Gravitational field intensity

Question

A uniform spherical shell of radius R, has mass m. Two other point masses of mass m each, are kept at point P and Q respectively. If the force of interaction between the shell and the point mass at p is F_{1} and between the shell and the point mass at Q is F_{2}. Find $\frac{{\mathrm{F}}_{1}}{{\mathrm{F}}_{2}}$.

Easy

Solution

At point Q, field intensity due to the spherical shell=0

${\mathrm{F}}_{\mathrm{Q}}=0\phantom{\rule{0ex}{0ex}}\mathrm{So}\mathrm{hence}\frac{{\displaystyle {\mathrm{F}}_{1}}}{{\displaystyle {\mathrm{F}}_{2}}}\to \mathrm{\infty}$

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