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Question

The coefficient of volume expansion of mercury is 20 times the coefficient of linear expansion of glass. Find the volume of mercury that must be poured into a glass vessel of volume V so that the volume above mercury may remain constant at all temperature


A

V10

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B

3V10

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C

5V10

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D

3V20

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Solution

The correct option is D

3V20


γHg=20αg
from given condition, Vhg×γHg=V×γvessel
VHg=V×3αg20αg=3V20


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