A barometer is kept in an elevator accelerati | vedclass

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(B) The effective acceleration due to gravity inside an elevator accelerating downwards with acceleration $a$ is $g_{eff} = g - a$.The pressure exerte

Vedclass · Accepted Answer

Less than atmospheric pressure

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(B) The effective acceleration due to gravity inside an elevator accelerating downwards with acceleration $a$ is $g_{eff} = g - a$.The pressure exerted by a liquid column of height $h$ is given by $P = h ho g_{eff}$.Since the barometer is calibrated for standard gravity $g$,the reading $h'$ will adjust such that the pressure balance remains consistent with the local effective gravity.However,the pressure $P$ at the base of the column in the accelerating frame is $P = h ho (g - a)$.Since $(g - a) Therefore,the height of the mercury column $h$ in the barometer will decrease compared to the standard atmospheric pressure reading at rest,meaning the measured pressure is less than the atmospheric pressure $76 	ext{ cm of Hg}$.

$A$ barometer is kept in an elevator accelerating downwards with an acceleration $a$. What is the most likely pressure reading inside the elevator?

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