A) \[8.6\times {{10}^{-5}}\,m\]
B) \[7.9\times {{10}^{-9}}\,m\]
C) \[8.2\times {{10}^{-7}}\,m\]
D) \[8.6\times {{10}^{-8}}\,m\]
E) \[8.8\times {{10}^{-9}}\,m\]
Correct Answer: E
Solution :
As \[Y=\frac{\text{stress}}{\text{strain}}=\frac{T/A}{l/L}\] \[\Rightarrow \] \[l=\frac{TL}{AY}\] \[=\frac{100\times 4.5}{\pi \times 9\times {{10}^{-6}}\times 4.8\times {{10}^{11}}}\] \[=3.32\times {{10}^{-6}}m\] Again Poisson ratio, \[=\frac{\Delta d/d}{l/L}=\frac{\Delta d\times 4.5}{3.32\times {{10}^{-5}}\times 6\times {{10}^{-3}}}\] \[\Rightarrow \] \[\Delta d=\frac{0.2\times 6\times 3.32\times {{10}^{-8}}}{4.5}\] \[=8.8\times {{10}^{-9}}m\]You need to login to perform this action.
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