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Assertion : The weight of an object chan...

Assertion : The weight of an object changes from place to place but not mass.
Reason : The weight of the object is independent of the value of g.

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 1: Understand the Assertion The assertion states: "The weight of an object changes from place to place but not mass." - **Weight** is defined as the force exerted by gravity on an object, which can be calculated using the formula: \[ \text{Weight} (W) = \text{mass} (m) \times \text{acceleration due to gravity} (g) \] - **Mass** is a measure of the amount of matter in an object and remains constant regardless of location. ### Step 2: Understand the Reason The reason states: "The weight of the object is independent of the value of g." - This statement is incorrect because weight is directly proportional to the acceleration due to gravity (g). If g changes, the weight will also change. ### Step 3: Analyze the Relationship - Since weight depends on both mass and the value of g, if g changes (which it does depending on location), the weight will also change. - Mass, however, remains constant regardless of location. ### Step 4: Determine the Truth of Assertion and Reason - The assertion is **true**: Weight changes with location, but mass does not. - The reason is **false**: Weight is dependent on the value of g. ### Step 5: Choose the Correct Option Based on the analysis: - The correct option is: **Assertion is true and reason is false.** ### Final Answer The answer to the question is: **Option 3: Assertion is true and Reason is false.** ---

To solve the question, we need to analyze both the assertion and the reason provided: ### Step 1: Understand the Assertion The assertion states: "The weight of an object changes from place to place but not mass." - **Weight** is defined as the force exerted by gravity on an object, which can be calculated using the formula: \[ \text{Weight} (W) = \text{mass} (m) \times \text{acceleration due to gravity} (g) \] ...
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