A) \[\left( \frac{x}{10} \right)N{{m}^{-2}}\]
B) \[\left( \frac{x}{100} \right)N{{m}^{-2}}\]
C) \[10x\,N{{m}^{-2}}\]
D) \[\left( \frac{x}{{{10}^{4}}} \right)\,N{{m}^{-2}}\]
Correct Answer: A
Solution :
Dyne\[c{{m}^{-2}}\]can be converted into\[N{{m}^{-2}}\]either using dimensions or remembering 1 dyne\[={{10}^{-5}}m\] \[\frac{1\,dyne}{c{{m}^{2}}}=\frac{{{10}^{-5}}}{{{10}^{-4}}}\frac{N}{{{m}^{2}}}={{10}^{-1}}N/{{m}^{2}}\] \[x\frac{dyne}{c{{m}^{2}}}=\frac{x}{10}\frac{N}{{{m}^{2}}}\]
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