A) \[\frac{1}{4}\]
B) \[\frac{1}{5}\]
C) \[\frac{1}{3}\]
D) \[\frac{1}{7}\]
E) \[\frac{1}{8}\]
Correct Answer: A
Solution :
MI of thin rod about an axis passing through mid-point is \[\frac{m{{l}^{2}}}{12}.\] Also, MI of thin rod about an axis passing through one of its end is\[\frac{1}{3}m{{l}^{2}}.\] Now, required ratio\[=\frac{\frac{1}{12}m{{l}^{2}}}{\frac{1}{3}m{{l}^{2}}}=\frac{1}{4}\]
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