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A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D

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a

x=D(H−D)

b

x=D(H−D)2

c

x=2D(H−D)

d

x=4D(H−D)

answer is C.

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Detailed Solution

Time taken by water to reach the bottomt=2(H−D)gand velocity of water coming out of hole, v=2gD∴ Horizontal distance covered x=v×t=2gD×2(H−D)g=2D(H−D)
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A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D