InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
A particle is prjected vertically upwards the surface of the earth (radius `R_(e))` with a speed equal to one fourth of escape velocity what is the maximum height attained by it from the surface of the earth?A. `(16)/(15)R_(e)`B. `(R_(e))/(15)`C. `(4)/(15)R_(e)`D. None of these |
|
Answer» Correct Answer - B From conservation of mechanical energy `(1)/(2)mv^(2)=(GMm)/(R_(e))-(GMm)/(R)` Where `R=` maximum distance from centre of the earth also `v=(1)/(4)v_(e)=(1)/(4)sqrt((2GM)/(R_(e)))` `implies(1)/(2)mxx(1)/(16)xx(2GM)/(R_(e))=(GMm)/(R_(e))-(GMm)/(R)impliesR=(16)/(15)R_(e)impliesh=R-R_(e)=(R_(e))/(15)`. |
|