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A : The gravitational field intensity ...

A : The gravitational field intensity is zero everywhere inside a uniform spherical shell
R: The net force on a point mass inside a uniform spherical shell is zero everywhere .

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 and the reason provided in the question regarding gravitational field intensity and net force inside a uniform spherical shell. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "The gravitational field intensity is zero everywhere inside a uniform spherical shell." - According to the shell theorem, a uniform spherical shell of mass exerts no gravitational force on any mass located inside it. This means that the gravitational field intensity (which is a vector quantity) is indeed zero at all points inside the shell. 2. **Understanding the Reason**: - The reason states that "The net force on a point mass inside a uniform spherical shell is zero everywhere." - Since the gravitational field intensity is zero, the force experienced by any point mass inside the shell, which is given by the formula \( F = m \cdot g \) (where \( g \) is the gravitational field intensity), will also be zero. Therefore, the net force on a point mass inside the shell is indeed zero. 3. **Conclusion**: - Both the assertion and the reason are true. - Furthermore, the reason correctly explains why the assertion is true. The gravitational field intensity being zero leads directly to the conclusion that the net force on a point mass inside the shell is zero. 4. **Final Answer**: - Since both the assertion and reason are true, and the reason correctly explains the assertion, we conclude that the correct option is that both the assertion and reason are true, with the reason being a correct explanation of the assertion.
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