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Question

# A tank with vertical walls is mounted so that its base is at a height of 1.2m above the horizontal ground. The tank is filled with water to a depth 2.8m. A hole is punched in the side wall of thetank at a depth x m below the surface of water to have maximum range of the emerging stream.Then the value of x in meter is

A
4.0
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B
1.6
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C
2.0
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D
2.3
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Solution

## The correct option is C 2.0Velocity of ejection at a depth x is √2gxtime of flight =√2H9=√2(1.2+2.8−x)9=√2(4−x)9∴ Horizontal Range R=Vt=√4x(4−x)=2√x(4−x)dRdx=0⇒x=42=2m

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