Mechanical Properties of Fluids - Result Question 1

1. In a u-tube as shown in the fig. water and oil are in the left side and right side of the tube respectively. The heights from the bottom for water and oil columns are $15 cm$ and $20 cm$ respectively. The density of the oil is

[take $\pi$ water $=1000 kg / m^{3}$ ] [NEET Odisha 2019]

(a) $1333 kg / m^{3}$

(b) $1200 kg / m^{3}$

(c) $750 kg / m^{3}$

(d) $1000 kg / m^{3}$

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Solution:

  1. (c) Pressure at $A=$ Pressure at $B$.

$P_a+0.15 \times 10^{3} \times g=P_a+0.20 \times d_0 g$

$d_0=\frac{0.15 \times 10^{3}}{0.20}=0.75 \times 10^{3}=750 kg / m^{3}$