Physics-
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Question

The figure shows a glass tube (linear co-efficient of expansion is a) completely filled with a liquid of volume expansion co-efficient g. On heating length of the liquid column does not change. Choose the correct relation between g and a

  1. gamma equals alpha    
  2. gamma equals 2 alpha    
  3. gamma equals 3 alpha    
  4. gamma equals fraction numerator alpha over denominator 3 end fraction    

The correct answer is: gamma equals 2 alpha


    When length of the liquid column remains constant, then the level of liquid moves down with respect to the container, thus g must be less than 3a.
    Now we can write V = V0(1 + g DT)
    Since V = Al0 = [A0 (1 + 2aDT)]l0 = V0 (1 + 2aDT)
    Hence V0(1 + g DT) = V0(1 + 2aDT) Þ g = 2a

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