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The barometric height at a certain place...

The barometric height at a certain place is 0.75 m of mercury. What will be the barometric height ifa liquid of density `3.4xx 10^3kg/m^3` is used to llll the barometric tube?
`[P_("mercury")=13.6xx10^3kg//m^3`]

A

2m

B

2.5m

C

3 m

D

3.5 m

Text Solution

Verified by Experts

The correct Answer is:
B
Barometric height using mercury
`=h_1=0.75m` of mercury
`rho_("mercury")=13.6xx10^3kg//m`
`rho_("liquid")=3.4xx10^3kg//m^3`
`:." "(rhom)/(rhoL)=(13.6xx10^3)/(3.4xx10^3)=4`
The barometer measures the atmospheric pressure (P)
`P=h_1rho_mg` and `P=h_2rho_Lg`(with the liquid)
`:." "h_1rho_mg=h_2rho_Lg`
`:." "(h_2)/(h_1)=(rhom)/(rhoL)=4`
`:." "h_2=4h_1=4xx0.75=3m`
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