A) \[0.89\,\,cm\]of\[Hg\]
B) \[8.9\,\,cm\]of\[Hg\]
C) \[0.5\,\,cm\]of\[Hg\]
D) \[1\,\,cm\]of\[Hg\]
Correct Answer: A
Solution :
In horizontal pipe \[{{p}_{1}}+\frac{1}{2}\rho {{v}_{1}}^{2}={{p}_{2}}+\frac{1}{2}\rho {{v}_{2}}^{2}\] Here, \[{{p}_{1}}={{\rho }_{m}}g{{h}_{1}}=13600\times 9.8\times {{10}^{-2}}\] \[{{p}_{2}}=13600\times 9.80\,\,h\] \[\rho =1000\,\,kg/{{m}^{3}}\] \[{{v}_{1}}=35\times {{10}^{-2}}\,\,m/s\] \[{{v}_{2}}=6.5\times {{10}^{-2}}\,\,m/s\] \[13600\times 9.8\times {{10}^{-2}}+\frac{1}{2}\times 1000\times {{(0.35)}^{2}}\] \[=13600\times 9.8\times h+\frac{1}{2}\times 1000\times {{(0.65)}^{2}}\] After solving \[0.89\,\,cm\] of\[Hg\].
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