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Q.

A tank is filled up to a height 2H with a liquid and is placed on a platform of height H from the ground. The distance x from the ground where a small hole is punched to get the maximum range R is

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a

H

b

1.25 H

c

1.5 H

d

2H

answer is C.

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Detailed Solution

 As x=12gt2;t=2xg

 Velocity of efflux v=2g(3H−x)

 Hence R=Vt=2x(3H−x)

 For range to be maximum dRdx=0

 Which gives x=32H

⇒x=1.5H

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A tank is filled up to a height 2H with a liquid and is placed on a platform of height H from the ground. The distance x from the ground where a small hole is punched to get the maximum range R is