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Physics Question on mechanical properties of fluid

A liquid is filled upto a height of 20 cm20\, cm in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (g=10  ms−2)(g = 10 \; ms^{-2})

A

1.2  ms−11.2 \; ms^{-1}

B

1  ms−11 \; ms^{-1}

C

2  ms−12 \; ms^{-1}

D

3.2  ms−13.2 \; ms^{-1}

Answer

2  ms−12 \; ms^{-1}

Explanation

Solution

Given, h=20 cm,=0.2 mh=20\, cm ,=0.2\, m
and g=10 ms−2g=10\, ms ^{-2}
We know that, V=2ghV=\sqrt{2 g h}
Speed of liquid coming out of a small hole,
⇒ V=2×10×0.2=2 ms−1\Rightarrow \,V=\sqrt{2 \times 10 \times 0.2}=2\, ms ^{-1}