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A rocket is launched vertical from the surface of the earth of radius R with an initial speed `v`. If atmospheric resistance is neglected, then maximum height attained by the rocket isA. `h=(R )/((2gR)/(V^(2))-1)`B. `h=(R )/((2gR)/(V^(2))+1)`C. `h=(R )^(2)/((2gR)/(V^(2))-1)`D. `h=(R )^(2)/((2gR)/(V^(2))+1)` |
Answer» Correct Answer - A `1/2 mv^(2)=(mgR)/(1+(R )/(h)) rarr 1+(R )/(h)=2gR//v^(2)` `therefore (R )/(h=(2gR)/(v^(2))-1` |
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