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An open cyclindrical container has a cro...

An open cyclindrical container has a cross sectiional area `A_(0)=150cm^(2)` and water has been filled in it up to a height h. A cylinder made of wood (relative density=0.6) having cross sectional area A=125 `cm^(2)` and length 10cm is now placed inside the container with its axis vertical. Find the distance (x) of the base of the wooden cylinder from the base of the container in equilibrium for following three cases:
(a) h=8cm
(b) h=12cm
(c) h=0.8cm

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The correct Answer is:
(a) 7cm
(b) 0
(c) 0
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