Torricelli's barometer used mercury but pascal duplicated it using French wine of density `984 kg m^(-3)` . In that case, the height of the wine column for normal atmospheric pressure is
(Take the density of mercury `=1.36xx10^(3) kg m^(-3)`)

Options

A. 5.5 m
B. 10.5 m
C. 9.8 m
D. 15 m

Answer

B

Explanation

As `P=hrhog`
Height of mercury column in Torricelli's barometer
`0.76m ` of Hg,
`rho_("mercury")=13.6xx10^(3) kg m^(-3)`,
`rho_("french wine")=984 kg m^(-3)`
or `0.76xx(13.6xx10^(3))xx9.8=hxx984xx9.8`
or `h=(0.76xx13.6xx10^(3)xx9.8)/(984xx9.8)=10.5`m