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An object of mass is projected from center of earth along a smoot tunnel dug along te horizontal diameter as shown in the figure. Then choose the conditon on values of v for the object to cross P at least twice.A. `(sqrt(gR))/(2)ltVltsqrt(gR)`B. `(sqrt(gR))ltVltsqrt(3gR)`C. `sqrt(gR)//2ltVltsqrt(3gR)`D. `sqrt(gR)//4ltVltsqrt(3gR)` |
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Answer» Correct Answer - C `(mv_(E)^(2))/(2)(-3)/(2)(GmM)/(R)=0` [for escape velocity `V_(E)]` `V_(E)=sqrt(3gR)` for S.H.M in tunnel `[omega=sqrt(g//R)]` `V_(Max)=omegaA=(sqrt((g)/(R)))(R)/(2)=(sqrt(gR))/(2)` |
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