TS EAMCET · Physics · Mechanical Properties of Solids
Two wires of same length having radius of \(2 \mathrm{~mm}\) and \(1.5 \mathrm{~mm}\) respectively are loaded with same weights. Extension of the second wire is double than that of the first wire. What is the ratio of the Young's modulus of the first wire to that of the second wire?
- A 8/9
- B 9/8
- C 3/4
- D 4/3
Answer & Solution
Correct Answer
(B) 9/8
Step-by-step Solution
Detailed explanation
\(\Delta \mathrm{l}=\frac{\mathrm{mgl}}{\gamma \mathrm{A}}\) \(\Rightarrow \quad \frac{\Delta \mathrm{l}_1}{\Delta \mathrm{l}_2}=\frac{\gamma_2}{\gamma_1} \times\left(\frac{\mathrm{r}_2}{\mathrm{r}_1}\right)^2\)…
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