Why is the gravitational force inside a hollow spherical shell zero in NCERT Solutions for Class 11 Physics Chapter 7 Gravitation?

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    Pallavi Pathak | Contributor-Level 10

    6 months ago

    It is due to a concept taken from Newton's Law of Gravitation. It says that each mass element of the shell puts an attractive force on a particle inside but due to the fact that the shape of the shell is symmetrical, these forces cancel out in every direction.
    To prove it mathematically, one can use Gauss's Law for Gravitation. It states that inside a uniformly distributed spherical shell, the net gravitational field is zero. It differs from electrostatics, which states that a conducting shell blocks or stops the external electric fields. The shielding concept is not part of gravitation where the external bodies exert a gravitational fo

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  G M m ( R + x ) 2 = G M m ( R x ) R 3

->R3 = (R + x)2 (R – x)

->R3 = (R2– x2) (R + x)

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G M r = 6 . 4 * 1 0 7                       . (i)

G M r 2 = 6 . 4                   . (ii)

r = 6 . 4 * 1 0 7 6 . 4  

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