Assertion : The gravitational attraction of moon is much less than that of earth.
Reason : Moon is the neutral satellite of the earth.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion
B. If both assertion and reason are truebut reason is not the correct explanation of assertion
C. If assertion is true but reason is false
D. If both assertion and reason are false.

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Analyze the Assertion
The assertion states that "The gravitational attraction of the moon is much less than that of the earth."

- We know that the gravitational force (or gravitational attraction) can be calculated using the formula:
\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]
where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers.

- The acceleration due to gravity on the surface of an object is given by:
\[ g = \frac{G \cdot M}{r^2} \]
where \( M \) is the mass of the object (Earth or Moon) and \( r \) is its radius.

- For Earth, \( g_{Earth} \approx 9.8 \, \text{m/s}^2 \).
- For the Moon, using the mass of the Moon \( M_{Moon} \approx 7.39 \times 10^{22} \, \text{kg} \) and its radius \( r_{Moon} \approx 1.74 \times 10^6 \, \text{m} \), we can calculate:
\[ g_{Moon} = \frac{G \cdot M_{Moon}}{r_{Moon}^2} \approx 1.6 \, \text{m/s}^2 \]

- Since \( g_{Moon} \) is significantly less than \( g_{Earth} \), the assertion is true.

### Step 2: Analyze the Reason
The reason states that "Moon is the natural satellite of the earth."

- A natural satellite is a celestial body that orbits a planet. The Moon is indeed a natural satellite of Earth because it orbits around Earth due to the gravitational attraction between them.

- This statement is also true.

### Step 3: Conclusion
Both the assertion and the reason are true. However, the reason does not provide a correct explanation for the assertion. The assertion is based on the difference in gravitational attraction due to the mass and radius of the Earth and Moon, while the reason simply states a fact about the Moon being a satellite.

### Final Answer
- Both assertion and reason are true, but the reason is not the correct explanation of the assertion.

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