NEET Sample Paper NEET Sample Test Paper-58

  • question_answer
    Two discs one of density \[7.2g/c{{m}^{3}}\]and the other of density\[8.9g/{{m}^{3}}\], are of same mass and thickness. Their moments of inertia are in the ratio:

    A) \[8.9:7.2\]              

    B)   \[7.2:8.9\]

    C) \[8.9\times 7.2:1~\]                   

    D) \[1:8.9\times 7.2\]

    Correct Answer: A

    Solution :

    [a] \[{{I}_{1}}=\frac{1}{2}{{M}_{2}}r_{1}^{2}\] \[{{I}_{2}}=\frac{1}{2}{{M}_{2}}r_{2}^{2}\] \[\frac{{{I}_{1}}}{{{I}_{2}}}=\frac{\frac{1}{2}{{M}_{1}}r_{1}^{2}}{\frac{1}{2}{{M}_{2}}r_{2}^{2}}=\frac{r_{1}^{2}}{r_{2}^{2}}=\frac{{{d}_{2}}}{{{d}_{1}}}=\frac{8.9}{7.2}\]


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