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Q.

Water is filled up to height of 12m in a tank having vertical sidewalls. A hole in made in one of the walls at a depth h below the water level. The value of h for which the emerging stream of water strikes the ground at maximum range is _____m

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answer is 6.

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Detailed Solution

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R=2gh×(12-h)×2g

R=4h(12-h)

dRdh=0

⇒d48h-4h2dh=(24-4h)48h-4h2=0

⇒h=6m

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