A) \[\frac{2{{P}_{1}}{{T}_{1}}}{{{T}_{1}}+{{T}_{2}}}\]
B) \[\frac{{{T}_{1}}}{2{{P}_{1}}{{T}_{2}}}\]
C) \[\frac{2{{P}_{1}}{{T}_{2}}}{{{T}_{1}}+{{T}_{2}}}\]
D) \[\frac{2{{p}_{1}}}{{{T}_{1}}+{{T}_{2}}}\]
Correct Answer: C
Solution :
\[\frac{{{P}_{1}}}{{{T}_{1}}}+\frac{{{P}_{1}}}{{{T}_{1}}}=\frac{P}{{{T}_{1}}}+\frac{P}{{{T}_{2}}}\] \[\frac{2{{P}_{1}}}{{{T}_{1}}}=P\left( \frac{{{T}_{1}}+{{T}_{2}}}{{{T}_{1}}{{T}_{2}}} \right)\]; \[\therefore P=\frac{2{{P}_{1}}({{T}_{1}}{{T}_{2}})}{{{T}_{1}}({{T}_{1}}+{{T}_{2}})}=\frac{2{{P}_{1}}{{T}_{2}}}{{{T}_{1}}+{{T}_{2}}}\]You need to login to perform this action.
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