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At normal temperature the barometric pre...

At normal temperature the barometric pressure is 76 cm, then the height of water column if water is used instead of mercury is (Give: density of mercury and water at the same temperature is 13.6 g/cc and 0.999 g/cc)

A

1034.6 cm

B

9230.2cm

C

10346 .08 cm

D

103.46 cm

Text Solution

Verified by Experts

The barometer contains mercury, so the pressure =dgh
As the presure is constant, so we can write the equation
`d_(1)gh_(1)=d_(2)gh_(2)`
where `d_(1)=` density of mercury `=13.6` g/cc
`h_(1)=` height of mercury column =76 cm
`d_(2)=` density of water =0.999g/cc
`h_(2)=` height of water column =?
g=acceleration due to gravity
`implies76xx13.6=h_(2)xx0.999`
`impliesh_(2)=(76xx13.6)/0.999=1034.6cm`
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