A) \[{{10}^{3}}N{{m}^{-2}}\]
B) \[{{10}^{4}}N{{m}^{-2}}\]
C) \[{{10}^{6}}N{{m}^{-2}}\]
D) \[{{10}^{8}}N{{M}^{-2}}\]
Correct Answer: C
Solution :
\[\frac{1}{2}Y{{\left( \frac{\Delta \ell }{\ell } \right)}^{2}}A\ell =\frac{1}{2}m{{V}^{2}}\] \[\Rightarrow \] \[y=\frac{m{{V}^{2}}\ell }{A{{(\Delta \ell )}^{2}}}\] \[Y=\frac{(0.02){{(20)}^{2}}(0.42)}{\pi (9\times {{10}^{-6}})(0.2)}\simeq {{10}^{6}}.\]
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