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Q.

A solid disc of radius 0.30 m is suspended from a wire. The time period of its  angular oscillation is 3.14 s, if the torque constant of the wire is  1.2×10−3  Nm/rad.  Then the mass of the disc is

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a

6.67 kg

b

1.5 kg

c

6.67 g

d

1.5 g

answer is C.

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Detailed Solution

For torsional pendulam,  T=2πIcHence moment of inertia will be   I=T24π2cI=π24π2×1.2×10−3  I=1.2×10−34=0.3×10−3    kg  m2For a disc moment of inertia is MR22Hence  MR22=0.3×10−3  M=0.6×10−30.3×0.3  M=6.67  ×10−3   kg M=6.67 gram
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