COMEDK · Physics · 10. Mechanical Properties of Solids
If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are \(p, q\) and \(s\) respectively, then the corresponding ratio of increase in their lengths would be
- A \(\frac{5 q}{7 s p^{2}}\)
- B \(\frac{7 q}{5 s p^{2}}\)
- C \(\frac{2 q}{5 s p}\)
- D \(\frac{7 q}{5 s p}\)
Answer & Solution
Correct Answer
(B) \(\frac{7 q}{5 s p^{2}}\)
Step-by-step Solution
Detailed explanation
Young's modulus, \(Y=\frac{F L}{A \Delta L}=\frac{4 F L}{\pi D^{2} \Delta L}\) \(\Rightarrow \quad \Delta L=\frac{4 F L}{\pi D^{2} Y}\) The ratio of increase in length of steel and copper is…
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