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For an inclined plane a sphere a disc, a...

For an inclined plane a sphere a disc, a ring and a shell are rolled without slipping. The order of their reaching at the base will be ________ .

A

Ring , shell, disc, sphere

B

Shell, sphere,disc, ring

C

Sphere, disc, shell, ring

D

Ring , sphere , disc, shell

Text Solution

Verified by Experts

The correct Answer is:
C
For rolling motion
(Translational + Rotational)
Acceleration f `= (g sin theta)/(1+K_(2)/(R^(2)))`
For sphere, `K = Rsqrt((2)/(5))`
`implies " " f_(1) = (g sin theta)/(1.4)`
For disc, `K = R xx (1)/(sqrt(2))`
`implies f_(2) =(g sin theta)/(1.5)`
For shell , `K = Rsqrt((2)/(3))`
`implies f_(3) = (g sin theta)/(1.66) `
For ring K = R
`implies f _(4) = (g sin theta)/(2.0)`
`:. f_(2) gt f_(2) gtf_(3) gt f_(4)`
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