A block of wood is floating on the surface of water inside a container at rest. Now the container i…

Question

A block of wood is floating on the surface of water inside a container at rest. Now the container is given some acceleration as shown in column I. Some observation are shown in column II. Match the columns
Column-IColumn-I(i)    [A] Buoyant force on the block increases(ii) [B] Buoyant force on the block decreases(iii)[C] Pressure at the bottom of the container is non uniform(iv) [D] Pressure at the bottom of the container is uniform

CGP EDU Academic Team · Accepted Answer

The correct answer is A. In this problem, we analyze the behavior of a floating block in a container of water when the container is accelerated.  Step 1: Understand the concept of buoyancy. The buoyant force on the block is equal to the weight of the fluid displaced by the block.  Step 2: When the container accelerates to the right, the apparent weight of the water increases as observed from inside the container due to the inertia acting on the water. This results in an increase in the hydrostatic pressure at the point where the block is submerged.  Step 3: The increased pressure leads to an increase in the buoyant force acting on the block, because the buoyant force increases with increased depth (which is a consequence of the accelerating frame).  Therefore, for the first observation in Column-I, (i) is matched with [A] as the buoyant force on the block increases.  This leads to the conclusion that the correct answer for this pairing is A.

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Column-I	Column-I
(i)	[A] Buoyant force on the block increases
(ii)	[B] Buoyant force on the block decreases
(iii)	[C] Pressure at the bottom of the container is non uniform
(iv)	[D] Pressure at the bottom of the container is uniform

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