| \[(Take\text{ }g\text{ }=\text{ }10\text{ }m\text{ }{{s}^{-2}})\] |
A) \[0.8\times {{10}^{2}}\text{ }N\text{ }{{m}^{-2}}\]
B) \[0.8\times {{10}^{4}}\text{ }N\text{ }{{m}^{-2}}\]
C) \[1.6\times {{10}^{2}}\text{ }N\text{ }{{m}^{-2}}\]
D) \[1.6\times {{10}^{4}}\text{ }N\text{ }{{m}^{-2}}\]
Correct Answer: D
Solution :
Density of oil \[\text{(}{{\rho }_{o}}\text{)=0}\text{.60 g/cc = 600 kg/}{{\text{m}}^{\text{3}}}\] Density of water \[({{\rho }_{w}})=1g/c{{m}^{3}}=1000kg/{{m}^{3}}\] Pressure due to water \[=h{{\rho }_{w}}g\] \[=1\times 1000\times 10=10000\text{ }N\text{ }{{m}^{-2}}\] Pressure due to oil \[=h{{\rho }_{o}}g\] \[=1\times 600\times 10=6000\,\,\text{N}{{\text{m}}^{\text{-2}}}\] Total pressure \[=10000+6000\] \[\text{= 16000 N }{{\text{m}}^{\text{-2}}}\text{=1}\text{.6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{4}}}\text{ N }{{\text{m}}^{\text{-2}}}\]
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