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Which one of the following plots represe...

Which one of the following plots represents the variation of the gravitational field on a particle with distance `r` due to a thin spherical shell of raduis `R`? (`r` is measured from the centre of the spherical shell).

Text Solution

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`F = (GM m)/(r^(2))`, where `M = (4)/(3) pi R^(3) rho`
`:. F = (G)/(r^(2)) ((4)/(3) pi R^(3) rho)m` i.e., `F prop (R^(3))/(r^(2))`
Inside the hollow spherical shell the gravitational force is zero. The vartation of `F` with `r` is shows in Fig.
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