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Q.

A tank with vertical wall is mounted so that it’s base is at a height ‘H’ above the horizontal ground. The tank is filled with water to a depth ‘h’. A hole is punched in the side wall of the tank at a depth ‘x’  below the water surface. To have maximum range of the emerging stream, the value of x is

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a

H+h4

b

H+h2

c

H+h3

d

3(H+h)4

answer is B.

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Detailed Solution

R=u×2hg To have maximum range dRdh=0 R=2g(h-x) ×2(H+h-x)gdRdh=0  ⇒To have maximum range x=H+h2
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A tank with vertical wall is mounted so that it’s base is at a height ‘H’ above the horizontal ground. The tank is filled with water to a depth ‘h’. A hole is punched in the side wall of the tank at a depth ‘x’  below the water surface. To have maximum range of the emerging stream, the value of x is