InterviewSolution
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InterviewSolution
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The escape velocity from a spherical satellite is `v_(e)`. The escape velocity from another satellite of double the radius and half the mean density will beA. `(V_(e))/(2)`B. `2V_(e)`C. `sqrt2V_(2)`D. `(V_(e))/(3)` |
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Answer» Correct Answer - C `v_(e1)=sqrt((2GM_(1))/(R_(1)))=sqrt((2G xx(4)/(3)pi R_(1)^(3)xx d_(1))/(R_(1)))` `therefore v_(e1)=(2sqrt(2)R_(1))/(sqrt(3))sqrt(pi G d_(1))` `v_(e2)=(2sqrt(2)2R_(1))/(sqrt(3))xx sqrt(pi G(d_(1))/(2))` `therefore (v_(e2))/(v_(e1))=2sqrt((d_(1))/(2d_(1)))=(2)/(sqrt(2))=sqrt(2)` `therefore v_(e2)=sqrt(2)v_(e1)` |
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