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The height of a mercury barometer is 75 ...

The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. Ration of density of mercury to that of air is `10^(4)`. The height of the hill is

A

2Km

B

3.5Km

C

4Km

D

5Km

Text Solution

Verified by Experts

The correct Answer is:
B

`Delta H rho_(Hg) g= h rho_(av) g`
`h= (Delta H rho_(Hg) g)/(rho_(av) g)= (95-60) 10^(-2) xx 10^(-4)`
`h= 35 xx 10^(2)= 3500= 3.5Km`
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