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Question: In a cylindrical vessel containing liquid of density r, there are two holes in the side walls at hei...

In a cylindrical vessel containing liquid of density r, there are two holes in the side walls at heights of h1 and h2 respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole for which the rage of efflux would be maximum, will be –

A

h2 – h1

B

h2 + h1

C

h2–h12\frac{h_{2}–h_{1}}{2}

D

h2+h12\frac{h_{2} + h_{1}}{2}

Answer

h2+h12\frac{h_{2} + h_{1}}{2}

Explanation

Solution

If H is the height of the liquid surface then for same range h2 = H – h1.

and for maximum range h = H2\frac{H}{2} = h1+h22\frac{h_{1} + h_{2}}{2}