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The volume of the bulb of a mercury ther...

The volume of the bulb of a mercury thermometer is 1 `cm^(3) " at " 0^(@)C,` and it is filled with mercury at that temperature. The tube attached to the bulb has an area of cross-section 0.1 `mm^(2)`. If the coefficient of apparent expansion of mercury is `16 times 10^(-5@)C^(-1)`, find the length up to which mercury expands in the tube, when the bulb is immersed in boiling water.

Text Solution

Verified by Experts

The expansion of mercury in the bulb = initial volume of mercury `times` its coefficient of apparent expansion `times` increase in temperature
`" "=1 times 16 times 10^(-5) times (100-0)=16 times 10^(-3)cm^(3)`
Suppose the mercury thread expands by a length x in the tube.
`therefore " " x times 0.1 times 10^(-2)=16 times 10^(-3) " " therefore x=16cm.`
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