Question

# Water (ρ=1000 kg/m3) and kerosene (ρ=800 kg/m3) are filled separately in two identical cylindrical vessels having small heights. Both vessels have small holes at their bottom. The speed of the water and kerosene coming out of their holes are v1 and v2 respectively. Select the correct option.

A
v1=v2
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B
v1=3v2
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C
v1=2v2
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D
v1=4v2
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Solution

## The correct option is A v1=v2Given, Speed of water (ρ=1000 kg/m3) coming out of hole =v1 Speed of kerosene (ρ=800 kg/m3) coming out of hole =v2 We know that for small heights of vessels, speed of efflux is independent of density of fluid. Speed of efflux for small holes, v=√2gh which is independent of density. Therefore, v1=v2

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