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# The ratio of maximum tension in two string of same material having radii in the ratio 3 : 5

$\begin{array}{1 1}(A)\;1 : 1\\(B)\;3 : 5\\(C)\;5 : 3\\(D)\;9 : 25\end{array}$

AB the string made up of same material,the breaking stress is same so
$\large\frac{F_1}{a_1}=\frac{F_2}{a_2}$
$\large\frac{F_1}{F_2}=\frac{a_1}{a_2}=(\frac{r_1}{r_2})^2$
$\Rightarrow (\large\frac{3}{5})^2$
$\Rightarrow \large\frac{9}{25}$
Hence (D) is the correct answer.