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 :
[d] Here \[T{{V}^{^{\gamma -1}}}=\text{constant}\] As \[\gamma =\frac{5}{3},\] hence \[T{{V}^{2/3}}=\text{constant}\] Now\[{{T}_{1}}L_{1}^{2/3}={{T}_{2}}L_{2}^{2/3}\text{ (}\therefore V\propto L\text{)}\]; Hence, \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left( \frac{{{L}_{2}}}{{{L}_{1}}} \right)}^{2/3}}\]You need to login to perform this action.
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