Physics-
General
Easy

Question

Two identical cylindrical vessels with their bases at same level each contains a liquid of density rho. The height of the liquid in vessel is h1 and that in the other vessel is h2. The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected, is

  1. open parentheses straight h subscript 1 minus straight h subscript 2 close parentheses straight g rho
  2. open parentheses straight h subscript 1 minus straight h subscript 2 close parentheses gA rho
  3. 1 half open parentheses h subscript 1 minus h subscript 2 close parentheses squared g A rho
  4. 1 fourth open parentheses h subscript 1 minus h subscript 2 close parentheses squared g A rho

The correct answer is: 1 fourth open parentheses h subscript 1 minus h subscript 2 close parentheses squared g A rho


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