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A solid cylinder and a hollow cylinder , both of the same mass and same external diameter are released from the same height at the same time on an inclined plane . Both roll down without slipping . Which one will reach the bottom first ?

Answer» <html><body><p>Both together only when angle of inclination of <a href="https://interviewquestions.tuteehub.com/tag/plane-1155510" style="font-weight:bold;" target="_blank" title="Click to know more about PLANE">PLANE</a> is `45^(@)`<br/>Both together <br/>Hollow cylinder <br/>Solid cylinder </p>Solution :Time taken to reach the <a href="https://interviewquestions.tuteehub.com/tag/bottom-401202" style="font-weight:bold;" target="_blank" title="Click to know more about BOTTOM">BOTTOM</a> of inclined plane is `t = <a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>((2 I (1 + (K^(2))/(R^(2))))/(g sin theta))` <br/> Here , l is length of <a href="https://interviewquestions.tuteehub.com/tag/incline-1039880" style="font-weight:bold;" target="_blank" title="Click to know more about INCLINE">INCLINE</a> plane <br/> For solid cylinder `K^(2) = (R^2)/(2)` <br/> For hollow cylinder `K^2 - R^2` <br/> <a href="https://interviewquestions.tuteehub.com/tag/hence-484344" style="font-weight:bold;" target="_blank" title="Click to know more about HENCE">HENCE</a> , solid cylinder will reach the bottom first .<br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/MTG_NEET_GID_PHY_XI_C05_E03_003_S01.png" width="80%"/></body></html>


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