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Assertion: The weight of an object in mo...

Assertion: The weight of an object in moon will be 6 times more than in Earth.
Reason: The gravitational pull of moon is 1/6th of that of Earth.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true 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.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that "The weight of an object in the moon will be 6 times more than in Earth." - Weight is defined as the force exerted by gravity on an object, which depends on the mass of the object and the acceleration due to gravity (g). - The assertion claims that the weight on the moon is greater than that on Earth, which contradicts the known facts about gravity on the moon. 2. **Understanding the Reason**: The reason states that "The gravitational pull of moon is 1/6th of that of Earth." - This is a factual statement. The acceleration due to gravity on the moon is approximately 1/6th of that on Earth. - Therefore, if we denote the acceleration due to gravity on Earth as \( g \), then the acceleration due to gravity on the moon (\( g_{moon} \)) is \( g_{moon} = \frac{g}{6} \). 3. **Calculating Weight on Earth and Moon**: - The weight of an object is given by the formula: \[ \text{Weight} = \text{mass} \times \text{acceleration due to gravity} \] - Let’s denote the mass of the object as \( m \). - Weight on Earth: \[ W_{earth} = m \times g \] - Weight on Moon: \[ W_{moon} = m \times g_{moon} = m \times \left(\frac{g}{6}\right) = \frac{m \times g}{6} = \frac{W_{earth}}{6} \] - This shows that the weight of an object on the moon is actually 1/6th of its weight on Earth, not 6 times more. 4. **Conclusion**: - The assertion is **false** because it incorrectly states that the weight on the moon is greater than that on Earth. - The reason is **true** as it accurately describes the gravitational pull of the moon relative to Earth. ### Final Answer: - The assertion is false, but the reason is true.
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