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The coefficient of volumetric expansion ...

The coefficient of volumetric expansion of mercury is `18xx10^(-5)//^(@)C` . A thermometer bulb has a volume `10^(-6)m^(3)` and cross section of stem is `0.004 cm^(2)`. Assuming that bulb is filled with mercury at `0^(@)C` then the length of the mercury column at `100^(@)C` is

A

9cm

B

9mm

C

18cm

D

18mm

Text Solution

Verified by Experts

The correct Answer is:
A
The increase in the length of mercury column is
`DeltaL_(Hg) = (gamma_(Hg) V Delta T)/(A) = ((18 xx 10^(-5) ""^(@)C^(-1)) (10^(-6) m^(3)) (100^(@)C))/((0.002 xx 10^(-4) m^(2)))`
`=9 xx 10^(-2) m= 9cm`
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