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Question

A glass bulb of volume 250cc is filled with mercury at 200C and the temperature is raised to 1000C. If the coefficient of linear expansion of glass is 9×106/0C Coefficient of absolute expansion of mercury is 18×104/0C. The volume of mercury that overflows is


A
35.46cc
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B
29.4cc
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C
36.12cc
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D
27.73cc
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Solution

The correct option is B 35.46cc
γglass=3αglass=3×9×106=27×106
γmercury=18×104
Amount of mercury to overflow from the glass Voverflow=V0×(γmercuryγglass)×ΔT=250×(18×10427×106)×(10020)=250×1773×106×80
Voverflow=35.46cc

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