Verified Solution • 2025–26 Session
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QNEET-2016-Ph-1060: NEET 2016 Physics - Class 11 NEET-2016-Ph-1060 Solution: A disc and a sphere of same radius but different masses roll…
A disc and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first? Both reach at the same time Depends on their masses Disc Sphere
Multiple Choice Options
- A Both reach at the same time
- B Depends on their masses
- C Disc
- D Sphere
Step-by-Step Verified Solution
Time taken by the body to reach the bottom
when it rolls down on an inclined plane without
slipping is given by
t = 2 l ( 1 + k 2 R 2 ) g sin _ _
Since g is constant and l , R and sin _ are same for
both
_ t d t s = 1 + k d 2 R 2 1 + k s 2 R 2 = 1 + R 2 2 R 2 1 + 2 R 2 5 R 2
( _ k d = R 2 , k s = 2 5 R )
_ 3 2 _ 5 7 = 15 14 _ t d > t s