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AP EAMCET2011PhysicsMechanical Properties of Fluids

A non-conducting body floats in a liquid at 20^ C with 2 3 of its volume immersed in the liquid. When liquid temperature is increased to 100^ C , 3 4 of body's volume is immersed in the liquid. Then the coefficient of real expansion of the liquid is (neglecting the expansion of container of the liquid)

Options

  1. A15.6 10^ -4 C ⁻¹
  2. B156 10^ -4 C ⁻¹
  3. C1.56 10^ -4 C ⁻¹
  4. D0.156 10^ 4 C ⁻¹

Correct answer

A. 15.6 10^ -4 C ⁻¹

Step-by-step solution

Coefficient of real expansion aligned & _R= V₂-V₁ V₁ (t₂-t₁ ) & Here, V₂= 3 4 , V₁= 2 3 & and (t₂-t₁ )=(100-20)=80^ C & _R= ( 3 4 - 2 3 ) 2 3 (80) = 1 640 & =15.6 10⁻⁴ C ⁻¹ & aligned

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