A) \[{{\rho }_{1}}:{{\rho }_{2}}\]
B) \[{{\rho }_{1}}{{\rho }_{2}}:1\]
C) \[1:{{\rho }_{1}}{{\rho }_{2}}\]
D) \[{{\rho }_{2}}{{\rho }_{1}}\]
Correct Answer: D
Solution :
Moment of inertia of disc I \[=\frac{1}{2}M{{R}^{2}}=\frac{1}{2}M\,\left( \frac{M}{\pi \rho t} \right)=\frac{1{{m}^{2}}}{2\pi \rho t}\] \[I\propto \frac{1}{\rho }\] [If M and t are constants] \[\frac{{{i}_{1}}}{{{i}_{2}}}=\frac{{{\rho }_{1}}}{{{\rho }_{2}}}\] \[{{i}_{1}}:{{i}_{2}}={{\rho }_{2}}:{{\rho }_{1}}\]
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