Identify the correct order in which the values of M.I. decreases for the followingi) M.I. of solid sphere of mass 'M' and radius 'R' about its diameter of rotationii) M.I. of uniform ring of mass 'M' and radius 'R' about its tangent perpendicular to its planeiii) M.I. of uniform disc of mass 'M' and radius 'R' about its diameteriv) M.I of a uniform solid cylinder of mass M about its own axis of rotation
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a
iii, i, iv, ii
b
i, iv, iii, ii
c
ii, iv, i, iii
d
iv, iii, ii, i
answer is C.
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Detailed Solution
For the sphere, I1 = 2/5 MR2For the ring, I2 = MR2 + MR2 = 2MR2For the disc, I3 = 1/4 mR2For the cylinder, I4 = 1/2 MR2∴ I2 > I4 > I1 > I3So, option -(3) is correct.