A) \[\frac{3}{5}\]
B) \[\frac{4}{3}\]
C) \[\frac{5}{3}\]
D) \[\frac{3}{2}\]
Correct Answer: D
Solution :
\[\rho \propto {{T}^{3}}\]or \[\rho {{T}^{-3}}=k\] (1) For adiabatic process \[P{{V}^{\gamma }}=C\] or \[P{{\left( \frac{RT}{P} \right)}^{\gamma }}=c\]or \[{{P}^{1-\gamma }}{{T}^{-\gamma }}=C'\] or \[P{{T}^{\frac{\gamma }{1-\gamma }}}=C''=k\] Comparing (1) and (2) \[\frac{\gamma }{1-\gamma }=-3\]or \[\gamma =\frac{3}{2}.\] Hence, the correction option is [d].You need to login to perform this action.
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