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Assertion: Mass is a property of one obj...

Assertion: Mass is a property of one object alone, whereas weight results from the interaction of two objects.
Reason: The weight of an object is proportional to its mass.

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

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given assertion and reason, we can break down the concepts of mass and weight step by step. ### Step-by-Step Solution: 1. **Understanding Mass**: - Mass is defined as the amount of matter in an object. It is an intrinsic property and does not change regardless of the object's location in the universe. For example, a 2 kg mass remains 2 kg whether it is on Earth, the Moon, or Mars. 2. **Understanding Weight**: - Weight is defined as the force exerted on an object due to gravity. It is dependent on both the mass of the object and the gravitational field strength acting on it. The formula for weight (W) is given by: \[ W = m \cdot g \] where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity. 3. **Interaction Between Two Objects**: - Weight results from the gravitational interaction between two masses: the object and the Earth (or any other celestial body). This interaction is what causes the object to experience a force (weight) pulling it towards the center of the Earth. 4. **Proportionality of Weight and Mass**: - The weight of an object is directly proportional to its mass. This means that if the mass increases, the weight also increases, assuming the gravitational field strength remains constant. This relationship is derived from Newton's law of gravitation. 5. **Evaluating the Assertion and Reason**: - The assertion states that "mass is a property of one object alone, whereas weight results from the interaction of two objects." This is true. - The reason states that "the weight of an object is proportional to its mass." This is also true. - However, the reason does not adequately explain the assertion. The assertion is about the nature of mass and weight, while the reason only discusses the relationship between weight and mass. 6. **Conclusion**: - Since both the assertion and the reason are true, but the reason does not explain the assertion correctly, the correct answer would be that the assertion is true, and the reason is true but does not support the assertion. ### Final Answer: - The assertion is true, and the reason is true but does not explain the assertion.

To analyze the given assertion and reason, we can break down the concepts of mass and weight step by step. ### Step-by-Step Solution: 1. **Understanding Mass**: - Mass is defined as the amount of matter in an object. It is an intrinsic property and does not change regardless of the object's location in the universe. For example, a 2 kg mass remains 2 kg whether it is on Earth, the Moon, or Mars. 2. **Understanding Weight**: ...
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