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A large vessel with a small hole at the bottom is filled with water and kerosene. The height of the water column is 20 cm and that of the kerosene is 25 cm. The velocity with with which water flows out of the hole is ( density of kerosene=0.8 gm/cc) (Neglect viscous force)

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2 ms^-1

4 ms^-1

2.8 ms^-1

3 ms^-1

answer is C.

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Detailed Solution

Since water has a higher density than kerosene oil, it will sink to the bottom.

From Bernoulli's principle

$h_{k} d_{k} g + h_{w} d_{w} g = \frac{1}{2} d_{w} v^{2}$

$V = \sqrt{2 g (h_{k} \frac{d_{k}}{d_{w}} + h_{w})} = \sqrt{2 \times 10 \times (. 25 \times \frac{800}{1000} + 0.2)} = 2.8 m / s$

Hence the correct answer is 2.8m/s.

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