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Inside a uniform shell...

Inside a uniform shell

A

potential is variable

B

potential is zero

C

potential is constant

D

All of these

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### Step-by-Step Solution 1. **Understanding the Concept**: We need to analyze the gravitational field and gravitational potential inside a uniform spherical shell. According to the shell theorem, the gravitational field inside a uniform spherical shell is zero. 2. **Gravitational Field Inside the Shell**: Since the gravitational field \( g \) inside the shell is zero, we can write: \[ g = 0 \] 3. **Relation Between Gravitational Field and Potential**: The gravitational potential \( V \) is related to the gravitational field by the equation: \[ g = -\frac{dV}{dr} \] where \( r \) is the distance from the center of the shell. Since \( g = 0 \) inside the shell, we can conclude: \[ -\frac{dV}{dr} = 0 \] 4. **Conclusion About Gravitational Potential**: If the derivative of the potential \( V \) with respect to \( r \) is zero, it implies that the gravitational potential \( V \) is constant throughout the interior of the shell. 5. **Final Statement**: Thus, we conclude that the gravitational potential inside a uniform spherical shell is constant. ### Summary - Inside a uniform spherical shell, the gravitational field is zero. - Consequently, the gravitational potential is constant throughout the interior of the shell.
### Step-by-Step Solution 1. **Understanding the Concept**: We need to analyze the gravitational field and gravitational potential inside a uniform spherical shell. According to the shell theorem, the gravitational field inside a uniform spherical shell is zero. 2. **Gravitational Field Inside the Shell**: Since the gravitational field \( g \) inside the shell is zero, we can write: \[ g = 0 \] ...
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