Assertion : Gravitational potential and gravitational potentail energy, both are related to the work done by gravitational force in the gravitational field
Reason : Gravitational field strength is related to the gravitaional force in gravitational field.

Options

A. If both Assertin and Reason are correct and Reason is the correct explanation of Assertion
B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
C. If Assertion is true but Reason is false
D. If Assertion is false but Reason is true

Answer

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

### Step 1: Understand the Assertion
The assertion states that "Gravitational potential and gravitational potential energy, both are related to the work done by gravitational force in the gravitational field."

- **Gravitational Potential (V)** is defined as the work done per unit mass to bring a mass from infinity to a point in the gravitational field. Mathematically, it is expressed as:
\[ V = -\frac{W}{m} \]
where \(W\) is the work done by the gravitational force and \(m\) is the mass.

- **Gravitational Potential Energy (U)** is defined as the work done to move an object from a reference point (usually infinity) to a specific point in the gravitational field. It is given by:
\[ U = mV \]
This means that gravitational potential energy is directly related to the work done by the gravitational force.

Thus, the assertion is **true**.

### Step 2: Understand the Reason
The reason states that "Gravitational field strength is related to the gravitational force in the gravitational field."

- **Gravitational Field Strength (g)** is defined as the gravitational force (F) experienced by a unit mass (m). It can be expressed as:
\[ g = \frac{F}{m} \]
This indicates that the gravitational field strength is indeed related to the gravitational force.

Thus, the reason is also **true**.

### Step 3: Determine the Relationship Between Assertion and Reason
While both the assertion and reason are true, we need to check if the reason explains the assertion.

- The assertion discusses the relationship between gravitational potential and gravitational potential energy with the work done by gravitational force.
- The reason discusses gravitational field strength and its relation to gravitational force.

Since the reason does not directly explain the assertion (the assertion focuses on potential and potential energy, while the reason focuses on field strength), we conclude that the reason is not the correct explanation of the assertion.

### Final Conclusion
Both the assertion and reason are true, but the reason does not explain the assertion. Therefore, the correct answer is:

**Option B: Both assertion and reason are correct, but reason is not the correct explanation of assertion.**

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