Assertion: A man in a dosed cabin falling freely does not experience gravity.
Reason: Inertial and gravitational mass have equivalence.

Options

A. If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.
B. If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.
C. If Assertion is Trie but the Reason is False.
D. If both Assertion `&` Reason are false

Explanation

To solve the question regarding the assertion and reason provided, we will analyze both statements step by step.

### Step 1: Analyze the Assertion
The assertion states: "A man in a closed cabin falling freely does not experience gravity."

- When a cabin falls freely under the influence of gravity, it accelerates downwards at the same rate as gravity (g = 9.81 m/s²).
- Inside this cabin, the man and the cabin are in free fall. Since both the man and the cabin are accelerating downwards at the same rate, the man does not feel any force acting on him. This condition is often referred to as "weightlessness."
- Therefore, the assertion is **true**.

### Step 2: Analyze the Reason
The reason states: "Inertial and gravitational mass have equivalence."

- Inertial mass is defined as the property of a body that determines how much it resists acceleration when a force is applied. It is essentially a measure of an object's resistance to changes in motion.
- Gravitational mass is the property of a body that determines the force of gravity acting on it. It is the mass that appears in Newton's law of gravitation.
- The equivalence principle states that inertial mass and gravitational mass are equivalent, which means they have the same value and behave the same way under gravitational influence.
- However, the statement in the reason does not directly explain why the man in the cabin does not experience gravity. It merely states a fact about the relationship between inertial and gravitational mass.
- Therefore, while the equivalence of inertial and gravitational mass is a true concept in physics, it does not support the assertion made. Thus, the reason is **false**.

### Conclusion
- The assertion is true, while the reason is false. Therefore, the correct answer is that the assertion is true, but the reason is false.

### Final Answer
Assertion is true, Reason is false (Option C).

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