicability.

4. Option d (Small bodies only)
   Similar to option b, this is incorrect, as the law applies to all masses.

Verify and Summarize

Considering all the analyses, option a is the most accurate conclusion. Newton’s law of gravitation is universally applicable, not limited to size, category, or system.

Final Answer

The correct answer is a. All bodies irrespective of their size.