InterviewSolution
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InterviewSolution
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The gravitational potential of two homogeneous spherical shells `A` and `B` of same surface density at their respective centres are in the ratio `3:4`. If the two shells collapse into a single one such that surface charge density remains the same, then the ratio of potential at an internal point of the new shell to shell `A` is equal toA. `3:2`B. `4:3`C. `5:3`D. `5:6` |
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Answer» Correct Answer - C `4pi^(2)rho=4pir_(1)^(2)rhorArr r^(2)=r_(1)^(2)+r_(2)^(2)` `V=(-GM)/r=-(G4pir^(3)rho)/r` `V=-4pirGrhorArr Vpropr` `(V_(1))/(V_(2))=(r_(1))/(r_(2))=3/4rArr (r_(1)^(2))/(r_(2)^(2))=9/16` `r_(1)^(2):r_(2)^(2):r^(2)=r_(1)^(2):r_(2)^(2):(r_(1)^(2)+r_(2)^(2))=9:16:(9+16)` `rArr r_(1):r_(2):r=3:4:5=V_(1):V_(2):V` |
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