JEE Main & Advanced
Physics
Rotational Motion
JEE PYQ-Rotational Motion
question_answer
A thin rod of length L is lying along the x-axis with its ends at \[x=0\] and \[x=L\]. Its linear density (mass/length) varies with x as \[k{{\left( \frac{x}{L} \right)}^{n}}\], where n can be zero or any positive number. If the position \[{{x}_{CM}}\] of the centre of mass of the rod is plotted against n, which of the following graphs best approximates the dependence of \[{{x}_{CM}}\] on n? [AIEEE 2008]