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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 height x from the ground where a small hole is punched to getthe maximum range R is

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a

H

b

1.25 H

c

2H

d

1.5 H

answer is D.

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Detailed Solution

As x=12gt2 ⇒t=2xgVelocity of efflux v=2g(3H−x) Hence R=vt=2x(3H−x) For range to be maximum dRdx=0 which gives x=32H=1.5H
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