| A U-tube contains water and oil separated mercury. The mercury columns in the two arms are at the same level with 10 cm of water in arm and 12.5 cm of oil in the other, as shown figure. What is the relative density of oil? |
 |
A) 0.8
B) 1.0
C) 1.25
D) None of these
Correct Answer: A
Solution :
| Since, the levels A and B of mercury are at the same height in the two arms, the pressure due to \[{{h}_{w}}=10\operatorname{cm}\]of water = pressure due to\[{{h}_{0}}=12.5\]cm of oil, i.e., |
| \[{{h}_{w}}{{\rho }_{w}}h={{h}_{0}}{{\rho }_{0}}g\] |
| \[\therefore \]Relative density of oil\[=\frac{{{\rho }_{0}}}{{{\rho }_{\operatorname{w}}}}=\frac{{{h}_{w}}}{{{h}_{0}}}=\frac{10}{12.5}=0.8\] |
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