Physics · 2015
JEE Main · 11 April 2015, Shift 1 · Q5
A uniform thin rod AB of length L has linear mass density μ(x)= a +(b x)/L, where x is measured from A. If the CM of the rod lies at a distance of…
A uniform thin rod AB of length L has linear mass density $\displaystyle \mu(x)=\mathrm{a}+\frac{\mathrm{b} x}{\mathrm{~L}}$, where $\displaystyle x$ is measured from A. If the CM of the rod lies at a distance of $\displaystyle \left(\frac{7}{12} \mathrm{~L}\right)$ from A, then a and b are related as :
Official answer
(3)
$\displaystyle 2 a=b$
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JEE Main 2015 Physics question, with the answer from NTA’s final answer key. Where our answers come from.