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A : The acceleration due to gravity fo...

A : The acceleration due to gravity for an is independent from its mass.
R : The value of 'g ' depends on the mass of planet .

A

If both Assertion & Reason are true . And the reason is the correct explanation of the assertion , then mark (1)

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion , then mark (2)

C

If Assertion is true statement but Reason is false , then mark (3)

D

It will move the same speed , tangentially to the spacecraft

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the assertion (A) and the reason (R) provided in the question. **Assertion (A):** The acceleration due to gravity (g) for an object is independent of its mass. **Reason (R):** The value of 'g' depends on the mass of the planet. ### Step-by-Step Solution: 1. **Understanding the Assertion (A):** - The acceleration due to gravity (g) at a point near the surface of a planet is given by the formula: \[ g = \frac{GM}{R^2} \] where \( G \) is the universal gravitational constant, \( M \) is the mass of the planet, and \( R \) is the radius of the planet. - This formula shows that 'g' is dependent on the mass of the planet (M) and the distance from the center of the planet (R), but it does not depend on the mass of the object experiencing the gravitational force. 2. **Understanding the Reason (R):** - The reason states that the value of 'g' depends on the mass of the planet. - This is correct because, as shown in the formula above, the acceleration due to gravity increases with an increase in the mass of the planet while keeping the radius constant. 3. **Conclusion:** - Both the assertion (A) and the reason (R) are true. - However, the reason (R) does not provide a correct explanation for the assertion (A). The assertion states that 'g' is independent of the mass of the object, while the reason discusses the dependency of 'g' on the mass of the planet. ### Final Answer: - The assertion (A) is true, and the reason (R) is also true, but the reason is not the correct explanation for the assertion.
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