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Q.

A uniform spherical shell of radius R has mass ‘M’ which is uniformly distributed on its surface. The thickness of the shell is t (<< R). The tensile stress developed in the material of the shell due to the gravitational force is 

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a

GM216πR3t

b

GM22πR3t

c

GM24πR3t

d

GM28πR3t

answer is D.

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Detailed Solution

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The gravitation pressure at any point on the shell is  p=GM28πR4;  p(πR2)=σ02πRt 
σ0 = tensile stress  

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