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The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1: 4 . What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures ?

Options

  1. A2: 5
  2. B1: 4
  3. C1: 64
  4. D1: 8

Correct answer

B. 1: 4

Step-by-step solution

When there is no change in liquid level in vessel then _ real ^ = ^ vessel Change in volume in liquid relative to vessel V _ app = V _ app ^ = V ( _ real ^ - _ vessel ^ )

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