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Classical Mechanics

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Pressure Measurement: Venus Barometer

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The planet Venus has nearly the same gravity as Earth ($g_V = 8.8\space m/s^2$), but the atmospheric pressure on the surface of Venus is about 90 times greater than the sea-level pressure on Earth.

If you want to measure typical surface pressures on Venus using a mercury barometer, roughly how should the length of the barometer ($h$) compare to the typical length of a barometer used to measure sea-level pressure on Earth?

A mercury barometer

A

It should be 100 times shorter

B

It should be 10 times shorter

C

It should be the same length

D

It should be 10 times longer

E

It should be 100 times longer