A solid block has sides of length L, 2L and 4L. The block is submerged in water of uniform density so that the faces with the largest area are horizontal, as shown.
The upthrust acting on the block is U.
The block is now rotated to a new position so that the faces with the smallest area are horizontal. The block remains fully submerged in the water.
What is the upthrust acting on the block in its new position?
A U/4
B U
C 2U
D 4U
ANSWER: B
The Physics Behind
- Archimedes Principle states that the upthrust acting on a body is equal in magnitude to the weight of the liquid or gas that it displaces.
- In the question above, regardless of the orientation of the block, it will displace the same amount of volume of water.
- This means that the weight of the displaced water remains the same. So, the answer is B.
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