Given below are two statements:
Statement-1: The gravitational field intensity at the center of a uniform solid sphere is zero.
Statement-2: The gravitational force experienced by a particle inside a uniform spherical shell is always zero.

Question

Given below are two statements:

Statement-1: The gravitational field intensity at the center of a uniform solid sphere is zero.

Statement-2: The gravitational force experienced by a particle inside a uniform spherical shell is always zero.

TestHub · Accepted Answer

Statement-1: For a uniform solid sphere, the gravitational field intensity at a distance $r$ from its center ( $r \leq R$ ) is given by $E = \frac{GM r}{R ^{3}}$ . At the center, $r = 0$ , so $E = 0$ . Thus, Statement-1 is true.

Statement-2: Inside a uniform spherical shell, the gravitational field intensity is zero everywhere. Since gravitational force $F = m E$ , a particle of mass $m$ inside the shell experiences zero force. Thus, Statement-2 is true.

Physics - Gravitation Question with Solution | TestHub

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