InterviewSolution
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InterviewSolution
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A small object of uniform density rolls up a curved surface with an initial velocity v. it reaches up to a maximum height of `(3v^2)/(4g) with respect to the initial position. The object isA. ringB. solid sphereC. hollow sphereD. disc |
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Answer» Correct Answer - D As, `v=sqrt((2gh)/(1+K^(2)//R^(2)))` Given, `h=(3v^(2))/(4g)rArrv^(2)=(2gh)/(1+(K^(2))/(R^(2)))=(2g 3v^(2))/(4g(1+(K^(2))/(R^(2))))=(6gv^(2))/(4g(1+(K^(2))/(R^(2))))` `1=(3)/(2(1+K^(2)//R^(2)))or1+(K^(2))/(R^(2))=(3)/(2)` or `(K^(2))/(R^(2))=(3)/(2)-1=(1)/(2)rArrK^(2)=(1)/(2)R^(2)` (Equation of disc) Hence, the object is disc. |
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