A barometer kept in an elevator reads 76 , cm | vedclass

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Question

(C) The correct option is $C$.When an elevator accelerates upward with an acceleration $a$, an observer inside the elevator experiences a pseudo force

Vedclass · Accepted Answer

$ < 76$

Vedclass · Answer

(C) The correct option is $C$.When an elevator accelerates upward with an acceleration $a$, an observer inside the elevator experiences a pseudo force acting downwards.This effectively increases the acceleration due to gravity from $g$ to $g^{\prime} = g + a$.The pressure exerted by the mercury column in the barometer is given by $P = \rho g h$.Since the atmospheric pressure $P$ remains constant, we have $\rho g h = \rho (g + a) h^{\prime}$, where $h^{\prime}$ is the new reading.Since $(g + a) > g$, it follows that $h^{\prime} Therefore, the new reading $h^{\prime}$ will be less than $76 \, cm$.

$A$ barometer kept in an elevator reads $76 \, cm$ when it is at rest. If the elevator goes up with some acceleration, the reading will be .......... $cm$.

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