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The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is E. Show the nature of F versus r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.

Answer» <html><body><p></p>Solution :`<a href="https://interviewquestions.tuteehub.com/tag/implies-1037962" style="font-weight:bold;" target="_blank" title="Click to know more about IMPLIES">IMPLIES</a>` Take density of the shell `(<a href="https://interviewquestions.tuteehub.com/tag/rho-623364" style="font-weight:bold;" target="_blank" title="Click to know more about RHO">RHO</a>)`is constant. <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/KPK_AIO_PHY_XI_P1_C08_E04_025_S01.png" width="80%"/><br/>Mass of the shell = (density) `xx`(volume)<br/> `(rho) xx 4/3 piR^(3) = M` <br/>As the density of the shell is uniform, it can be treated as a point mass placed at its centre.<br/> Now, gravitational force between `M and M_D` <br/>`F = (GMm)/<a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>^(r ge R)` <br/> `F = 0 (r lt R)` <br/>The <a href="https://interviewquestions.tuteehub.com/tag/relation-1183220" style="font-weight:bold;" target="_blank" title="Click to know more about RELATION">RELATION</a> of F versus r is <a href="https://interviewquestions.tuteehub.com/tag/shown-1206565" style="font-weight:bold;" target="_blank" title="Click to know more about SHOWN">SHOWN</a> in the diagram. <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/KPK_AIO_PHY_XI_P1_C08_E04_025_S02.png" width="80%"/></body></html>


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