JEE Main 2022 · 25 Jul · Shift 1 · Physics Q35

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PhysicsSingle correct+4 / -1Question 35 of 90

A solid cylinder and a solid sphere, having same mass M and radius R, roll down the same inclined plane from top without slipping. They start from rest. The ratio of velocity of the solid cylinder to that of the solid sphere, with which they reach the ground, will be :

\sqrt{\dfrac53}

\sqrt{\dfrac45}

\sqrt{\dfrac35}

\sqrt{\dfrac{14}{15}}

Answer and worked solution

Official answer: D

Rolling. $v^2=\dfrac{2gh}{1+k^2/R^2}$ : cylinder $\frac43gh$ , sphere $\frac{10}7gh$ . Ratio $\sqrt{\frac{14}{15}}$ .

(D)

Topics:Rolling motion

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JEE Main 2022 · 25 Jul · Shift 1, Physics question 35