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  • If the ratio of lengths, radii and Young's moduli of steel and brass wires in the figure are a, b and c respectively, then the corresponding ratio of increase in their lengths is : n

If the ratio of lengths, radii and Young's moduli of steel and brass wires in the figure are a, b and c respectively, then the corresponding ratio of increase in their lengths is :

 

Option: 1

\frac{3c}{2ab^{2}}
 


Option: 2

\frac{2a^{2}c}{b}


Option: 3

\frac{3a}{2b^{2}c}

 


Option: 4

\frac{3ac}{b^{2}}


Answers (1)

best_answer

\begin{aligned} &T_S=3 m g\\ &\frac{3 m g}{A_{s}}=y s \times\left(\Delta l_{s}\right)\\ &\frac{2 m g}{A_{B}}=y_{b} \times \frac{\Delta l_{b}}{l_{b}}\\ &\frac{\Delta l_{s}}{\triangle l_{b}}=\frac{3}{2} \times \frac{l_{S}}{l_{b}} \times \frac{A_{b}}{A_{S}} \times \frac{y_{b}}{y_{S}}=\frac{3}{2} \times \frac{a}{b^{2} c} \end{aligned}

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mansi

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