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Physics Fluid Mechanics Pressure and Density MCQ (Single Correct)

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

A
250 m
B
2.5 km
C
1.25 km
D
750 m

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Text Solution

Verified by Experts
The correct answer is:
B

Difference of pressure between sea level and the top of hill

Δ Δ P …(i)

and pressure difference due to h meter of air

Δ Δ P = …(ii)

By equating (i) and (ii) we get

∴ ∴ Height of the hill = 2.5 km.

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