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The fraction of the volume of a glass fl...

The fraction of the volume of a glass flask must be filled with mercury so that the volume of the empty space may be the same at all temperature is
`(alpha_("glass") = 9 xx 10^(-6)//^(0)C, gamma_(Hg) = 18.9 xx 10^(-5) // ^(0)C)`

A

`(1)/(2)`

B

`(1)/(7)`

C

`(1)/(4)`

D

`(1)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
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A one litre flask contains some mercury. It is found that at different temperatures the volume of air inside the flask remains the same. The volume of mercury in the flask is (alpha_(glass)=9xx10^(-6)//^(@)C,gamma_(Hg)=180xx10^(-6)//^(@)C)

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a glass tube of length 133cm and of uniform cross-section is to be filled with mercury so that the volume of the unoccupied by mercury remains the same at all temperatures. If cubical coefficient for glass and mercury are respectively 0.000026//^(@)C and 0.000182//^(@)C , calculate the length of mercury column.

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