A) \[1.00\,\,cm\]
B) \[0.25\,\,cm\]
C) \[0.37\,\,cm\]
D) \[0.75\,\,cm\]
Correct Answer: B
Solution :
For same material the ration of stress to strain is same For first cube \[Stres{{s}_{1}}=\frac{{{10}^{5}}}{({{0.1}^{2}})}\] \[strai{{n}_{1}}=\frac{0.5\times {{10}^{-2}}}{0.1}\] For second block, \[stres{{s}_{2}}=\frac{{{10}^{5}}}{{{(0.2)}^{2}}}\] \[strai{{n}_{2}}=\frac{x}{0.2}\] where\[x\] is the displacement for second block. For same material, \[\frac{stres{{s}_{1}}}{strai{{n}_{1}}}=\frac{stres{{s}_{2}}}{strai{{n}_{2}}}\] From this \[x=0.25cm\]
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