System of Particles and Rotational Motion - Result Question 78

84. A small object of uniform density rolls up a curved surface with an initial velocity ’ v ‘. It reaches upto a maximum height of 3v24g with respect to the initial position. The object is a

(a) solid sphere

(b) hollow sphere

(c) disc

(d) ring

[2013]

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Answer:

Correct Answer: 84. (c)

Solution:

  1. (c)

From law of conservation of mechanical energy,

12Iω2+0+12mv2=mg×3v24g

12Iω2=34mv212mv2

12Iω2=mv22(321)

or, 12I(V2R2)=mv24 or, I=12mR2

Hence, object is a disc.



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