A) \[{{\left( \frac{{{L}_{1}}}{{{L}_{2}}} \right)}^{2/3}}\]
B) \[\frac{{{L}_{1}}}{{{L}_{2}}}\]
C) \[\frac{{{L}_{2}}}{{{L}_{1}}}\]
D) \[{{\left( \frac{{{L}_{2}}}{{{L}_{1}}} \right)}^{2/3}}\]
Correct Answer: D
Solution :
\[{{T}_{1}}{{V}_{1}}^{\gamma -1}={{T}_{2}}{{V}_{2}}^{\gamma -1}\]\[\Rightarrow \frac{{{T}_{1}}}{{{T}_{2}}}={{\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)}^{\,\gamma -1}}\]\[={{\left( \frac{{{L}_{2}}A}{{{L}_{1}}A} \right)}^{\,\frac{5}{3}-1}}={{\left( \frac{{{L}_{2}}}{{{L}_{1}}} \right)}^{\,\frac{2}{3}}}\]You need to login to perform this action.
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